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Group Velocity 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 Velocity Example

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With units

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

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

Here is how the Group Velocity 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 Velocity Solution

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

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 Velocity 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 Modelling Parameters category

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

How to Evaluate Group Velocity?

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

FAQs on Group Velocity

What is the formula to find Group Velocity?

The formula of Group Velocity 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 Velocity?

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

Can the Group Velocity be negative?

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

Which unit is used to measure Group Velocity?

Group Velocity 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 Velocity can be measured.

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