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Group Delay Calculator

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Fiber Design Characteristics Fiber Modelling Parameters

✖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 Delay [V_g]

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Group Delay 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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< Fiber Design Characteristics Calculators

Ray Optics Critical Angle

LaTeX Go Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1

Numerical Aperture

LaTeX Go Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))

Refractive Index of Fiber Core

LaTeX Go Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)

Refractive Index of Cladding

LaTeX Go Refractive Index of Cladding = sqrt(Refractive Index of Core^2-Numerical Aperture^2)

Group Delay Formula

LaTeX Go

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

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 V_g 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 (T_d) 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 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 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 (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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