The inverse problem considered is to determine the shape of an acoustically soft obstacle in R 3 from a knowledge of the time-harmonic incident plane wave and the far-field pattern of the scattered wave. To solve this inverse Dirichlet problem in acoustic scattering without requiring the solution of integral equations, a parametric representation is introduced in which the parameters are determined by a method of optimization. Direct scattering can also be handled by this technique. Comparisons reveal that results are obtained more easily than, and just as accurately as, in other methods.
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Jones et al. (1990) studied this question.
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