Non Linear Phase Shift Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Non Linear Parameter refers to the attenuation coefficient or attenuation rate of optical fibers.ⓘ Non Linear Parameter [γ]			+10% -10%
✖Optical Power represents the optical power of the signal as a function of distance z along the fiber.ⓘ Optical Power [P[z]]			+10% -10%
✖Length of Fiber is defined as the total length of fiber cable.ⓘ Length of Fiber [L]			+10% -10%

✖Non Linear Phase Shift is the phenomenon where the phase of an optical signal undergoes a change that is not directly proportional to the frequency (or wavelength) of the signal.ⓘ Non Linear Phase Shift [Ø_NL]

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Formula

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Non Linear Phase Shift

Formula

`"Ø"_{"NL"} = int("γ"*"P[z]",x,0,"L")`

Example

`"62.5rad"=int("5dB/m"*"10W",x,0,"1.25m")`

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Non Linear Phase Shift Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)
Ø_NL = int(γ*P[z],x,0,L)
This formula uses 1 Functions, 4 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Non Linear Phase Shift - (Measured in Radian) - Non Linear Phase Shift is the phenomenon where the phase of an optical signal undergoes a change that is not directly proportional to the frequency (or wavelength) of the signal.
Non Linear Parameter - (Measured in Decibel per Meter) - Non Linear Parameter refers to the attenuation coefficient or attenuation rate of optical fibers.
Optical Power - (Measured in Watt) - Optical Power represents the optical power of the signal as a function of distance z along the fiber.
Length of Fiber - (Measured in Meter) - Length of Fiber is defined as the total length of fiber cable.

STEP 1: Convert Input(s) to Base Unit

Non Linear Parameter: 5 Decibel per Meter --> 5 Decibel per Meter No Conversion Required
Optical Power: 10 Watt --> 10 Watt No Conversion Required
Length of Fiber: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ø_NL = int(γ*P[z],x,0,L) --> int(5*10,x,0,1.25)

Evaluating ... ...

Ø_NL = 62.5

STEP 3: Convert Result to Output's Unit

62.5 Radian --> No Conversion Required

FINAL ANSWER

62.5 Radian <-- Non Linear Phase Shift

(Calculation completed in 00.004 seconds)

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Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

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< 19 Fiber Modelling Parameters Calculators

Total Amplifier Gain for EDFA

Go Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber))

Photo Current Generated to Incident Optical Power

Go Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel)

Phase Shift of Jth Channel

Go Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal))

External Quantum Efficiency

Go External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)

Effective Interaction Length

Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss

Non Linear Phase Shift

Go Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)

Optical Dispersion

Go Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2

Diameter of Fiber

Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)

Number of Modes

Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

Power Loss in Fiber

Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)

Gaussian Pulse

Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)

Brillouin Shift

Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength

Modal Birefringence Degree

Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)

Rayleigh Scattering

Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)

Beat Length

Go Beat Length = Wavelength of Light/Modal Birefringence Degree

Group Velocity

Go Group Velocity = Length of Fiber/Group Delay

Fiber Length

Go Length of Fiber = Group Velocity*Group Delay

Fiber Attenuation Coefficient

Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

Go Number of Modes = Normalized Frequency^2/2

Non Linear Phase Shift Formula

Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)
Ø_NL = int(γ*P[z],x,0,L)

What is the significance of Non Linear Phase Shift in Self Phase Modulation(SPM)?

Nonlinear phase shift due to self-phase modulation presents challenges such as signal distortion and degradation, it also offers opportunities for spectral manipulation, pulse compression, and nonlinear signal processing in fiber optic communication systems. Proper management and utilization of SPM-induced effects are essential for maximizing the performance and efficiency of optical communication systems.

How to Calculate Non Linear Phase Shift?

Non Linear Phase Shift calculator uses Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber) to calculate the Non Linear Phase Shift, The Non Linear Phase Shift formula refers to the phenomenon where the phase of an optical signal is modulated nonlinearly as it propagates through a nonlinear medium such as an optical fiber. Non Linear Phase Shift is denoted by Ø_NL symbol.

How to calculate Non Linear Phase Shift using this online calculator? To use this online calculator for Non Linear Phase Shift, enter Non Linear Parameter (γ), Optical Power (P[z]) & Length of Fiber (L) and hit the calculate button. Here is how the Non Linear Phase Shift calculation can be explained with given input values -> 62.5 = int(5*10,x,0,1.25).

FAQ

What is Non Linear Phase Shift?

The Non Linear Phase Shift formula refers to the phenomenon where the phase of an optical signal is modulated nonlinearly as it propagates through a nonlinear medium such as an optical fiber and is represented as Ø_NL = int(γ*P[z],x,0,L) or Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber). Non Linear Parameter refers to the attenuation coefficient or attenuation rate of optical fibers, Optical Power represents the optical power of the signal as a function of distance z along the fiber & Length of Fiber is defined as the total length of fiber cable.

How to calculate Non Linear Phase Shift?

The Non Linear Phase Shift formula refers to the phenomenon where the phase of an optical signal is modulated nonlinearly as it propagates through a nonlinear medium such as an optical fiber is calculated using Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber). To calculate Non Linear Phase Shift, you need Non Linear Parameter (γ), Optical Power (P[z]) & Length of Fiber (L). With our tool, you need to enter the respective value for Non Linear Parameter, Optical Power & Length of Fiber 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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