Free Spectral Range of Etalon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness)
FSR = λ^2/(2*ηcore*x)
This formula uses 4 Variables
Variables Used
Free Spectral Range Wavelength - (Measured in Meter) - Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
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.
Slab Thickness - (Measured in Meter) - Slab Thickness is the measurement of how thick the slab of fiber is.
STEP 1: Convert Input(s) to Base Unit
Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion ​here)
Refractive Index of Core: 1.335 --> No Conversion Required
Slab Thickness: 1.6 Meter --> 1.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FSR = λ^2/(2*ηcore*x) --> 1.55E-06^2/(2*1.335*1.6)
Evaluating ... ...
FSR = 5.62382958801498E-13
STEP 3: Convert Result to Output's Unit
5.62382958801498E-13 Meter -->0.562382958801498 Picometer (Check conversion ​here)
FINAL ANSWER
0.562382958801498 0.562383 Picometer <-- Free Spectral Range Wavelength
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Vaidehi Singh
Prabhat Engineering College (P.E.C.), Uttar Pradesh
Vaidehi Singh has created this Calculator and 25+ more calculators!
Verifier Image
Verified by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has verified this Calculator and 50+ more calculators!

Transmission Measurements Calculators

Time Constant of Calorimeter
​ LaTeX ​ Go Time Constant = (Time Instance 2-Time Instance 1)/(ln(Maximum Temperature Rise-Temperature At Time t1)-ln(Maximum Temperature Rise-Temperature At Time t2))
Optical Attenuation
​ LaTeX ​ Go Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)
Absorption Loss
​ LaTeX ​ Go Absorption Loss = (Thermal Capacity*Maximum Temperature Rise)/(Optical Power*Time Constant)
Scattering Loss
​ LaTeX ​ Go Scattering Loss = ((4.343*10^5)/Fiber Length)*(Constant Output Optical Power/Output Optical Power)

Free Spectral Range of Etalon Formula

​LaTeX ​Go
Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness)
FSR = λ^2/(2*ηcore*x)

What is the significance of Free Spectral Range?

The FSR often limits the optical frequency range in which an optical resonator can be used as a spectrometer. A large FSR can be desirable as it allows for a larger bandwidth of the resonances, thus leading to better spectral resolution. For a wavelength-tunable single-frequency laser, the FSR often (but not always) limits the achievable mode-hop-free tuning range.

How to Calculate Free Spectral Range of Etalon?

Free Spectral Range of Etalon calculator uses Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness) to calculate 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 calculate Free Spectral Range of Etalon using this online calculator? To use this online calculator for Free Spectral Range of Etalon, enter Wavelength of Light (λ), Refractive Index of Core core) & Slab Thickness (x) and hit the calculate button. Here is how the Free Spectral Range of Etalon calculation can be explained with given input values -> 5.6E+11 = 1.55E-06^2/(2*1.335*1.6).

FAQ

What is Free Spectral Range of Etalon?
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 and is represented as FSR = λ^2/(2*ηcore*x) or Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness). Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum, 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 & Slab Thickness is the measurement of how thick the slab of fiber is.
How to calculate Free Spectral Range of Etalon?
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 is calculated using Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness). To calculate Free Spectral Range of Etalon, you need Wavelength of Light (λ), Refractive Index of Core core) & Slab Thickness (x). With our tool, you need to enter the respective value for Wavelength of Light, Refractive Index of Core & Slab Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!