LCM of two numbers

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 = \frac{L}{T d}

Example

2.5E+8 m/s = \frac{1.25 m}{5e-9 s}

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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!

< Fiber Modelling Parameters Calculators

Diameter of Fiber

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

Power Loss in Fiber

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

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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