Using Fourier integral theorem, obtain the expression for the velocity of a wave packet in a medium for which the dispersion relation is given as
In classical electrodynamics, wave propagation is often described by wave packets, which are superpositions of sinusoidal waves with different frequencies. The Fourier integral theorem plays a crucial role in analyzing wave packets, especially in determining the velocity of a wave packet in a medium. To derive the expression for the velocity of a wave packet using the Fourier integral theorem, we first need to understand the dispersion relation of the medium.
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