Where can I find the derivation of the Group Velocity formula?

Thread starter PsychonautQQ
Start date Mar 30, 2014
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Formula Wave

In summary, the wave formula is a mathematical equation (y = A sin (ωt + φ)) used to describe the properties and behavior of waves. It is used to calculate various properties and predict the behavior of waves, and its variables (A, ω, t, and φ) are measured in meters, radians per second, seconds, and radians respectively. This formula is applicable to all types of waves and can be modified for different scenarios while maintaining its basic structure.

Mar 30, 2014

PsychonautQQ

I was wondering where the derivation of the formula
Group Velocity = Phase Velocity + K(dVp/dK)

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Mar 30, 2014

UltrafastPED

Science Advisor

Gold Member

The derivation is shown here: http://en.wikipedia.org/wiki/Group_velocity#Other_expressions

Related to Where can I find the derivation of the Group Velocity formula?

What is the wave formula?

The wave formula is a mathematical equation that describes the properties and behavior of a wave. It is typically written as y = A sin (ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase.

How is the wave formula used?

The wave formula is used to calculate various properties of a wave, such as its amplitude, frequency, and wavelength. It is also used to predict the behavior of a wave, including how it will interact with other waves or objects.

What are the units of measurement for the variables in the wave formula?

The amplitude (A) is measured in meters (m), the angular frequency (ω) is measured in radians per second (rad/s), time (t) is measured in seconds (s), and the phase (φ) is measured in radians (rad).

Is the wave formula applicable to all types of waves?

Yes, the wave formula is a universal equation that can be applied to all types of waves, including electromagnetic waves, sound waves, and water waves.

Can the wave formula be modified for different scenarios?

Yes, the wave formula can be modified for different scenarios, such as waves traveling through different mediums or waves with different boundary conditions. However, the basic structure of the formula remains the same.