Finesse of Etalon Calculator

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✖Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.ⓘ Reflectivity [ρ]

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✖The finesse of an optical resonator is a measure for how narrow the resonances are in relation to their frequency distance.ⓘ Finesse of Etalon [F_opt]

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Formula

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Finesse of Etalon

Formula

`"F"_{"opt"} = (pi*sqrt("ρ"))/(1-"ρ")`

Example

`"0.609055"=(pi*sqrt("0.035"))/(1-"0.035")`

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Finesse of Etalon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity)
F_opt = (pi*sqrt(ρ))/(1-ρ)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Finesse - The finesse of an optical resonator is a measure for how narrow the resonances are in relation to their frequency distance.
Reflectivity - Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.

STEP 1: Convert Input(s) to Base Unit

Reflectivity: 0.035 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_opt = (pi*sqrt(ρ))/(1-ρ) --> (pi*sqrt(0.035))/(1-0.035)

Evaluating ... ...

F_opt = 0.609055096297357

STEP 3: Convert Result to Output's Unit

0.609055096297357 --> No Conversion Required

FINAL ANSWER

0.609055096297357 ≈ 0.609055 <-- Finesse

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

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Dayananda Sagar College Of Engineering (DSCE), Banglore

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Finesse of Etalon Formula

Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity)
F_opt = (pi*sqrt(ρ))/(1-ρ)

What is the significance of finesse?

Finesse is fully determined by the resonator losses and is independent of the resonator length. It can be specified not only for Fabry–Pérot interferometers, but also for other types of optical resonators, and is often used in the context of resonators with sharp resonances, as used e.g. in optical frequency standards. Etalon is also known as Fabry-Perot Interferometer and Thin-Film Resonant Cavity Filter

How to Calculate Finesse of Etalon?

Finesse of Etalon calculator uses Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity) to calculate the Finesse, The finesse of Etalon is a measure of how narrow the resonances are in relation to their frequency distance1. A high finesse means sharp resonance. It is defined as the free spectral range (i.e., the fundamental mode spacing) divided by the full width at the half-maximum (FWHM) bandwidth of the resonances. Finesse is denoted by F_opt symbol.

How to calculate Finesse of Etalon using this online calculator? To use this online calculator for Finesse of Etalon, enter Reflectivity (ρ) and hit the calculate button. Here is how the Finesse of Etalon calculation can be explained with given input values -> 0.618335 = (pi*sqrt(0.035))/(1-0.035).

FAQ

What is Finesse of Etalon?

The finesse of Etalon is a measure of how narrow the resonances are in relation to their frequency distance1. A high finesse means sharp resonance. It is defined as the free spectral range (i.e., the fundamental mode spacing) divided by the full width at the half-maximum (FWHM) bandwidth of the resonances and is represented as F_opt = (pi*sqrt(ρ))/(1-ρ) or Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity). Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.

How to calculate Finesse of Etalon?

The finesse of Etalon is a measure of how narrow the resonances are in relation to their frequency distance1. A high finesse means sharp resonance. It is defined as the free spectral range (i.e., the fundamental mode spacing) divided by the full width at the half-maximum (FWHM) bandwidth of the resonances is calculated using Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity). To calculate Finesse of Etalon, you need Reflectivity (ρ). With our tool, you need to enter the respective value for Reflectivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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