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Physics calculator

Lens Maker Calculator

1/f = (n−1)(1/R1 − 1/R2). Runs locally in your browser.

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 2/2 declared partitions (lens, invalid-domain) · Matrix
Known limitations
  • Thin lens in air; Cartesian R signs
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
1/f = (n−1)(1/R1 − 1/R2)
Scope
Documented on page
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
1/1 property · digest 7d42de4f3880
Legacy regression
3/3 tests · Production surface contract 4/4
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass
Named expert review
Not performed
CVP suite
1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Intro physics / NIST units — standard relations
  • ISO 80000-7 / geometric optics — Lens-maker equation
Sources
Evidence
1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX electrical review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

Primary1/f = (n − 1)(1/R1 − 1/R2)
iSI units unless noted.

How to use

1

Enter known values

Leave the unknown for the API mode to solve.

2

Confirm units

Use SI units unless noted.

3

Read the result

1/f = (n−1)(1/R1 − 1/R2)

Example calculations

Common configurations with formula and result.

ϟ

Example

validation

—
n=1.5, R1=0.1 m, R2=-0.1 m → f=0.1 m

Lens Maker calculator specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09

Calculation status

Review policy · Evidence · Reviewed by CalculatorX electrical review

Definition
1/f = (n−1)(1/R1 − 1/R2)
What it calculates
1/f = (n−1)(1/R1 − 1/R2)
Inputs
  • see form
Outputs
  • see API
Formula
see formulas
Assumptions
  • Documented on page
Units
  • SI
Boundary conditions
  • coded hard errors
Example
n=1.5, R1=0.1 m, R2=-0.1 m → f=0.1 m
Validation cases

1 published on this page · 3/3 tests · Production surface contract 4/4 · View evidence

  • see suite → see suite
Sources
  • Intro physics / NIST units — standard relations
    Supports: engine formulas
  • ISO 80000-7 / geometric optics — Lens-maker equation
    Supports: 1/f = (n−1)(1/R1 − 1/R2)
Last reviewed
2026-08-09
Reviewed by
CalculatorX electrical review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

1/f = (n−1)(1/R1 − 1/R2)

Supported and not supported

Supported — API physics.optics.lens_maker

Not supported — Thick lenses, aberrations, multi-element systems

Agent / API notes

Capability id: physics.optics.lens_maker · tool id: lens-maker · pin 1.0.0.

Other calculators in this family: Snell's Law, Wavelength .

n Snell's Law › λ Wavelength ›
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Frequently asked questions

Key distinctions behind the calculation.

What does the API reject?

Hard validation errors such as missing inputs or out-of-range values.