{ "protocol": { "name": "CVP", "version": "1.0.0-proposed" }, "document_status": "proposed", "calculator": { "id": "smith-chart", "version": "1.6.3", "title": "Smith Chart Calculator", "formula_family": "smith-gamma-z", "capability_id": "electrical.rf.smith", "verification_revision": "2026-09-07.p14" }, "profile": "engineering", "verified_scope": "Z↔Γ + match-steps + auto-match + stub + Touchstone + f-sweep + Z(f) + S21/K + stab-geom + chart-xy + gain-geom + noise-geom", "status": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "smith-chart", "version": "1.6.3", "uri": "https://www.calculatorx.com/evidence/electrical.rf.smith/1.6.3.json", "verification_revision": "2026-09-07.p14" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-DIM-01", "CVP-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "Pozar Microwave Engineering", "kind": "other", "reference": "Smith chart / matching" }, { "label": "Keysight — Data Format and Scale (Smith / polar)", "kind": "other", "reference": "Smith chart maps Γ to normalized impedance; constant-r / constant-x" }, { "label": "IBIS Open Forum — Touchstone File Format Specification 2.1", "kind": "standard", "reference": "Reference specification (Touchstone 2.1); CalculatorX implements a Touchstone 1.x compatible subset" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Smith chart Γ↔z, lossless looking-in network, Pozar L-section / λ/4 / single-stub auto-match, Touchstone 1.x S11, f-sweep, Custom Z(f), 2-port S21 + Rollett K/μ, Gonzalez L/S stability circles, canonical Γ→chart XY, unilateral GTU Gs/Gl −1/−3 dB, last-row NF +0.5/+1 dB" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath/MPFR Γ↔z (recorded library/dps/backend/rounding/generator SHA-256) rounded to nearest binary64 — not Node/V8 complex arithmetic", "engine": { "name": "smith-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-even (IEEE-754 binary64 via Python float)", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "8b9b9bbda869ba82f51207c875cb3f870f3b4c029939bab97f97a07df023d6d6", "seed": "20260907", "source": "scripts/lib/cvp/oracles/generate-smith-o3.py" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT per field; ≤2 ULP. Distinct from O2 same-runtime V8 compare.", "engine": { "name": "smith-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-even (IEEE-754 binary64 via Python float)", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "8b9b9bbda869ba82f51207c875cb3f870f3b4c029939bab97f97a07df023d6d6", "seed": "20260907", "source": "scripts/lib/cvp/oracles/generate-smith-o3.py" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module smith-chart oracle (Γ↔z) — same V8 binary64 as IUT; source in-repo", "engine": { "name": "smith-chart-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-chart-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP per-field comparison vs IUT (common-mode V8 risk acknowledged)", "engine": { "name": "smith-chart-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-chart-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module looking-in match-steps (Pozar Zin / 1/z / n² / stub cot·tan) — no IUT import", "engine": { "name": "smith-match-steps-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-match-steps-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module vs IUT Γ-rotation tline; ≤8 ULP on looking-in z/Γ (algorithm family differs)", "engine": { "name": "smith-match-steps-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-match-steps-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module auto-match (Pozar L-section + λ/4 + single-stub) — no IUT import", "engine": { "name": "smith-auto-match-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-auto-match-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: n exact; best looking-in z/residual ≤8 ULP; residual=|z_in−1|₂; keep<0.08 matched<0.02", "engine": { "name": "smith-auto-match-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-auto-match-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module Touchstone 1.x S11 (MA/RI/DB, Hz–GHz) — no IUT import", "engine": { "name": "smith-touchstone-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-touchstone-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: n and Z0 exact; last-point f_Hz/Γ/z ≤2 ULP", "engine": { "name": "smith-touchstone-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-touchstone-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module f-sweep of looking-in match-steps (Pozar Zin) — no IUT import", "engine": { "name": "smith-locus-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-locus-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: n_locus exact; per-point f_Hz exact; looking-in z/Γ ≤8 ULP", "engine": { "name": "smith-locus-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-locus-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module Custom Z(f) linear interpolation (normalized z vs f) — no IUT import", "engine": { "name": "smith-zf-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-zf-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: interpolated load z then Γ↔z ≤2 ULP; looking-in ≤8 ULP", "engine": { "name": "smith-zf-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-zf-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module Touchstone 1.x 2-port S21 + Rollett K/μ — no IUT import", "engine": { "name": "smith-s21-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-s21-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: S21 mag/ang/dB ≤2 ULP; K/μ/|Δ| ≤8 ULP", "engine": { "name": "smith-s21-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-s21-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module 2-port load/source stability-circle geometry — no IUT import", "engine": { "name": "smith-stab-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-stab-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: stab L/S centre+radius ≤8 ULP (den=0 → ±∞ sentinels); origin/inside stable-side flags exact", "engine": { "name": "smith-stab-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-stab-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module canonical Γ → chart XY (size=520, pad=28) — no IUT import", "engine": { "name": "smith-chart-xy-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-chart-xy-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: chart_x/chart_y ≤2 ULP on Γ↔z; ≤8 ULP on looking-in / f-sweep locus points", "engine": { "name": "smith-chart-xy-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-chart-xy-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module 2-port unilateral GTU Gs/Gl circles at −1/−3 dB — no IUT import", "engine": { "name": "smith-gain-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-gain-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: Gs/Gl centre+radius ≤8 ULP (invalid g → omitted fields)", "engine": { "name": "smith-gain-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-gain-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module last-row NF circles at NFmin+0.5/+1 dB — no IUT import", "engine": { "name": "smith-noise-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-noise-reference.mjs", "runtime": "node-v8-binary64" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 vs IUT: NF centre+radius ≤8 ULP (missing noise / invalid rn → omitted fields)", "engine": { "name": "smith-noise-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "source": "scripts/lib/cvp/oracles/smith-noise-reference.mjs", "runtime": "node-v8-binary64" } } ], "notes": "Tabulated Γ↔z uses O3 mpmath/MPFR (smith-o3-table.json). Live Γ↔z and z↔Γ round-trip use O2 (same V8). Looking-in match-steps use Pozar-Zin O2 including shunt stubs. Auto-match uses a separate Pozar L-section/λ/4/single-stub O2 (no IUT import). Touchstone 1.x S11 uses a separate O2 parser (no IUT import). Numerical f-sweep uses a separate Pozar looking-in O2 (no IUT import). Custom Z(f) uses a separate linear-interpolation O2 (no IUT import); load is frozen at the query f. 2-port S21 + Rollett K/μ uses a separate O2 (no IUT import). Load/source stability-circle geometry uses a separate Gonzalez O2 (no IUT import). Canonical Γ→chart XY uses a separate O2 affine map (size=520, pad=28; no IUT import). Unilateral GTU Gs/Gl circles at −1/−3 dB use a separate O2 (no IUT import). Last-row NF circles at NFmin+0.5/+1 dB use a separate O2 (no IUT import). SVG markup / drag are out of scope." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "Γ=(z−1)/(z+1); z=(1+Γ)/(1−Γ); looking-in match-steps (incl. stubs); auto-match L-section + λ/4 + single-stub (Pozar); Touchstone 1.x S11; f-sweep of looking-in; Custom Z(f) linear interpolation at query f; 2-port S21 + Rollett K/μ; Gonzalez load/source stability-circle geometry; canonical Γ→chart XY (size=520, pad=28); unilateral GTU Gs/Gl circles at −1/−3 dB; last-row NF circles at NFmin+0.5/+1 dB" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "CVP covers z→Γ, Γ→z, invalid-domain, z↔Γ round-trip, looking-in match-steps (series-X/R, lumped L·C, tline, open/short stub, transformer, parallel-RLC), auto-match (L-section, λ/4, single-stub), Touchstone 1.x S11 (MA/RI/DB), numerical f-sweep of looking-in (±span around f0), Custom Z(f) linear interpolation of normalized z at the query frequency (frozen load), numerical 2-port S21 + Rollett K/μ (last .s2p row; same model as Analyze S21/K readout), Gonzalez load/source stability-circle centre+radius and origin/inside stable-side flags in the Γ-plane (same model as Analyze Stability readout; includes K≈1, |Δ|≈1, and den=0 sentinels), canonical Γ→chart XY at the default SVG viewport (size=520, pad=28, y-up in Γ / y-down in SVG; same affine map as UI toPx, including f-sweep locus points), default-viewport SVG load/Zin marker cx/cy from buildSmithChartSvg at size=520 (and the same map at size=640), unilateral GTU source/load constant-gain circles at absolute −1/−3 dB (same model as Analyze Gain −1/−3 dB readout; |S11|=1 omits Gs), and constant-NF circles at NFmin+0.5 / NFmin+1 dB from the last Touchstone 1.x noise row (NFmin, Γopt mag/ang, rn; same model as Analyze NF +0.5/+1 dB readout; rn=0 and missing noise omit circles). A Node URL-query contract (ohm↔norm conversion that preserves Z, visible R/X beating hidden z_r/z_i, illegal smith_state parse, and Basic/Match/Analyze tier) is exercised as properties; it is not a live browser session. CVP-XCAL-01 compares this IUT to electrical.rf.gamma_z (Γ↔z), electrical.rf.vswr (|Γ|→VSWR/RL), and electrical.rf.lc_match on the overlapping real-RL L-section; complex-z auto-match vs LC Match is N/A because LC Match encodes real RL↔Z0 only. Verification revision 2026-09-07.p14 distinguishes this CVP batch from earlier 1.6.3 manifests and from the legacy 21-test Evidence JSON. Live CSS-resized SVG, grid/path d= markup, stability/gain/noise overlay drawing, drag/hover, history, bilateral MAG/MSG, 3 dB bandwidth, and interactive workspace features are outside this verification scope." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "normalized z / Γ" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 mpmath table for tabulated Γ↔z + O2 live identities + O2 Pozar looking-in (incl. stubs) + O2 auto-match L-section/λ/4/stub + O2 Touchstone 1.x S11 + O2 f-sweep + O2 Custom Z(f) + O2 2-port S21/K/μ + O2 Gonzalez L/S stability circles + O2 canonical Γ→chart XY + O2 unilateral GTU Gs/Gl −1/−3 dB + O2 last-row NF +0.5/+1 dB" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "9/9 legacy golden; 43/43 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "5/5 boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "3 invalid-domain cases" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "Γ↔z ≤2 ULP vs O3 when tabulated / vs O2 live; |Γ|=1 VSWR=+∞ and RL=0; |Γ|≥0.99 but <1 VSWR/RL relative ≤1e-12 (not skipped); match-steps ≤8 ULP on z/Γ; auto-match n exact, best z/residual ≤8 ULP, each candidate residual/z/step kind/L·C·θ ≤8 ULP and L/C/R>0 (residual=|z_in−1|₂; keep<0.08, matched<0.02); Touchstone n/Z0 exact and last-point f_Hz/Γ/z ≤2 ULP; f-sweep n_locus exact and per-point z/Γ ≤8 ULP; Custom Z(f) interpolated load then Γ↔z ≤2 ULP; 2-port S21 mag/ang/dB ≤2 ULP; Rollett K/μ/|Δ| ≤8 ULP; stab L/S centre+radius ≤8 ULP; origin/inside stable-side flags exact; chart_x/chart_y ≤2 ULP on Γ↔z (canonical viewport) and ≤8 ULP on looking-in / f-sweep locus; default SVG load/Zin marker px at size=520/640; Gs/Gl −1/−3 dB centre+radius ≤8 ULP; NF NFmin+0.5/+1 dB centre+radius ≤8 ULP" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "16/16 declared partitions (z-gamma, gamma-z, match-steps, auto-match, stub, touchstone, f-sweep, zf-interp, s21-k, stab-geom, chart-xy, gain-geom, noise-geom, url-query, xcal, invalid-domain) · 9 golden / 5 boundary unique cases · 3 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "8/8 contract checks" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine smith-chart; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · evidence_digest=CVP verification fingerprint v2 (canonical inputs, expected/actual/status, policy, versions; independent of generated_at) · evidence_bundle_sha256=legacy Evidence JSON bytes · production_sha256=bound production attestation report" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "CURRENT · site report pass · local checks pass · attestation_id=00c818a77ba026c2d6aa3f7402680cd2dac2a40a816209600bc3c3fcd0b8921c · CURRENT · Public schema 1.6.3 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.6.3 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20" }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Smith chart reflection coefficient" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "53/53 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "4/4 round-trips" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 cross-calculator · xcal-gamma-z-z2j1 PASS vs electrical.rf.gamma_z; xcal-vswr-z2j1 PASS vs electrical.rf.vswr; xcal-lc-match-complex-na N/A (LC Match encodes real RL↔Z0 L-section only (formula_family l-section-match). Complex z=2+j1 auto-match is outside that tool.); xcal-lc-match-real-z2 PASS vs electrical.rf.lc_match" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 12/12 tabulated vectors vs IUT" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "expert_reviewed=false" } }, "tests": { "golden": { "passed": 43, "total": 43, "failed": 0, "case_ids": [ "g-matched", "g-short", "g-jx", "g-near-open", "g-z2", "g-z2j1", "g-gamma-z-2j1", "g-series-x", "g-tline-90-real", "g-tline-90-complex", "g-transformer", "g-series-R", "g-auto-l-z2", "g-auto-l-z2j1", "g-auto-l-z2j1-2440", "g-auto-qw-z2", "g-auto-matched", "g-stub-open-45", "g-stub-short-45", "g-auto-stub-z2", "g-ts-ma-hz", "g-ts-ri", "g-ts-db", "g-ts-s2p", "g-ts-last-of-two", "g-s21-ang", "g-s21-last-of-two", "g-ts-s2p-noise", "g-s21-k1", "g-s21-delta1", "g-stab-den0", "g-gain-s11-rim", "g-nf-rn0", "g-nf-gopt-rim", "g-fsweep-series-L", "g-fsweep-series-C", "g-fsweep-tline", "g-zf-mid", "g-zf-clamp-lo", "g-zf-clamp-hi", "g-zf-unsorted", "g-zf-overrides-zr", "g-zf-match-series-x" ] }, "boundary": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "bad", "ts-empty", "boundary-smith-s11", "boundary-smith-auto", "boundary-smith-ts-v2" ] }, "invalid": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "bad", "ts-empty", "boundary-smith-ts-v2" ] }, "property": { "passed": 53, "total": 53, "failed": 0, "case_ids": [ "prop-matched-gamma-zero", "prop-pure-reactance-unit-circle", "prop-short-vswr-inf", "prop-near-open-vswr", "prop-admittance-inverse", "prop-gamma-z-inverts-z-gamma", "prop-tline-90-inverts-real", "prop-tline-90-complex", "prop-auto-l-matches-real", "prop-auto-l-z2j1-2440", "prop-auto-qw-matches-real", "prop-auto-already-matched", "prop-stub-open-45", "prop-auto-stub-matches-real", "prop-ts-ma-third", "prop-ts-last-point", "prop-ts-ghz-scale", "prop-fsweep-n5", "prop-fsweep-L-x-increases", "prop-zf-midpoint", "prop-zf-clamp-lo", "prop-zf-unsorted", "prop-s21-db-identity", "prop-s21-k-gt1", "prop-s1p-no-s21", "prop-s21-last-wins", "prop-stab-radii-positive", "prop-chart-xy-center", "prop-chart-xy-short", "prop-chart-xy-yflip", "prop-chart-xy-affine", "prop-gain-radii-positive", "prop-gain-s11-conj", "prop-nf-radii-positive", "prop-nf-gopt-arg", "prop-nf-last-wins", "prop-s2p-no-noise", "prop-s1p-noise-no-s21", "prop-stab-k1-not-unconditional", "prop-stab-delta-near-1", "prop-stab-den0-sentinel", "prop-stab-unconditional-nominal", "prop-gain-s11-rim-omits-gs", "prop-nf-rn0-omits", "prop-nf-gopt-near-rim", "prop-svg-load-zin-default", "prop-svg-size-640", "prop-url-ohm-beats-zr", "prop-url-ohm-norm-preserves-z", "prop-url-gamma-ignores-rx", "prop-url-illegal-smith-state", "prop-url-tier-normalize", "prop-url-f-mhz-ignored-for-z-gamma" ], "definition_ids": [ "matched-load-gamma-zero", "lossless-reactance-unit-circle", "short-vswr-is-infinity", "near-open-vswr-not-skipped", "y-equals-1-over-z", "gamma-z-inverts-z-gamma", "quarter-wave-inverts-real-z", "quarter-wave-inverts-complex-z", "auto-match-l-section-real-z", "auto-match-l-section-complex-2440", "auto-match-qw-real-z", "auto-match-already-matched", "open-stub-shunt-b", "auto-match-single-stub-real-z", "touchstone-s11-ma-to-gamma", "touchstone-s11-last-point-wins", "touchstone-s11-ghz-to-hz", "f-sweep-point-count", "f-sweep-series-L-reactance-rises", "zf-linear-midpoint", "zf-clamp-below-table", "zf-unsorted-table-same", "s21-db-is-20-log10-mag", "s2p-rollett-k-gt1", "s1p-omits-s21-k", "s2p-last-row-wins", "stab-ls-radii-positive", "chart-xy-matched-is-origin", "chart-xy-short-is-left-rim", "chart-xy-positive-im-is-up", "chart-xy-affine-of-gamma", "gain-gs-gl-radii-positive", "gain-gs-centre-uses-s11-conj", "nf-p1-radius-gt-p05", "nf-centre-follows-gopt-argument", "nf-last-row-wins", "s2p-without-noise-omits-nf", "s1p-noise-has-nf-omits-s21", "stab-k-near-1-not-unconditional", "stab-delta-near-1-small-den", "stab-load-den0-infinite-radius", "stab-ts-s2p-unconditional-and-origin-stable", "gain-s11-on-rim-omits-gs", "nf-rn-zero-omits-circles", "nf-gopt-mag-near-1", "svg-default-viewport-load-zin-markers", "svg-size-640-affine-map", "url-physical-rx-beats-hidden-zr", "url-unit-switch-preserves-normalized-z", "url-gamma-z-ignores-physical-rx", "url-illegal-smith-state-empty-payload", "url-smith-tier-normalize", "url-z-gamma-independent-of-frequency" ] }, "round_trip": { "passed": 4, "total": 4, "failed": 0, "case_ids": [ "rt-z-gamma-z-2j1-r", "rt-z-gamma-z-2j1-i", "rt-gamma-z-gamma-04-r", "rt-gamma-z-gamma-04-i" ] }, "metamorphic": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "meta-conjugate-z", "meta-tline-mag", "meta-tline-180", "meta-series-L-omega", "meta-series-R-z0-scale" ], "definition_ids": [ "conjugate-z-conjugates-gamma", "lossless-tline-preserves-gamma-mag", "two-quarter-waves-restore-z", "series-L-invariant-under-f-L-scale", "physical-R-scales-with-Z0" ] }, "contract": { "passed": 8, "total": 8, "failed": 0 }, "cross_interface": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "iface-z2", "iface-z2j1", "iface-gamma-z" ] }, "cross_calculator": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "xcal-gamma-z-z2j1", "xcal-vswr-z2j1", "xcal-lc-match-real-z2" ] }, "o3": { "passed": 12, "total": 12, "failed": 0, "case_ids": [ "o3-matched", "o3-short", "o3-jx", "o3-z2", "o3-z2j1", "o3-near-match", "o3-near-open", "o3-pure-x-small", "o3-gamma-z-2j1", "o3-gamma-zero", "o3-gamma-neg1", "o3-gamma-j" ], "generator_id": "smith-mpmath-o3", "seed": "20260907", "max_error_ulp": 2 } }, "coverage": { "partitions": [ { "id": "z-gamma", "description": "z → Γ", "exercised": true, "case_count": 38 }, { "id": "gamma-z", "description": "Γ → z", "exercised": true, "case_count": 8 }, { "id": "match-steps", "description": "Looking-in matching network steps", "exercised": true, "case_count": 25 }, { "id": "auto-match", "description": "Analytical L-section, λ/4, and single-stub auto-match", "exercised": true, "case_count": 13 }, { "id": "stub", "description": "Shunt open/short stub looking-in and single-stub auto-match", "exercised": true, "case_count": 5 }, { "id": "touchstone", "description": "Touchstone 1.x S11 → Γ(f) / last-point z", "exercised": true, "case_count": 38 }, { "id": "f-sweep", "description": "Numerical looking-in f-sweep (±span around f0)", "exercised": true, "case_count": 5 }, { "id": "zf-interp", "description": "Custom Z(f) linear interpolation of normalized load at query f", "exercised": true, "case_count": 9 }, { "id": "s21-k", "description": "2-port Touchstone last-row |S21|/∠S21/dB and Rollett K/μ", "exercised": true, "case_count": 27 }, { "id": "stab-geom", "description": "Gonzalez load/source stability-circle centre+radius and origin/inside stable-side flags", "exercised": true, "case_count": 27 }, { "id": "chart-xy", "description": "Canonical Γ → chart XY (size=520, pad=28)", "exercised": true, "case_count": 46 }, { "id": "gain-geom", "description": "Unilateral GTU Gs/Gl constant-gain circles at −1/−3 dB", "exercised": true, "case_count": 27 }, { "id": "noise-geom", "description": "Last-row constant-NF circles at NFmin+0.5 / NFmin+1 dB", "exercised": true, "case_count": 9 }, { "id": "url-query", "description": "Node URL-query contract: ohm↔norm preserves Z, visible R/X beats hidden z_r/z_i, illegal smith_state, tier (not live history/CSS/drag)", "exercised": true, "case_count": 6 }, { "id": "xcal", "description": "Cross-calculator consistency vs Γ↔z, VSWR, and overlapping real-RL LC Match (complex-z LC Match is N/A)", "exercised": true, "case_count": 3 }, { "id": "invalid-domain", "description": "Invalid Γ↔z inputs (negative R / |Γ|>1)", "exercised": true, "case_count": 1 } ] }, "numerical": { "representation": "IEEE-754 binary64", "tolerance": { "type": "ulp", "value": 2, "match_steps_value": 8, "rationale": "Γ↔z finite fields ≤2 ULP vs O2/O3. |x|≤1e-14 is numerical zero. |Γ|=1: VSWR is +∞ (sentinel); RL is 0 (unit-circle convention). |Γ|≥0.99 but <1: VSWR/RL compared by relative error ≤1e-12 vs O2/O3 (binary64 ULP of large VSWR is not the claim). Looking-in match-steps ≤8 ULP on z/Γ (Pozar Zin vs IUT Γ-rotation); derived y/VSWR/RL not in that claim. Auto-match: n/already_matched exact; best looking-in z/residual ≤8 ULP; each candidate id compared for residual, looking-in z, step kind, and L/C/θ (independent looking-in O2, not the optimizer matched flag); L/C/R on each candidate must be >0. Residual is |z_in−1|₂ (normalized). Candidate keep residual<0.08; matched residual<0.02. Touchstone 1.x S11: n/Z0 exact; last-point f_Hz/Γ/z ≤2 ULP. f-sweep: n_locus exact; per-point f_Hz exact; looking-in z/Γ ≤8 ULP. Custom Z(f) linear interpolation then Γ↔z ≤2 ULP (looking-in ≤8 ULP). 2-port S21 mag/ang/dB ≤2 ULP; Rollett K/μ/|Δ| ≤8 ULP; stab L/S centre+radius ≤8 ULP (den=0 → ±∞ sentinels); origin/inside stable-side flags exact; K>1 and |Δ|<1 → stab_unconditional. Unilateral GTU Gs/Gl circles at −1/−3 dB: centre+radius ≤8 ULP (invalid g → omitted). Last-row constant-NF circles at NFmin+0.5/+1 dB: centre+radius ≤8 ULP (missing noise / invalid rn → omitted). Canonical chart XY (size=520, pad=28): chart_x/chart_y ≤2 ULP on Γ↔z / Touchstone last Γ; ≤8 ULP on looking-in and f-sweep locus points. Declared a priori.", "declared_before_evaluation": true, "fields": [ "gamma_r", "gamma_i", "z_r", "z_i", "y_r", "y_i", "gamma_mag", "VSWR", "RL_dB" ] }, "max_error_observed": 5, "records": [ { "id": "g-matched", "reference": { "mode": "z-gamma", "z_r": 1, "z_i": 0, "y_r": 1, "y_i": 0, "gamma_r": 0, "gamma_i": 0, "gamma_mag": 0, "gamma_angle_deg": 0, "VSWR": 1, "RL_dB": null, "chart_x": 260, "chart_y": 260 }, "actual": { "mode": "z-gamma", "z_r": 1, "z_i": 0, "y_r": 1, "y_i": 0, "gamma_r": 0, "gamma_i": 0, "gamma_mag": 0, "gamma_angle_deg": 0, "VSWR": 1, "RL_dB": null, "chart_x": 260, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-short", "reference": { "mode": "z-gamma", "z_r": 0, "z_i": 0, "y_r": null, "y_i": 0, "gamma_r": -1, "gamma_i": 0, "gamma_mag": 1, "gamma_angle_deg": 180, "VSWR": null, "RL_dB": 0, "chart_x": 28, "chart_y": 260 }, "actual": { "mode": "z-gamma", "z_r": 0, "z_i": 0, "y_r": null, "y_i": 0, "gamma_r": -1, "gamma_i": 0, "gamma_mag": 1, "gamma_angle_deg": 180, "VSWR": null, "RL_dB": 0, "chart_x": 28, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-jx", "reference": { "mode": "z-gamma", "z_r": 0, "z_i": 1, "y_r": 0, "y_i": -1, "gamma_r": 0, "gamma_i": 1, "gamma_mag": 1, "gamma_angle_deg": 90, "VSWR": null, "RL_dB": 0, "chart_x": 260, "chart_y": 28 }, "actual": { "mode": "z-gamma", "z_r": 0, "z_i": 1, "y_r": 0, "y_i": -1, "gamma_r": 0, "gamma_i": 1, "gamma_mag": 1, "gamma_angle_deg": 90, "VSWR": null, "RL_dB": 0, "chart_x": 260, "chart_y": 28 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-near-open", "reference": { "mode": "z-gamma", "z_r": 1000, "z_i": 0, "y_r": 0.001, "y_i": 0, "gamma_r": 0.998001998001998, "gamma_i": 0, "gamma_mag": 0.998001998001998, "gamma_angle_deg": 0, "VSWR": 999.9999999999782, "RL_dB": 0.017371785066727017, "chart_x": 491.53646353646354, "chart_y": 260 }, "actual": { "mode": "z-gamma", "z_r": 1000, "z_i": 0, "y_r": 0.001, "y_i": 0, "gamma_r": 0.998001998001998, "gamma_i": 0, "gamma_mag": 0.998001998001998, "gamma_angle_deg": 0, "VSWR": 999.9999999999782, "RL_dB": 0.017371785066727017, "chart_x": 491.53646353646354, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-z2", "reference": { "mode": "z-gamma", "z_r": 2, "z_i": 0, "y_r": 0.5, "y_i": 0, "gamma_r": 0.3333333333333333, "gamma_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "z-gamma", "z_r": 2, "z_i": 0, "y_r": 0.5, "y_i": 0, "gamma_r": 0.3333333333333333, "gamma_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-z2j1", "reference": { "mode": "z-gamma", "z_r": 2, "z_i": 1, "y_r": 0.4, "y_i": -0.2, "gamma_r": 0.4, "gamma_i": 0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "chart_x": 352.8, "chart_y": 213.6 }, "actual": { "mode": "z-gamma", "z_r": 2, "z_i": 1, "y_r": 0.4, "y_i": -0.2, "gamma_r": 0.4, "gamma_i": 0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "chart_x": 352.8, "chart_y": 213.6 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-gamma-z-2j1", "reference": { "mode": "gamma-z", "gamma_r": 0.4, "gamma_i": 0.2, "z_r": 1.9999999999999998, "z_i": 0.9999999999999999, "y_r": 0.4, "y_i": -0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "chart_x": 352.8, "chart_y": 213.6 }, "actual": { "mode": "gamma-z", "gamma_r": 0.4, "gamma_i": 0.2, "z_r": 1.9999999999999998, "z_i": 0.9999999999999999, "y_r": 0.4, "y_i": -0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "chart_x": 352.8, "chart_y": 213.6 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-series-x", "reference": { "mode": "match-steps", "Z0_ohm": 50, "f_Hz": 1000000000, "load_z_r": 2, "load_z_i": 0, "z_r": 2, "z_i": 1, "y_r": 0.4, "y_i": -0.2, "gamma_r": 0.4, "gamma_i": 0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "chart_x": 352.8, "chart_y": 213.6 }, "actual": { "mode": "match-steps", "Z0_ohm": 50, "f_Hz": 1000000000, "load_z_r": 2, "load_z_i": 0, "z_r": 2, "z_i": 1, "y_r": 0.4, "y_i": -0.2, "gamma_r": 0.4, "gamma_i": 0.2, "gamma_mag": 0.447213595499958, "gamma_angle_deg": 26.56505117707799, "VSWR": 2.618033988749895, "RL_dB": 6.9897000433601875, "steps": [ { "index": 0, "kind": "series-X", "L_H": null, "C_F": null, "R_ohm": null, "n": null, "theta_deg": null, "Z0_line_ohm": null, "Z0_stub_ohm": null, "x_norm": 1, "b_norm": 0, "z_r": 2, "z_i": 1 } ], "path": [ { "gamma_r": 0.3333333333333333, "gamma_i": 0 }, { "gamma_r": 0.4, "gamma_i": 0.2 } ], "matched": false, "note": "Looking-in after steps from load toward generator (L·C·R · tline · stub · transformer · ‖RLC). 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0.9999999999999998, "z_i": -3.330669073875468e-16, "VSWR": 1.0000000000000004, "note": "Lossless line to g=1, then shunt stub cancels B." } ], "n": 4, "best": { "id": "stub-open-n", "topology": "stub", "name": "Single open stub (−g=1)", "steps": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "residual": 1.1102230246251565e-16, "gamma_mag": 5.551115123125783e-17, "matched": true, "z_r": 1, "z_i": 1.1102230246251565e-16, "VSWR": 1, "note": "Lossless line to g=1, then shunt stub cancels B." }, "note": "Analytical L-section / single-stub / λ/4 candidates, verified on the looking-in O2." }, "actual": { "mode": "auto-match", "Z0_ohm": 50, "f_Hz": 1000000000, "load_z_r": 2, "load_z_i": 0, "already_matched": false, "solutions": [ { "id": "stub-open-n", "topology": "stub", "name": "Single open stub (−g=1)", "steps": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "residual": 2.220446049250313e-16, "gamma_mag": 1.1102230246251565e-16, "matched": true, "z_r": 1, "z_i": 2.220446049250313e-16, "VSWR": 1.0000000000000002, "note": "Lossless line to g=1, then shunt stub cancels B." }, { "id": "stub-short-n", "topology": "stub", "name": "Single short stub (−g=1)", "steps": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-short", "theta_deg": 54.735610317245346, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-short", "theta_deg": 54.735610317245346, "Z0_stub_ohm": 50 } ], "residual": 2.220446049250313e-16, "gamma_mag": 1.1102230246251565e-16, "matched": true, "z_r": 1, "z_i": 2.220446049250313e-16, "VSWR": 1.0000000000000002, "note": "Lossless line to g=1, then shunt stub cancels B." }, { "id": "stub-open-p", "topology": "stub", "name": "Single open stub (+g=1)", "steps": [ { "kind": "tline", "theta_deg": 125.26438968275465, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 35.26438968275467, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 125.26438968275465, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 35.26438968275467, "Z0_stub_ohm": 50 } ], "residual": 3.1401849173675493e-16, "gamma_mag": 1.570092458683775e-16, "matched": true, "z_r": 0.9999999999999998, "z_i": -2.220446049250312e-16, "VSWR": 1.0000000000000004, "note": "Lossless line to g=1, then shunt stub cancels B." }, { "id": "stub-short-p", "topology": "stub", "name": "Single short stub (+g=1)", "steps": [ { "kind": "tline", "theta_deg": 125.26438968275465, "Z0_line_ohm": 50 }, { "kind": "stub-short", "theta_deg": 125.26438968275465, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 125.26438968275465, "Z0_line_ohm": 50 }, { "kind": "stub-short", "theta_deg": 125.26438968275465, "Z0_stub_ohm": 50 } ], "residual": 3.1401849173675493e-16, "gamma_mag": 1.570092458683775e-16, "matched": true, "z_r": 0.9999999999999998, "z_i": 2.220446049250312e-16, "VSWR": 1.0000000000000004, "note": "Lossless line to g=1, then shunt stub cancels B." } ], "n": 4, "best": { "id": "stub-open-n", "topology": "stub", "name": "Single open stub (−g=1)", "steps": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "steps_norm": [ { "kind": "tline", "theta_deg": 54.735610317245346, "Z0_line_ohm": 50 }, { "kind": "stub-open", "theta_deg": 144.73561031724535, "Z0_stub_ohm": 50 } ], "residual": 2.220446049250313e-16, "gamma_mag": 1.1102230246251565e-16, "matched": true, "z_r": 1, "z_i": 2.220446049250313e-16, "VSWR": 1.0000000000000002, "note": "Lossless line to g=1, then shunt stub cancels B." }, "note": "Analytical L-section / single-stub / λ/4 candidates, verified on the match engine." }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "already_matched": { "ok": true, "error_ulp": 0 }, "best.z_r": { "ok": true, "error_ulp": 0 }, "best.z_i": { "ok": true, "error_ulp": 0 }, "best.residual": { "ok": true, "error_ulp": 0 }, "best.gamma_mag": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.matched_residual": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.passive_positive": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.z_r": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.z_i": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.residual": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.gamma_mag": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.steps[0].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.steps[0].Z0_line_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.steps[1].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-open-n.steps[1].Z0_stub_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.matched_residual": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.passive_positive": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.z_r": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.z_i": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.residual": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.gamma_mag": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.steps[0].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.steps[0].Z0_line_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.steps[1].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-short-n.steps[1].Z0_stub_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.matched_residual": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.passive_positive": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.z_r": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.z_i": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.residual": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.gamma_mag": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.steps[0].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.steps[0].Z0_line_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.steps[1].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-short-p.steps[1].Z0_stub_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.matched_residual": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.passive_positive": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.z_r": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.z_i": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.residual": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.gamma_mag": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.steps[0].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.steps[0].Z0_line_ohm": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.steps[1].theta_deg": { "ok": true, "error_ulp": 0 }, "sol.stub-open-p.steps[1].Z0_stub_ohm": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-ma-hz", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-ri", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-db", "reference": { "mode": "s11-touchstone", "gamma_r": 0.33333333333333326, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.33333333333333326, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.33333333333333326, "gamma_i": 0 } ], "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.33333333333333326, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.33333333333333326, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.33333333333333326, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-s2p", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-last-of-two", "reference": { "mode": "s11-touchstone", "gamma_r": 0.17320508075688776, "gamma_i": 0.09999999999999999, "z_r": 1.3841033226427042, "z_i": 0.28835485888389667, "y_r": 0.6924357788547999, "y_i": -0.1442574539280833, "gamma_mag": 0.2, "gamma_angle_deg": 29.999999999999993, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "Z0_ohm": 50, "n": 2, "f_Hz": 2000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 }, { "f_Hz": 2000000000, "gamma_r": 0.17320508075688776, "gamma_i": 0.09999999999999999 } ], "chart_x": 300.18357873559796, "chart_y": 236.8 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 2, "f_Hz": 2000000000, "gamma_r": 0.17320508075688776, "gamma_i": 0.09999999999999999, "z_r": 1.3841033226427042, "z_i": 0.28835485888389667, "y_r": 0.6924357788547999, "y_i": -0.1442574539280833, "gamma_mag": 0.2, "gamma_angle_deg": 29.999999999999993, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 }, { "f_Hz": 2000000000, "gamma_r": 0.17320508075688776, "gamma_i": 0.09999999999999999 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "chart_x": 300.18357873559796, "chart_y": 236.8 }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-s21-ang", "reference": { "mode": "s11-touchstone", "gamma_r": 0.2, "gamma_i": 0, "z_r": 1.4999999999999996, "z_i": 0, "y_r": 0.6666666666666669, "y_i": 0, "gamma_mag": 0.2, "gamma_angle_deg": 0, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.2, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.5, "s21_mag_dB": -6.020599913279624, "s21_ang_deg": 90, "K": 17.4845, "mu": 3.0666674381554357, "delta_mag": 0.06499999999999999, "stab_unconditional": true, "stab_L_cx": 3.357621684640047, "stab_L_cy": -0.058292043136111936, "stab_L_r": 0.29146021568055963, "stab_S_cx": 5.087351502445841, "stab_S_cy": -0.2096436058700209, "stab_S_r": 0.6988120195667364, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.15397342925468363, "gs_m1_cy": 0, "gs_m1_r": 0.47227744472088895, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gs_m3_cx": 0.098267431440678, "gs_m3_cy": 0, "gs_m3_r": 0.7061627606936114, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 306.4, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.2, "gamma_i": 0, "z_r": 1.4999999999999996, "z_i": 0, "y_r": 0.6666666666666669, "y_i": 0, "gamma_mag": 0.2, "gamma_angle_deg": 0, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.2, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.5, "s21_mag_dB": -6.020599913279624, "s21_ang_deg": 90, "K": 17.4845, "mu": 3.0666674381554357, "delta_mag": 0.06499999999999999, "stab_unconditional": true, "stab_L_cx": 3.357621684640047, "stab_L_cy": -0.058292043136111936, "stab_L_r": 0.29146021568055963, "stab_S_cx": 5.087351502445841, "stab_S_cy": -0.2096436058700209, "stab_S_r": 0.6988120195667364, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.15397342925468363, "gs_m1_cy": 0, "gs_m1_r": 0.47227744472088895, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gs_m3_cx": 0.098267431440678, "gs_m3_cy": 0, "gs_m3_r": 0.7061627606936114, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 306.4, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-s21-last-of-two", "reference": { "mode": "s11-touchstone", "gamma_r": 0.2, "gamma_i": 0, "z_r": 1.4999999999999996, "z_i": 0, "y_r": 0.6666666666666669, "y_i": 0, "gamma_mag": 0.2, "gamma_angle_deg": 0, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "Z0_ohm": 50, "n": 2, "f_Hz": 2000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 }, { "f_Hz": 2000000000, "gamma_r": 0.2, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.5, "s21_mag_dB": -6.020599913279624, "s21_ang_deg": 90, "K": 17.4845, "mu": 3.0666674381554357, "delta_mag": 0.06499999999999999, "stab_unconditional": true, "stab_L_cx": 3.357621684640047, "stab_L_cy": -0.058292043136111936, "stab_L_r": 0.29146021568055963, "stab_S_cx": 5.087351502445841, "stab_S_cy": -0.2096436058700209, "stab_S_r": 0.6988120195667364, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.15397342925468363, "gs_m1_cy": 0, "gs_m1_r": 0.47227744472088895, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gs_m3_cx": 0.098267431440678, "gs_m3_cy": 0, "gs_m3_r": 0.7061627606936114, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 306.4, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 2, "f_Hz": 2000000000, "gamma_r": 0.2, "gamma_i": 0, "z_r": 1.4999999999999996, "z_i": 0, "y_r": 0.6666666666666669, "y_i": 0, "gamma_mag": 0.2, "gamma_angle_deg": 0, "VSWR": 1.4999999999999998, "RL_dB": 13.979400086720375, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 }, { "f_Hz": 2000000000, "gamma_r": 0.2, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.5, "s21_mag_dB": -6.020599913279624, "s21_ang_deg": 90, "K": 17.4845, "mu": 3.0666674381554357, "delta_mag": 0.06499999999999999, "stab_unconditional": true, "stab_L_cx": 3.357621684640047, "stab_L_cy": -0.058292043136111936, "stab_L_r": 0.29146021568055963, "stab_S_cx": 5.087351502445841, "stab_S_cy": -0.2096436058700209, "stab_S_r": 0.6988120195667364, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.15397342925468363, "gs_m1_cy": 0, "gs_m1_r": 0.47227744472088895, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gs_m3_cx": 0.098267431440678, "gs_m3_cy": 0, "gs_m3_r": 0.7061627606936114, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 306.4, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-ts-s2p-noise", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "nf_p05_cx": 1.9595670485085396e-17, "nf_p05_cy": 0.32002158497827565, "nf_p05_r": 0.4175538509162721, "nf_p1_cx": 1.6005047752427775e-17, "nf_p1_cy": 0.2613822657042196, "nf_p1_r": 0.5570566562589793, "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "nf_p05_cx": 1.9595670485085396e-17, "nf_p05_cy": 0.32002158497827565, "nf_p05_r": 0.4175538509162721, "nf_p1_cx": 1.6005047752427775e-17, "nf_p1_cy": 0.2613822657042196, "nf_p1_r": 0.5570566562589793, "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "nf_p05_cx": { "ok": true, "error_ulp": 0 }, "nf_p05_cy": { "ok": true, "error_ulp": 0 }, "nf_p05_r": { "ok": true, "error_ulp": 0 }, "nf_p1_cx": { "ok": true, "error_ulp": 0 }, "nf_p1_cy": { "ok": true, "error_ulp": 0 }, "nf_p1_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-s21-k1", "reference": { "mode": "s11-touchstone", "gamma_r": 0.602, "gamma_i": 0, "z_r": 4.025125628140703, "z_i": 0, "y_r": 0.24843945068664172, "y_i": 0, "gamma_mag": 0.602, "gamma_angle_deg": 0, "VSWR": 4.025125628140703, "RL_dB": 4.408070174843509, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.602, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.398, "s21_mag_dB": -8.002338558526244, "s21_ang_deg": 0, "K": 1.0000000000000002, "mu": 1, "delta_mag": 0.20399999999999993, "stab_unconditional": false, "stab_L_cx": 1.4937965260545907, "stab_L_cy": 0, "stab_L_r": 0.4937965260545907, "stab_S_cx": 1.4937965260545907, "stab_S_cy": 0, "stab_S_r": 0.4937965260545907, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.37130024017378754, "gs_m1_cy": 0, "gs_m1_r": 0.5454936444825351, "gl_m1_cx": 0.37130024017378754, "gl_m1_cy": 0, "gl_m1_r": 0.5454936444825351, "gs_m3_cx": 0.25533723588358864, "gs_m3_cy": 0, "gs_m3_r": 0.698094446090202, "gl_m3_cx": 0.25533723588358864, "gl_m3_cy": 0, "gl_m3_r": 0.698094446090202, "chart_x": 399.664, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.602, "gamma_i": 0, "z_r": 4.025125628140703, "z_i": 0, "y_r": 0.24843945068664172, "y_i": 0, "gamma_mag": 0.602, "gamma_angle_deg": 0, "VSWR": 4.025125628140703, "RL_dB": 4.408070174843509, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.602, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.398, "s21_mag_dB": -8.002338558526244, "s21_ang_deg": 0, "K": 1.0000000000000002, "mu": 1, "delta_mag": 0.20399999999999993, "stab_unconditional": false, "stab_L_cx": 1.4937965260545907, "stab_L_cy": 0, "stab_L_r": 0.4937965260545907, "stab_S_cx": 1.4937965260545907, "stab_S_cy": 0, "stab_S_r": 0.4937965260545907, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.37130024017378754, "gs_m1_cy": 0, "gs_m1_r": 0.5454936444825351, "gl_m1_cx": 0.37130024017378754, "gl_m1_cy": 0, "gl_m1_r": 0.5454936444825351, "gs_m3_cx": 0.25533723588358864, "gs_m3_cy": 0, "gs_m3_r": 0.698094446090202, "gl_m3_cx": 0.25533723588358864, "gl_m3_cy": 0, "gl_m3_r": 0.698094446090202, "chart_x": 399.664, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-s21-delta1", "reference": { "mode": "s11-touchstone", "gamma_r": 0.999, "gamma_i": 0, "z_r": 1998.9999999999984, "z_i": 0, "y_r": 0.0005002501250625317, "y_i": 0, "gamma_mag": 0.999, "gamma_angle_deg": 0, "VSWR": 1998.9999999999984, "RL_dB": 0.008690235480353834, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.999, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.001, "s21_mag_dB": -60, "s21_ang_deg": 0, "K": 0.9999999999732445, "mu": 0.9999999999999588, "delta_mag": 0.998, "stab_unconditional": false, "stab_L_cx": 1.0005007511267043, "stab_L_cy": 0, "stab_L_r": 0.0005007511266900284, "stab_S_cx": 1.0005007511267043, "stab_S_cy": 0, "stab_S_r": 0.0005007511266900284, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.44263738276066, "gs_m1_cy": 0, "gs_m1_r": 0.5573622197596451, "gl_m1_cx": 0.44263738276066, "gl_m1_cy": 0, "gl_m1_r": 0.5573622197596451, "gs_m3_cx": 0.33374945498585123, "gs_m3_cy": 0, "gs_m3_r": 0.6662502942949592, "gl_m3_cx": 0.33374945498585123, "gl_m3_cy": 0, "gl_m3_r": 0.6662502942949592, "chart_x": 491.76800000000003, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.999, "gamma_i": 0, "z_r": 1998.9999999999984, "z_i": 0, "y_r": 0.0005002501250625317, "y_i": 0, "gamma_mag": 0.999, "gamma_angle_deg": 0, "VSWR": 1998.9999999999984, "RL_dB": 0.008690235480353834, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.999, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.001, "s21_mag_dB": -60, "s21_ang_deg": 0, "K": 0.9999999999732445, "mu": 0.9999999999999588, "delta_mag": 0.998, "stab_unconditional": false, "stab_L_cx": 1.0005007511267043, "stab_L_cy": 0, "stab_L_r": 0.0005007511266900284, "stab_S_cx": 1.0005007511267043, "stab_S_cy": 0, "stab_S_r": 0.0005007511266900284, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.44263738276066, "gs_m1_cy": 0, "gs_m1_r": 0.5573622197596451, "gl_m1_cx": 0.44263738276066, "gl_m1_cy": 0, "gl_m1_r": 0.5573622197596451, "gs_m3_cx": 0.33374945498585123, "gs_m3_cy": 0, "gs_m3_r": 0.6662502942949592, "gl_m3_cx": 0.33374945498585123, "gl_m3_cy": 0, "gl_m3_r": 0.6662502942949592, "chart_x": 491.76800000000003, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-stab-den0", "reference": { "mode": "s11-touchstone", "gamma_r": 1, "gamma_i": 0, "z_r": null, "z_i": null, "y_r": null, "y_i": 0, "gamma_mag": 1, "gamma_angle_deg": 0, "VSWR": null, "RL_dB": 0, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0, "s21_mag_dB": -300, "s21_ang_deg": 0, "K": null, "mu": null, "delta_mag": 0.5, "stab_L_cx": null, "stab_L_cy": null, "stab_L_r": null, "stab_S_cx": 1, "stab_S_cy": 0, "stab_S_r": 0, "stab_L_origin_stable": false, "stab_S_origin_stable": true, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 492, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0, "z_r": null, "z_i": null, "y_r": null, "y_i": null, "gamma_mag": 1, "gamma_angle_deg": 0, "VSWR": null, "RL_dB": 0, "points": [ { "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0, "s21_mag_dB": -300, "s21_ang_deg": 0, "K": null, "mu": null, "delta_mag": 0.5, "stab_L_cx": null, "stab_L_cy": null, "stab_L_r": null, "stab_S_cx": 1, "stab_S_cy": 0, "stab_S_r": 0, "stab_L_origin_stable": false, "stab_S_origin_stable": true, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 492, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-gain-s11-rim", "reference": { "mode": "s11-touchstone", "gamma_r": 1, "gamma_i": 0, "z_r": null, "z_i": null, "y_r": null, "y_i": 0, "gamma_mag": 1, "gamma_angle_deg": 0, "VSWR": null, "RL_dB": 0, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": -0.29500000000000004, "mu": 0, "delta_mag": 0.29, "stab_unconditional": false, "stab_L_cx": 1.694915254237289, "stab_L_cy": 0, "stab_L_r": 1.6949152542372878, "stab_S_cx": 0.9968337154711213, "stab_S_cy": 0, "stab_S_r": 0.010918222513374824, "stab_L_origin_stable": false, "stab_S_origin_stable": true, "stab_L_inside_stable": true, "stab_S_inside_stable": false, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 492, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0, "z_r": null, "z_i": null, "y_r": null, "y_i": null, "gamma_mag": 1, "gamma_angle_deg": 0, "VSWR": null, "RL_dB": 0, "points": [ { "f_Hz": 1000000000, "gamma_r": 1, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": -0.29500000000000004, "mu": 0, "delta_mag": 0.29, "stab_unconditional": false, "stab_L_cx": 1.694915254237289, "stab_L_cy": 0, "stab_L_r": 1.6949152542372878, "stab_S_cx": 0.9968337154711213, "stab_S_cy": 0, "stab_S_r": 0.010918222513374824, "stab_L_origin_stable": false, "stab_S_origin_stable": true, "stab_L_inside_stable": true, "stab_S_inside_stable": false, "gl_m1_cx": 0.22239925008231445, "gl_m1_cy": 0, "gl_m1_r": 0.4913357485516055, "gl_m3_cx": 0.14386679212800965, "gl_m3_cy": 0, "gl_m3_r": 0.7056781436878776, "chart_x": 492, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-nf-rn0", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-nf-gopt-rim", "reference": { "mode": "s11-touchstone", "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "nf_p05_cx": 0.5342162827661289, "nf_p05_cy": 0, "nf_p05_r": 0.46572578842009527, "nf_p1_cx": 0.35225450603569314, "nf_p1_cy": 0, "nf_p1_r": 0.6477180279163365, "chart_x": 337.3333333333333, "chart_y": 260 }, "actual": { "mode": "s11-touchstone", "Z0_ohm": 50, "n": 1, "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0, "z_r": 1.9999999999999998, "z_i": 0, "y_r": 0.5000000000000001, "y_i": 0, "gamma_mag": 0.3333333333333333, "gamma_angle_deg": 0, "VSWR": 1.9999999999999998, "RL_dB": 9.54242509439325, "points": [ { "f_Hz": 1000000000, "gamma_r": 0.3333333333333333, "gamma_i": 0 } ], "note": "Parsed S11 as Γ(f). UI overlays locus on the Smith chart.", "ports": 2, "s21_mag": 0.1, "s21_mag_dB": -20, "s21_ang_deg": 0, "K": 33.17166666666666, "mu": 1.9417475728155338, "delta_mag": 0.15666666666666665, "stab_unconditional": true, "stab_L_cx": 1.9861022128037058, "stab_L_cy": 0, "stab_L_r": 0.0443546399881721, "stab_S_cx": 2.9457065845206007, "stab_S_cy": 0, "stab_S_r": 0.1155179052753177, "stab_L_origin_stable": true, "stab_S_origin_stable": true, "stab_L_inside_stable": false, "stab_S_inside_stable": false, "gs_m1_cx": 0.24330251621794124, "gs_m1_cy": 0, "gs_m1_r": 0.49818443071300816, "gl_m1_cx": 0.33136164060321693, "gl_m1_cy": 0, "gl_m1_r": 0.5304681285008677, "gs_m3_cx": 0.15824987592711623, "gs_m3_cy": 0, "gs_m3_r": 0.7053675898474686, "gl_m3_cx": 0.222691129079468, "gl_m3_cy": 0, "gl_m3_r": 0.7020423892273302, "nf_p05_cx": 0.5342162827661289, "nf_p05_cy": 0, "nf_p05_r": 0.46572578842009527, "nf_p1_cx": 0.35225450603569314, "nf_p1_cy": 0, "nf_p1_r": 0.6477180279163365, "chart_x": 337.3333333333333, "chart_y": 260 }, "error_ulp": 0, "threshold_ulp": 8, "fields": { "n": { "ok": true, "error_ulp": 0 }, "Z0_ohm": { "ok": true, "error_ulp": 0 }, "f_Hz": { "ok": true, "error_ulp": 0 }, "gamma_r": { "ok": true, "error_ulp": 0 }, "gamma_i": { "ok": true, "error_ulp": 0 }, "z_r": { "ok": true, "error_ulp": 0 }, "z_i": { "ok": true, "error_ulp": 0 }, "y_r": { "ok": true, "error_ulp": 0 }, "y_i": { "ok": true, "error_ulp": 0 }, "gamma_mag": { "ok": true, "error_ulp": 0 }, "VSWR": { "ok": true, "error_ulp": 0 }, "RL_dB": { "ok": true, "error_ulp": 0 }, "points.length": { "ok": true, "error_ulp": 0 }, "points[-1].f_Hz": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_r": { "ok": true, "error_ulp": 0 }, "points[-1].gamma_i": { "ok": true, "error_ulp": 0 }, "ports": { "ok": true, "error_ulp": 0 }, "s21_mag": { "ok": true, "error_ulp": 0 }, "s21_mag_dB": { "ok": true, "error_ulp": 0 }, "s21_ang_deg": { "ok": true, "error_ulp": 0 }, "K": { "ok": true, "error_ulp": 0 }, "mu": { "ok": true, "error_ulp": 0 }, "delta_mag": { "ok": true, "error_ulp": 0 }, "stab_L_cx": { "ok": true, "error_ulp": 0 }, "stab_L_cy": { "ok": true, "error_ulp": 0 }, "stab_L_r": { "ok": true, "error_ulp": 0 }, "stab_S_cx": { "ok": true, "error_ulp": 0 }, "stab_S_cy": { "ok": true, "error_ulp": 0 }, "stab_S_r": { "ok": true, "error_ulp": 0 }, "stab_unconditional": { "ok": true, "error_ulp": 0 }, "stab_L_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_L_inside_stable": { "ok": true, "error_ulp": 0 }, "stab_S_origin_stable": { "ok": true, "error_ulp": 0 }, "stab_S_inside_stable": { "ok": true, "error_ulp": 0 }, "gs_m1_cx": { "ok": true, "error_ulp": 0 }, "gs_m1_cy": { "ok": true, "error_ulp": 0 }, "gs_m1_r": { "ok": true, "error_ulp": 0 }, "gs_m3_cx": { "ok": true, "error_ulp": 0 }, "gs_m3_cy": { "ok": true, "error_ulp": 0 }, "gs_m3_r": { "ok": true, "error_ulp": 0 }, "gl_m1_cx": { "ok": true, "error_ulp": 0 }, "gl_m1_cy": { "ok": true, "error_ulp": 0 }, "gl_m1_r": { "ok": true, "error_ulp": 0 }, "gl_m3_cx": { "ok": true, "error_ulp": 0 }, "gl_m3_cy": { "ok": true, "error_ulp": 0 }, "gl_m3_r": { "ok": true, "error_ulp": 0 }, "nf_p05_cx": { "ok": true, "error_ulp": 0 }, "nf_p05_cy": { "ok": true, "error_ulp": 0 }, "nf_p05_r": { "ok": true, "error_ulp": 0 }, "nf_p1_cx": { "ok": true, "error_ulp": 0 }, "nf_p1_cy": { "ok": true, "error_ulp": 0 }, "nf_p1_r": { "ok": true, "error_ulp": 0 }, "chart_x": { "ok": true, "error_ulp": 0 }, "chart_y": { "ok": true, "error_ulp": 0 } } }, { "id": "g-fsweep-series-L", "reference": { "mode": "match-steps", "Z0_ohm": 50, "f_Hz": 1000000000, "load_z_r": 2, "load_z_i": 0, "z_r": 2, "z_i": 0.6283185307179586, "y_r": 0.45508491882313773, "y_i": -0.14296914377342768, "gamma_r": 0.36134775556634663, "gamma_i": 0.13375901328742656, "gamma_mag": 0.3853098416709105, "gamma_angle_deg": 20.312889279925734, "VSWR": 2.2536717448618244, "RL_dB": 8.283797959953707, "span_frac": 0.1, "n_locus": 5, "locus": [ { "f_Hz": 900000000, "gamma_r": 0.35620764638131874, "gamma_i": 0.1213519997139439, "z_r": 2, "z_i": 0.5654866776461628, "chart_x": 342.640173960466, "chart_y": 231.846336066365 }, { "f_Hz": 950000000, "gamma_r": 0.3587203628320571, "gamma_i": 0.12759382847815737, "z_r": 2, "z_i": 0.5969026041820608, "chart_x": 343.2231241770372, "chart_y": 230.39823179306748 }, { "f_Hz": 1000000000, "gamma_r": 0.36134775556634663, "gamma_i": 0.13375901328742656, "z_r": 2, "z_i": 0.6283185307179586, "chart_x": 343.8326792913924, "chart_y": 228.96790891731703 }, { "f_Hz": 1050000000, "gamma_r": 0.3640867720981094, "gamma_i": 0.13984462275680062, "z_r": 2, "z_i": 0.6597344572538566, "chart_x": 344.46813112676136, "chart_y": 227.55604752042225 }, { "f_Hz": 1100000000, "gamma_r": 0.3669342713131222, "gamma_i": 0.1458478737820254, "z_r": 2, "z_i": 0.6911503837897546, "chart_x": 345.12875094464437, "chart_y": 226.16329328257012 } ], "chart_x": 343.8326792913924, "chart_y": 228.96790891731703 }, "actual": { "mode": "match-steps", "Z0_ohm": 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