Single Pass Phase Shift through Fabry-Perot Amplifier Calculator

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✖Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.ⓘ Frequency Of Incident Light [f]			+10% -10%
✖Fabry–Perot resonant frequency is the frequency of a Fabry-Perot resonator. At these frequencies, light exhibits constructive interference after one round trip.ⓘ Fabry–Perot Resonant Frequency [f_o]			+10% -10%
✖Free Spectral Range of Fabry-Pérot Interferometer is the spacing in optical frequency or wavelength between two successive maxima or minima in the optical wave.ⓘ Free Spectral Range of Fabry-Pérot Interferometer [δf]			+10% -10%

✖The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.ⓘ Single Pass Phase Shift through Fabry-Perot Amplifier [Φ]

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Formula

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Single Pass Phase Shift through Fabry-Perot Amplifier

Formula

`"Φ" = (pi*("f"-"f"_{"o"}))/"δf"`

Example

`"45.31143rad"=(pi*("20Hz"-"12.5Hz"))/"0.52Hz"`

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Single Pass Phase Shift through Fabry-Perot Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer
Φ = (pi*(f-f_o))/δf
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Single-Pass Phase Shift - (Measured in Radian) - The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.
Frequency Of Incident Light - (Measured in Hertz) - Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.
Fabry–Perot Resonant Frequency - (Measured in Hertz) - Fabry–Perot resonant frequency is the frequency of a Fabry-Perot resonator. At these frequencies, light exhibits constructive interference after one round trip.
Free Spectral Range of Fabry-Pérot Interferometer - (Measured in Hertz) - Free Spectral Range of Fabry-Pérot Interferometer is the spacing in optical frequency or wavelength between two successive maxima or minima in the optical wave.

STEP 1: Convert Input(s) to Base Unit

Frequency Of Incident Light: 20 Hertz --> 20 Hertz No Conversion Required
Fabry–Perot Resonant Frequency: 12.5 Hertz --> 12.5 Hertz No Conversion Required
Free Spectral Range of Fabry-Pérot Interferometer: 0.52 Hertz --> 0.52 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = (pi*(f-f_o))/δf --> (pi*(20-12.5))/0.52

Evaluating ... ...

Φ = 45.3114325036989

STEP 3: Convert Result to Output's Unit

45.3114325036989 Radian --> No Conversion Required

FINAL ANSWER

45.3114325036989 ≈ 45.31143 Radian <-- Single-Pass Phase Shift

(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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Chandigarh University (CU), Punjab

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< 25 Optical Detectors Calculators

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Go Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance)))

Photocurrent due to Incident Light

Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))

Probability of Detecting Photons

Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)

Excess Avalanche Noise Factor

Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)

Total Photodiode Current

Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent

Optical Gain of Phototransistors

Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)

Average Number of Photons Detected

Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])

Single Pass Phase Shift through Fabry-Perot Amplifier

Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer

Total Root Mean Square Noise Current

Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)

Average Received Optical Power

Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)

Total Power Accepted by Fiber

Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))

Multiplied Photocurrent

Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power

Temperature Effect on Dark Current

Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Maximum Photodiode 3 dB Bandwidth

Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)

Maximum 3dB Bandwidth of Metal Photodetector

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

Bandwidth Penalty

Go Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Multiplication Factor

Go Multiplication Factor = Output Current/Initial Photocurrent

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Transit Time with respect to Minority Carrier Diffusion

Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)

Longest Transit Time

Go Transit Time = Depletion Layer Width/Drift Velocity

3 dB Bandwidth of Metal Photodetectors

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)

Detectivity of Photodetector

Go Detectivity = 1/Noise Equivalent Power

Single Pass Phase Shift through Fabry-Perot Amplifier Formula

Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer
Φ = (pi*(f-f_o))/δf

What is Fabre-Pèrot Amplifier?

A Fabry-Pérot Amplifier, also known as a Fabry-Pérot interferometer or etalon, is an optical cavity made from two parallel reflecting surfaces. These surfaces are often thin mirrors. Optical waves can pass through the optical cavity only when they are in resonance with it.

How to Calculate Single Pass Phase Shift through Fabry-Perot Amplifier?

Single Pass Phase Shift through Fabry-Perot Amplifier calculator uses Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer to calculate the Single-Pass Phase Shift, Single Pass Phase Shift through Fabry-Perot Amplifier is caused when the incident ray travels through the medium. This introduces a phase shift per unit length equal to the wavenumber. A Fabry-Perot Amplifier is a type of optical resonator that consists of two mirrors separated by a certain distance, containing an active medium with a refractive index. Single-Pass Phase Shift is denoted by Φ symbol.

How to calculate Single Pass Phase Shift through Fabry-Perot Amplifier using this online calculator? To use this online calculator for Single Pass Phase Shift through Fabry-Perot Amplifier, enter Frequency Of Incident Light (f), Fabry–Perot Resonant Frequency (f_o) & Free Spectral Range of Fabry-Pérot Interferometer (δf) and hit the calculate button. Here is how the Single Pass Phase Shift through Fabry-Perot Amplifier calculation can be explained with given input values -> 45.31143 = (pi*(20-12.5))/0.52.

FAQ

What is Single Pass Phase Shift through Fabry-Perot Amplifier?

Single Pass Phase Shift through Fabry-Perot Amplifier is caused when the incident ray travels through the medium. This introduces a phase shift per unit length equal to the wavenumber. A Fabry-Perot Amplifier is a type of optical resonator that consists of two mirrors separated by a certain distance, containing an active medium with a refractive index and is represented as Φ = (pi*(f-f_o))/δf or Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer. Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second, Fabry–Perot resonant frequency is the frequency of a Fabry-Perot resonator. At these frequencies, light exhibits constructive interference after one round trip & Free Spectral Range of Fabry-Pérot Interferometer is the spacing in optical frequency or wavelength between two successive maxima or minima in the optical wave.

How to calculate Single Pass Phase Shift through Fabry-Perot Amplifier?

Single Pass Phase Shift through Fabry-Perot Amplifier is caused when the incident ray travels through the medium. This introduces a phase shift per unit length equal to the wavenumber. A Fabry-Perot Amplifier is a type of optical resonator that consists of two mirrors separated by a certain distance, containing an active medium with a refractive index is calculated using Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer. To calculate Single Pass Phase Shift through Fabry-Perot Amplifier, you need Frequency Of Incident Light (f), Fabry–Perot Resonant Frequency (f_o) & Free Spectral Range of Fabry-Pérot Interferometer (δf). With our tool, you need to enter the respective value for Frequency Of Incident Light, Fabry–Perot Resonant Frequency & Free Spectral Range of Fabry-Pérot Interferometer 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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