Skip to main content

Fabry-Pérot Optical Cavity Finesse & Free Spectral Range Calculator

The Fabry-Pérot interferometer uses multi-beam interference between two parallel, highly reflective mirrors to achieve ultra-narrow optical bandpass filtering.

Calculated Result
6.00 GHz

Free Spectral Range (FSR)

Cavity Finesse (ℱ)

155.5

Resonance Linewidth (FWHM)

38.56 MHz

Cavity Q Factor (1550 nm)

5.02e+6

Calculation Breakdown

  1. FSR = c / (2·n·L)6.00 GHz
  2. ℱ = π·√R / (1 - R)155.5
  3. Δν = FSR / ℱ38.56 MHz

What Is the Fabry-Pérot Optical Cavity Finesse & Free Spectral Range Calculator?

The Fabry-Pérot interferometer uses multi-beam interference between two parallel, highly reflective mirrors to achieve ultra-narrow optical bandpass filtering.

This calculator derives Free Spectral Range (FSR) in GHz, reflection finesse ℱ, full-width at half-maximum (FWHM) linewidth, and optical cavity quality factor Q.

How Does the Fabry-Pérot Optical Cavity Finesse & Free Spectral Range Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Fabry-Pérot Optical Cavity Finesse & Free Spectral Range Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FSR = c / (2·n·L), ℱ = π·√R / (1 - R), Δν = FSR / ℱ, Q = ν_0 / Δν

Airy distribution multiple-beam interference formulas for resonant optical cavity comb filters.

How to Use the Fabry-Pérot Optical Cavity Finesse & Free Spectral Range Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

25 mm optical air cavity with 98% reflective dielectric mirrors

Input Values:

cavityLengthMm:25
mirrorPowerReflectanceR:0.98
cavityMediumRefractiveIndex:1
Worked Steps: Free Spectral Range FSR = 6.00 GHz, Cavity Finesse = 155.5, delivering an ultra-narrow 38.56 MHz spectral linewidth.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Laser Physics
  • Interferometry
  • Photonics

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

Explore more tools and calculators in Physics Calculators