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Finesse of Etalon Formula

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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. Check FAQs

F opt = \frac{π \cdot \sqrt{ρ}}{1 - ρ}

F_opt - Finesse?ρ - Reflectivity?π - Archimedes' constant?

Finesse of Etalon Example

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Here is how the Finesse of Etalon equation looks like with Values.

Here is how the Finesse of Etalon equation looks like with Units.

Here is how the Finesse of Etalon equation looks like.

0.6091 = \frac{3.1416 \cdot \sqrt{0.035}}{1 - 0.035}

0.6091 = \frac{3.1416 \cdot \sqrt{0.035}}{1 - 0.035}

0.6091 = \frac{3.1416 \cdot \sqrt{0.035}}{1 - 0.035}

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Finesse of Etalon Solution

Follow our step by step solution on how to calculate Finesse of Etalon?

FIRST Step Consider the formula

F opt = \frac{π \cdot \sqrt{ρ}}{1 - ρ}

Next Step Substitute values of Variables

∴

F opt = \frac{π \cdot \sqrt{0.035}}{1 - 0.035}

Next Step Substitute values of Constants

∴

F opt = \frac{3.1416 \cdot \sqrt{0.035}}{1 - 0.035}

Next Step Prepare to Evaluate

∴

F opt = \frac{3.1416 \cdot \sqrt{0.035}}{1 - 0.035}

Next Step Evaluate

∴

F opt = 0.609055096297357

LAST Step Rounding Answer

∴

F opt = 0.6091

Finesse of Etalon Formula Elements

Variables

Constants

Functions

Finesse

The finesse of an optical resonator is a measure for how narrow the resonances are in relation to their frequency distance.

Symbol: F_opt

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Finesse

Reflectivity

Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.

Symbol: ρ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reflectivity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Transmission Measurements category

Go Optical Attenuation

α dB = \frac{10}{L 1 - L 2} \cdot \log 10 (\frac{V 2}{V 1})

Go Absorption Loss

α abs = \frac{C \cdot T ∞}{P opt \cdot t c}

Go Time Constant of Calorimeter

t c = \frac{t 2 - t 1}{\ln (T ∞ - T t1) - \ln (T ∞ - T t2)}

Go Scattering Loss

α sc = (\frac{4.343 \cdot 10^{5}}{l}) \cdot (\frac{V sc}{V opt})

How to Evaluate Finesse of Etalon?

Finesse of Etalon evaluator uses Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity) to evaluate 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 evaluate Finesse of Etalon using this online evaluator? To use this online evaluator for Finesse of Etalon, enter Reflectivity (ρ) and hit the calculate button.

FAQs on Finesse of Etalon

What is the formula to find Finesse of Etalon?

The formula of Finesse of Etalon is expressed as Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity). Here is an example- 0.618335 = (pi*sqrt(0.035))/(1-0.035).

How to calculate Finesse of Etalon?

With Reflectivity (ρ) we can find Finesse of Etalon using the formula - Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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