Abstract

Recently, the chaos‐based methods have attracted much attention in ocean acoustics committee. In this paper, a set of partial differential equations (PDEs), which are based on the wide‐angle parabolic equation and Wiener‐chaos decomposition, was established to investigate the propagation of sound propagation in the ocean environment with an arbitrary sound speed profile. Simultaneously, a numerical treatment of the PDEs, which employed an implicit difference scheme and a spectral method, was developed. By using this method, three cases with different kinds of randomness under a distinct ocean environment are studied numerically.

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