Computation of the scattering amplitude for a scattering wave produced by a disc - Approach by a fundamental solution method

Authors:
Fumihiro Chiba;Teruo Ushijima
Affiliations:
Department of Computer Science, Faculty of Electro-Communications, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan;The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

Our fundamental solution method gives an analytic representation of the approximate solution for the reduced wave problem in the exterior region of a disc. The asymptotic behavior of this representation yields an approximate formula for the scattering amplitude. An error estimate for this formula is given. We add two numerical tests: the numerical estimate of errors; and profiles of scattering cross sections and the far-field coefficient. Both tests include cases of high wave numbers.