MULTIPLE DIFFRACTION OF PLANE-WAVES BY A SOFT HARD STRIP


BUYUKAKSOY A., ALKUMRU A.

JOURNAL OF ENGINEERING MATHEMATICS, vol.29, no.2, pp.105-120, 1995 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 2
  • Publication Date: 1995
  • Doi Number: 10.1007/bf00051738
  • Title of Journal : JOURNAL OF ENGINEERING MATHEMATICS
  • Page Numbers: pp.105-120

Abstract

A uniform asymptotic high-frequency solution is developed for the problem of diffraction of plane waves by a strip which is soft at one side and hard on the other. The related three-part boundary value problem is formulated into a ''modified matrix Wiener-Hopf equation''. By using the known factorization of the kernel matrix through the Daniele-Khrapkov method, the modified matrix Wiener-Hopf equation is first reduced to a pair of coupled Fredholm integral equations of the second kind and then solved by iterations. An interesting feature of the present solution is that the classical Wiener-Hopf arguments yield unknown constants which can be determined by means of the edge conditions.