Suppose that instead of the form (3.2.2), we use the form which has no imaginary part, and

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Suppose that instead of the form (3.2.2), we use the form which has no imaginary part, and therefore corresponds to a real wave in the medium. Show that this implies that the scattered wave will be shifted in frequency either up or down by the frequency ω(vector)q, that is, energy can be either absorbed from or emitted into the sound waves.

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