Propagation of beamed signals through inhomogeneous media: A diffraction theory

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Abstract
A theory, which is suitable for making estimates of the acoustic field radiating from either a completely coherent (i.e., deterministic) or a partially coherent source is derived and discussed. The theory outputs are measures of beam bending and spreading due to refraction and diffraction. For the random source problem, the theory also provides estimates of the coherence of signals received by pairs of spatially separated hydrophones. The theory is based on an approximation that may nominally be termed parabolic. The limits of validity of the various approximations are discussed and a solution algorithm, which might be classified as an extended ray-trace algorithm, is presented. A special case, in which this algorithm can be carried out analytically, is dicussed. Subject Classification: [43]30.20; [43]60.20; [43]30.35; [43]20.30.

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