Abstract
In this work, an analytic solution is presented for the three-dimensional (3-D) problem of acoustic scattering from a nonpenetrable cylindrical island in shallow water. The ocean environment around the island is considered range independent, with arbitrary sound-speed profile, and the bottom is assumed to be rigid. The total acoustic field generated by an harmonic point source is obtained as a normal-mode, double-series expansion. A systematic numerical investigation of the double series is presented. Results concerning the pressure field and the transmission loss around the cylindrical island are given for the case of an acoustically soft and an acoustically hard island boundary in an isovelocity environment. The presented analytic solution is numerically efficient for relatively low frequencies, and can serve as a 3-D benchmark solution in the appropriate frequency range.
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