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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Chiba, Fumihiro¹ 

[1] Univ Electrocommun, Fac Electrocommun, Dept Comp Sci, Chofu, Tokyo 1828585, Japan

关键词: Scattering by a disc;    Scattering amplitude;    Scattering cross section;    Far-field coefficient;    High frequency wave problem;    Reduced wave problem in the exterior region of a disc;    Fundamental solution method;   

DOI  :  10.1016/j.cam.2009.09.003

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free