Question

Difference between equation group velocity and phase velocity

Answer 1

Phase velocity and group velocity are two very important concepts in physics. They play a vital role in fields such as wave mechanics, optics, quantum mechanics and even sound engineering.

• The group velocity is the velocity of the wave with lower frequency, but the phase velocity is the velocity of the wave with higher frequency.

Phase velocity

The resulting wave may be a perturbation that acts over a short distance, i.e. a wave packet. This wave packet can be considered to be a superposition of a number of harmonic waves, in other words a Fourier series or integral.

Group Velocity


The envelope (the green line) is given by u1 and travels at the group velocity. The carrier wave (the blue line) travels at the phase velocity and is given by u2

. The wave packet moves at the group velocity. It is the envelope which carries information. Group velocity and phase velocity are not necessarily the same

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