DIRECT APPROACH TO THE PROBLEM OF DIFFRACTION BY A HALF-PLANE UNDER MIXED BOUNDARY-CONDITIONS

被引：4

作者：

CHAKRABARTI, A

机构：

[1] Department of Applied Mathematics, Indian Institute of Science, Bangalore

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1979年 / 59卷 / 06期

关键词：

D O I：

10.1002/zamm.19790590605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general direct technique of solving a mixed boundary value problem in the theory of diffraction by a semi‐infinite plane is presented. Taking account of the correct edge‐conditions, the unique solution of the problem is derived, by means of Jones' method in the theory of Wiener‐Hopf technique, in the case of incident plane wave. The solution of the half‐plane problem is found out in exact form. (The far‐field is derived by the method of steepest descent.) It is observed that it is not the Wiener‐Hopf technique which really needs any modification but a new technique is certainly required to handle the peculiar type of coupled integral equations which the Wiener‐Hopf technique leads to. Copyright © 1979 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：241 / 246

页数：6