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Free Spectral Range of Etalon Formula

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Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave. Check FAQs

FSR = \frac{λ^{2}}{2 \cdot η core \cdot x}

FSR - Free Spectral Range Wavelength?λ - Wavelength of Light?η_core - Refractive Index of Core?x - Slab Thickness?

Free Spectral Range of Etalon Example

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Here is how the Free Spectral Range of Etalon equation looks like with Values.

Here is how the Free Spectral Range of Etalon equation looks like with Units.

Here is how the Free Spectral Range of Etalon equation looks like.

0.5624 = \frac{{1.55}^{2}}{2 \cdot 1.335 \cdot 1.6}

0.5624pm = \frac{{1.55μm}^{2}}{2 \cdot 1.335 \cdot 1.6m}

0.5624 = \frac{{1.55}^{2}}{2 \cdot 1.335 \cdot 1.6}

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Free Spectral Range of Etalon Solution

Follow our step by step solution on how to calculate Free Spectral Range of Etalon?

FIRST Step Consider the formula

FSR = \frac{λ^{2}}{2 \cdot η core \cdot x}

Next Step Substitute values of Variables

∴

FSR = \frac{{1.55μm}^{2}}{2 \cdot 1.335 \cdot 1.6m}

Next Step Convert Units

∴

FSR = \frac{{1.6E-6m}^{2}}{2 \cdot 1.335 \cdot 1.6m}

Next Step Prepare to Evaluate

∴

FSR = \frac{{1.6E-6}^{2}}{2 \cdot 1.335 \cdot 1.6}

Next Step Evaluate

∴

FSR = 5.62382958801498E-13m

Next Step Convert to Output's Unit

∴

FSR = 0.562382958801498pm

LAST Step Rounding Answer

∴

FSR = 0.5624pm

Free Spectral Range of Etalon Formula Elements

Variables

Free Spectral Range Wavelength

Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.

Symbol: FSR

Measurement: LengthUnit: pm

Note: Value should be greater than 0.

Formulas to find Free Spectral Range Wavelength

Wavelength of Light

Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

Symbol: λ

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Wavelength of Light

Refractive Index of Core

The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.

Symbol: η_core

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Core

Slab Thickness

Slab Thickness is the measurement of how thick the slab of fiber is.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slab Thickness

Other formulas in Transmission Measurements category

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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 Free Spectral Range of Etalon?

Free Spectral Range of Etalon evaluator uses Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness) to evaluate the Free Spectral Range Wavelength, Free Spectral Range of Etalon in fiber optics is the spacing in optical frequency or wavelength between two successive reflected or transmitted optical intensity maxima or minima of an interferometer or diffractive optical element. The Free Spectral Range of an optical resonator (cavity) is the spacing of its axial (Gaussian-shaped) resonator modes in terms of optical frequency. Free Spectral Range Wavelength is denoted by FSR symbol.

How to evaluate Free Spectral Range of Etalon using this online evaluator? To use this online evaluator for Free Spectral Range of Etalon, enter Wavelength of Light (λ), Refractive Index of Core (η_core) & Slab Thickness (x) and hit the calculate button.

FAQs on Free Spectral Range of Etalon

What is the formula to find Free Spectral Range of Etalon?

The formula of Free Spectral Range of Etalon is expressed as Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness). Here is an example- 5.6E+11 = 1.55E-06^2/(2*1.335*1.6).

How to calculate Free Spectral Range of Etalon?

With Wavelength of Light (λ), Refractive Index of Core (η_core) & Slab Thickness (x) we can find Free Spectral Range of Etalon using the formula - Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness).

Can the Free Spectral Range of Etalon be negative?

No, the Free Spectral Range of Etalon, measured in Length cannot be negative.

Which unit is used to measure Free Spectral Range of Etalon?

Free Spectral Range of Etalon is usually measured using the Picometer[pm] for Length. Meter[pm], Millimeter[pm], Kilometer[pm] are the few other units in which Free Spectral Range of Etalon can be measured.

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Free Spectral Range of Etalon Formula

Free Spectral Range of Etalon Example

Free Spectral Range of Etalon Solution

Free Spectral Range of Etalon Formula Elements

Other formulas in Transmission Measurements category

How to Evaluate Free Spectral Range of Etalon?

FAQs on Free Spectral Range of Etalon

Variable Name