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Plane Wave Velocity Formula

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Plane Wave Velocity implies the projection of the energy velocity onto the propagation direction. Check FAQs

V plane = \frac{ω}{β}

V_plane - Plane Wave Velocity?ω - Angular Velocity?β - Propagation Constant?

Plane Wave Velocity Example

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Here is how the Plane Wave Velocity equation looks like with Values.

Here is how the Plane Wave Velocity equation looks like with Units.

Here is how the Plane Wave Velocity equation looks like.

1E+17 = \frac{390}{3.8E-15}

1E+17m/s = \frac{390rad/s}{3.8E-15rad/m}

1E+17 = \frac{390}{3.8E-15}

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Plane Wave Velocity Solution

Follow our step by step solution on how to calculate Plane Wave Velocity?

FIRST Step Consider the formula

V plane = \frac{ω}{β}

Next Step Substitute values of Variables

∴

V plane = \frac{390rad/s}{3.8E-15rad/m}

Next Step Prepare to Evaluate

∴

V plane = \frac{390}{3.8E-15}

Next Step Evaluate

∴

V plane = 1.02631578947368E+17m/s

LAST Step Rounding Answer

∴

V plane = 1E+17m/s

Plane Wave Velocity Formula Elements

Variables

Plane Wave Velocity

Plane Wave Velocity implies the projection of the energy velocity onto the propagation direction.

Symbol: V_plane

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Plane Wave Velocity

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Propagation Constant

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.

Symbol: β

Measurement: Propagation ConstantUnit: rad/m

Note: Value should be greater than 0.

Formulas to find Propagation Constant

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 Plane Wave Velocity?

Plane Wave Velocity evaluator uses Plane Wave Velocity = Angular Velocity/Propagation Constant to evaluate 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 evaluate Plane Wave Velocity using this online evaluator? To use this online evaluator for Plane Wave Velocity, enter Angular Velocity (ω) & Propagation Constant (β) and hit the calculate button.

FAQs on Plane Wave Velocity

What is the formula to find Plane Wave Velocity?

The formula of Plane Wave Velocity is expressed as Plane Wave Velocity = Angular Velocity/Propagation Constant. Here is an example- 1E+17 = 390/3.8E-15.

How to calculate Plane Wave Velocity?

With Angular Velocity (ω) & Propagation Constant (β) we can find Plane Wave Velocity using the formula - Plane Wave Velocity = Angular Velocity/Propagation Constant.

Can the Plane Wave Velocity be negative?

No, the Plane Wave Velocity, measured in Speed cannot be negative.

Which unit is used to measure Plane Wave Velocity?

Plane Wave 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 Plane Wave Velocity can be measured.

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Plane Wave Velocity Formula

Plane Wave Velocity Example

Plane Wave Velocity Solution

Plane Wave Velocity Formula Elements

Other formulas in Fiber Design Characteristics category

How to Evaluate Plane Wave Velocity?

FAQs on Plane Wave Velocity

Variable Name