Free Spectral Range of Etalon Calculator

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Transmission Measurements

C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

✖Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Wavelength of Light [λ]			+10% -10%
✖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.ⓘ Refractive Index of Core [η_core]			+10% -10%
✖Slab Thickness is the measurement of how thick the slab of fiber is.ⓘ Slab Thickness [x]			+10% -10%

✖Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.ⓘ Free Spectral Range of Etalon [FSR]

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Formula

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Free Spectral Range of Etalon

Formula

`"FSR" = "λ"^2/(2*"η"_{"core"}*"x")`

Example

`"0.562383pm"=("1.55μm")^2/(2*"1.335"*"1.6m")`

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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*η_core*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*η_core*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 00.020 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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< 20 Transmission Measurements Calculators

Time Constant of Calorimeter

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

Go Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)

Optical Return Loss

Go Optical Return Loss = 10*log10((Output Power*Reflected Power)/(Source Power*(Power at Port 2-Power at Port 4)))

Guided Modes Number

Go Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2)

Bit Error Rate given SNR

Go Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector

Fiber Rise Time

Go Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width

Ideal Etalon Transmission

Go Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1

3dB Pulse Broadening

Go 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable)

Absorption Loss

Go Absorption Loss = (Thermal Capacity*Maximum Temperature Rise)/(Optical Power*Time Constant)

Free Spectral Range of Etalon

Go Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness)

Scattering Loss

Go Scattering Loss = ((4.343*10^5)/Fiber Length)*(Constant Output Optical Power/Output Optical Power)

Refractive Index Difference

Go Difference Refractive Index = (Fringe Displacements Number*Wavelength of Light)/Slab Thickness

Pulse Spreading Time

Go Pulse Spreading Time = Polarisation Mode Dispersion Coefficient*sqrt(Length Of Cable)

Finesse of Etalon

Go Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity)

Power Penalty

Go Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1))

Relative Attenuation

Go Relative Attenuation = 10*log10(Total Power/Spectral Power)

Bend Attenuation

Go Bend Attenuation = 10*log10(Total Power/Small Power)

Modal Rise Time

Go Modal Rise Time = (440*Length Of Cable)/Modal Dispersion Bandwidth

Optical Modulation Index

Go Modulation Index = Incident Power/Optical Power at Bias Current

Receiver Front End Rise Time

Go Received Rise Time = 350/Receiver Bandwidth

Free Spectral Range of Etalon Formula

Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness)
FSR = λ^2/(2*η_core*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 (η_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*η_core*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 (η_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.

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