Group Velocity Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Length of Fiber is defined as the total length of fiber cable.ⓘ Length of Fiber [L]			+10% -10%
✖Group delay is a measurement of the time taken by the modulated signal to get through the system.ⓘ Group Delay [T_d]			+10% -10%

✖Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.ⓘ Group Velocity [V_g]

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Formula

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Group Velocity

Formula

`"V"_{"g"} = "L"/"T"_{"d"}`

Example

`"2.5E^8m/s"="1.25m"/"5e-9s"`

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Group Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Velocity = Length of Fiber/Group Delay
V_g = L/T_d
This formula uses 3 Variables

Variables Used

Group Velocity - (Measured in Meter per Second) - Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.
Length of Fiber - (Measured in Meter) - Length of Fiber is defined as the total length of fiber cable.
Group Delay - (Measured in Second) - Group delay is a measurement of the time taken by the modulated signal to get through the system.

STEP 1: Convert Input(s) to Base Unit

Length of Fiber: 1.25 Meter --> 1.25 Meter No Conversion Required
Group Delay: 5E-09 Second --> 5E-09 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_g = L/T_d --> 1.25/5E-09

Evaluating ... ...

V_g = 250000000

STEP 3: Convert Result to Output's Unit

250000000 Meter per Second --> No Conversion Required

FINAL ANSWER

250000000 ≈ 2.5E+8 Meter per Second <-- Group Velocity

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Group Velocity Formula

Group Velocity = Length of Fiber/Group Delay
V_g = L/T_d

What is Group Velocity Dispersion (GVD)?

This is the dispersion that affects the temporal shape of an optical pulse as it travels through the fiber. If different spectral components of the pulse experience different group velocities, the pulse can broaden or compress. GVD can be either normal (positive) or anomalous (negative), depending on the characteristics of the fiber and the wavelength of the light.

How to Calculate Group Velocity?

Group Velocity calculator uses Group Velocity = Length of Fiber/Group Delay to calculate the Group Velocity, Group Velocity refers to the velocity at which the envelope of an optical signal or pulse travels through an optical fiber. The group velocity can be different from the phase velocity, which represents the speed of individual light waves or electromagnetic waves within the fiber. Group Velocity is denoted by V_g symbol.

How to calculate Group Velocity using this online calculator? To use this online calculator for Group Velocity, enter Length of Fiber (L) & Group Delay (T_d) and hit the calculate button. Here is how the Group Velocity calculation can be explained with given input values -> 2.5E+8 = 1.25/5E-09.

FAQ

What is Group Velocity?

Group Velocity refers to the velocity at which the envelope of an optical signal or pulse travels through an optical fiber. The group velocity can be different from the phase velocity, which represents the speed of individual light waves or electromagnetic waves within the fiber and is represented as V_g = L/T_d or Group Velocity = Length of Fiber/Group Delay. Length of Fiber is defined as the total length of fiber cable & Group delay is a measurement of the time taken by the modulated signal to get through the system.

How to calculate Group Velocity?

Group Velocity refers to the velocity at which the envelope of an optical signal or pulse travels through an optical fiber. The group velocity can be different from the phase velocity, which represents the speed of individual light waves or electromagnetic waves within the fiber is calculated using Group Velocity = Length of Fiber/Group Delay. To calculate Group Velocity, you need Length of Fiber (L) & Group Delay (T_d). With our tool, you need to enter the respective value for Length of Fiber & Group Delay 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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