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Group and Phase Velocity

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The group velocity is the speed of the overall shape of a modulated wave (called the envelope). This is defined by (chosen here to equal 1), where is the angular velocity and is the wave number. The phase velocity of a wave is the speed at which a given phase of a wave travels through space, equal to .

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

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The wave shown here is a sum of two waves that differ by a small phase (called a beat) of the form .

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