Plane Wave Velocity Calculator

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Fiber Design Characteristics

Fiber Modelling Parameters

✖Angular Velocity is used to define how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.ⓘ Propagation Constant [β]			+10% -10%

✖Plane Wave Velocity implies the projection of the energy velocity onto the propagation direction.ⓘ Plane Wave Velocity [V_plane]

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Formula

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Plane Wave Velocity

Formula

`"V"_{"plane"} = "ω"/"β"`

Example

`"1E^17m/s"="390rad/s"/"3.8e-15rad/m"`

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Plane Wave Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plane Wave Velocity = Angular Velocity/Propagation Constant
V_plane = ω/β
This formula uses 3 Variables

Variables Used

Plane Wave Velocity - (Measured in Meter per Second) - Plane Wave Velocity implies the projection of the energy velocity onto the propagation direction.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is used to define how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Propagation Constant - (Measured in Radian per Meter) - Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 390 Radian per Second --> 390 Radian per Second No Conversion Required
Propagation Constant: 3.8E-15 Radian per Meter --> 3.8E-15 Radian per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_plane = ω/β --> 390/3.8E-15

Evaluating ... ...

V_plane = 1.02631578947368E+17

STEP 3: Convert Result to Output's Unit

1.02631578947368E+17 Meter per Second --> No Conversion Required

FINAL ANSWER

1.02631578947368E+17 ≈ 1E+17 Meter per Second <-- Plane Wave Velocity

(Calculation completed in 00.004 seconds)

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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

Plane Wave Velocity Formula

Plane Wave Velocity = Angular Velocity/Propagation Constant
V_plane = ω/β

What is Plane Wave Velocity?

In physics, a plane wave is a special case of wave or field: a physical quantity whose value, at any moment, is constant over any plane that is perpendicular to a fixed direction in space.

How to Calculate Plane Wave Velocity?

Plane Wave Velocity calculator uses Plane Wave Velocity = Angular Velocity/Propagation Constant to calculate the Plane Wave Velocity, The Plane Wave Velocity formula is defined as simply the projection of the energy velocity onto the propagation direction. Plane Wave Velocity is denoted by V_plane symbol.

How to calculate Plane Wave Velocity using this online calculator? To use this online calculator for Plane Wave Velocity, enter Angular Velocity (ω) & Propagation Constant (β) and hit the calculate button. Here is how the Plane Wave Velocity calculation can be explained with given input values -> 1E+17 = 390/3.8E-15.

FAQ

What is Plane Wave Velocity?

The Plane Wave Velocity formula is defined as simply the projection of the energy velocity onto the propagation direction and is represented as V_plane = ω/β or Plane Wave Velocity = Angular Velocity/Propagation Constant. Angular Velocity is used to define how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.

How to calculate Plane Wave Velocity?

The Plane Wave Velocity formula is defined as simply the projection of the energy velocity onto the propagation direction is calculated using Plane Wave Velocity = Angular Velocity/Propagation Constant. To calculate Plane Wave Velocity, you need Angular Velocity (ω) & Propagation Constant (β). With our tool, you need to enter the respective value for Angular Velocity & Propagation Constant 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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