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Group Delay Formula

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Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation. Check FAQs

V g = \frac{L}{T d}

V_g - Group Velocity?L - Length of Fiber?T_d - Group Delay?

Group Delay Example

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With units

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Here is how the Group Delay equation looks like with Values.

Here is how the Group Delay equation looks like with Units.

Here is how the Group Delay equation looks like.

2.5E+8 = \frac{1.25}{5E-9}

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

2.5E+8 = \frac{1.25}{5E-9}

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Group Delay Solution

Follow our step by step solution on how to calculate Group Delay?

FIRST Step Consider the formula

V g = \frac{L}{T d}

Next Step Substitute values of Variables

∴

V g = \frac{1.25m}{5E-9s}

Next Step Prepare to Evaluate

∴

V g = \frac{1.25}{5E-9}

Next Step Evaluate

∴

V g = 250000000m/s

LAST Step Rounding Answer

∴

V g = 2.5E+8m/s

Group Delay Formula Elements

Variables

Group Velocity

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

Symbol: V_g

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Group Velocity

Length of Fiber

Length of Fiber is defined as the total length of fiber cable.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fiber

Group Delay

Group delay is a measurement of the time taken by the modulated signal to get through the system.

Symbol: T_d

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Group Delay

Other formulas in Fiber Design Characteristics category

Go Numerical Aperture

NA = \sqrt{({η core}^{2}) - ({η clad}^{2})}

Go Refractive Index of Fiber Core

η core = \sqrt{{NA}^{2} + {η clad}^{2}}

Go Refractive Index of Cladding

η clad = \sqrt{{η core}^{2} - {NA}^{2}}

Go Ray Optics Critical Angle

θ = {\sin (\frac{η r}{η i})}^{- 1}

How to Evaluate Group Delay?

Group Delay evaluator uses Group Velocity = Length of Fiber/Group Delay to evaluate 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 evaluate Group Delay using this online evaluator? To use this online evaluator for Group Delay, enter Length of Fiber (L) & Group Delay (T_d) and hit the calculate button.

FAQs on Group Delay

What is the formula to find Group Delay?

The formula of Group Delay is expressed as Group Velocity = Length of Fiber/Group Delay. Here is an example- 2.5E+8 = 1.25/5E-09.

How to calculate Group Delay?

With Length of Fiber (L) & Group Delay (T_d) we can find Group Delay using the formula - Group Velocity = Length of Fiber/Group Delay.

Can the Group Delay be negative?

No, the Group Delay, measured in Speed cannot be negative.

Which unit is used to measure Group Delay?

Group Delay is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Group Delay can be measured.

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