Line source and point source scattering of acoustic waves by the junction of transmissive and soft-hard half planes

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:346

Article

Ayub, M.¹  Mann, A. B.¹  Ahmad, M.² 

[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[2] Univ Sargodha, Dept Math, Sargodha, Pakistan

关键词: scattering;    line source;    point source;    Wiener-Hopf technique;    Kharapkov method;    steepest descent method;    far field approximation;   

DOI  :  10.1016/j.jmaa.2008.04.069

来源: Elsevier

【 摘 要 】

Firstly, the analysis of [A. Buyukaksoy, G. Cinar, A.H. Serbest, Scattering of plane waves by the junction of transmissive and soft-hard half planes, ZAMP 55 (2004) 483-499] for the scattering of plane waves by the junction of transmissive and soft-hard half planes is extended to the case of a line source. The introduction of the line source changes the incident field and the method of solution requires a careful analysis in calculating the scattered field. The graphical results are presented using MATHEMATICA. We observe that the graphs of the plane wave situation [A. Buyukaksoy, G. Cinar, A.H. Serbest, Scattering of plane waves by the junction of transmissive and soft-hard half planes, ZAMP 55 (2004) 483-499] can be recovered by shifting the line source to a large distance. Subsequently, the problem is further extended to the case of scattering due to a point source using the results obtained for a line source excitation. The introduction of a point source (three dimensions) involves another variable which then requires the calculation of an additional integral appearing in the inverse transform. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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