Wavelength Calculator
Compute λ = c·VF/f in vacuum or dielectric. Solve for wavelength or frequency. Runs locally in your browser.
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 (lambda, invalid-domain) · Matrix
- Known limitations
- Uniform medium; free-space c pinned
- Core CVP does not include live graph, viewport, or pointer interaction.
- Model
- Wavelength or frequency with VF/εr.
- Scope
- Non-dispersive; TEM/free-space phase velocity
- 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 64eac423f7c6
- Legacy regression
- 3/3 tests · Production surface contract 3/3
- Reference
- O1 model · O2 expected_values · O2 numerical_behavior
- Interfaces
- PASS · UI (SSR) / REST / MCP
- 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
- Pozar Microwave Engineering
- ITU-R / SI speed of light
- Evidence
- 1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX physics/RF review
- Semantic contract
- PASS
Full verification
Formulas
Core equations used by this calculator.
How to use
Choose solve for wavelength or frequency
λ ↔ f with optional velocity factor / εr.
Enter f or λ
The known value must be greater than zero.
Optional: set VF or εr
λ = c·VF / f. For dielectrics, VF ≈ 1/√εr when that mode is used.
Example calculations
Common configurations with formula and result.
1 GHz vacuum
free space
Wavelength calculator specification
Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09
- Engine tested 3/3 tests · Production surface contract 3/3
- Supplemental domain review Internal · Pass · 2026-08-09
- Named expert review Not performed
- Calculation version 1.0.0
Review policy · Evidence · Reviewed by CalculatorX physics/RF review
- Definition
- λ = c·VF/f with VF = 1/√εr when relative permittivity is given (default VF=1).
- What it calculates
- Wavelength or frequency with VF/εr.
- Inputs
- mode lambda|freq
- f_Hz|lambda_m
- VF|er?
- Outputs
- lambda_m
- f_Hz
- VF
- Formula
λ=c·VF/f- Assumptions
- Non-dispersive; TEM/free-space phase velocity
- Units
- Hz, m
- Boundary conditions
- f≤0 or λ≤0 → VALUE_MUST_BE_POSITIVE
- VF>1 → VALUE_OUT_OF_RANGE
- Example
- f=1e9 → λ≈0.2998 m
- Validation cases
1 published on this page · 3/3 tests · Production surface contract 3/3 · View evidence
- lambda f_Hz=1e9 → lambda_m=0.299792458
- Sources
- Pozar Microwave Engineering — phase velocity / wavelengthSupports: λ = v/f
- ITU-R / SI speed of light — c = 299792458 m/sSupports: Pinned free-space phase velocity
- Pozar Microwave Engineering — phase velocity / wavelength
- Last reviewed
- 2026-08-09
- Reviewed by
- CalculatorX physics/RF review
- Calculation version
- 1.0.0
Background
Interpretation and common distinctions.
Compute RF wavelength in vacuum or dielectric.
Supported and not supported
Supported — Solve λ or f · VF or εr · API electrical.rf.wavelength
Not supported — Waveguide cutoff, dispersive media, plasma frequency
Agent / API notes
Capability id: electrical.rf.wavelength · tool id: wavelength · pin 1.0.0.
Related tools
Other calculators in this family: Antenna Length, Coax Impedance .
Frequently asked questions
Key distinctions behind the calculation.
How is this different from antenna length?
This solves free-space / media wavelength. Antenna length applies λ/2, λ/4 factors and element geometry.