Group Delay Solution

STEP 0: Pre-Calculation Summary
Formula Used
Group Velocity = Length of Fiber/Group Delay
Vg = L/Td
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
Vg = L/Td --> 1.25/5E-09
Evaluating ... ...
Vg = 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)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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12 Fiber Design Characteristics Calculators

Normalised Propagation Constant
Go Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)
Delta Parameter
Go Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)
Ray Optics Critical Angle
Go Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1
Numerical Aperture
Go Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))
Refractive Index of Fiber Core
Go Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)
Refractive Index of Cladding
Go Refractive Index of Cladding = sqrt(Refractive Index of Core^2-Numerical Aperture^2)
Optical Pulse Duration
Go Optical Pulse Duration = Length of Fiber*Optical Fiber Dispersion*Gaussian Pulse
Graded Index Length of Fiber
Go Grade Index Fiber = Length of Fiber*Refractive Index of Core
Plane Wave Velocity
Go Plane Wave Velocity = Angular Velocity/Propagation Constant
Phase Velocity in Optic Fiber
Go Phase Velocity = [c]/Effective Index of Mode
Normalized Frequency
Go Normalized Frequency = sqrt(2*Number of Modes)
Group Delay
Go Group Velocity = Length of Fiber/Group Delay

Group Delay Formula

Group Velocity = Length of Fiber/Group Delay
Vg = L/Td

What is the significance of Group Delay?

Engineers and researchers use "Group Delay" to understand how a system affects different frequency components of a signal. It is particularly relevant in fields such as telecommunications, audio signal processing, and optical communications.

How to Calculate Group Delay?

Group Delay calculator uses Group Velocity = Length of Fiber/Group Delay to calculate the Group Velocity, The Group Delay formula is defined as the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space. Group Velocity is denoted by Vg symbol.

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

FAQ

What is Group Delay?
The Group Delay formula is defined as the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space and is represented as Vg = L/Td 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 Delay?
The Group Delay formula is defined as the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space is calculated using Group Velocity = Length of Fiber/Group Delay. To calculate Group Delay, you need Length of Fiber (L) & Group Delay (Td). 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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