Abstract

A theory is developed for computing the reverberation returning from great ranges for water depths of more than several wavelengths. The theory developed to compute long-range sound propagation is utilized. Two kinds of reverberation mechanisms are assumed. First, that the sound is scattered uniformly in all directions from the insonified reverberation surface; and, second, that the reverberation obeys Lambert's cosine law. The outgoing propagation depends on the doublet composed of the sound source and its surface image. The propagation of the returning reverberation depends upon the type of reverberation mechanism assumed. Solutions are presented for the isovelocity case and for some typical arbitrary velocity profiles. Computations indicate that the ratio of echo-to-reverberation, which is independent of the transmission losses, depends only a small amount on the velocity profile used.

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