Low Frequency Scattering by Spheroids and Disks 1. Dirichlet Problem for a Prolate Spheroid

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Abstract
The problem of scattering of a scalar plane wave by a prolate spheroid of revolution is solved for Dirichlet boundary condition, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained by using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived.

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