MULTIPLE DIFFRACTION OF PLANE-WAVES BY A SOFT HARD STRIP


BUYUKAKSOY A., ALKUMRU A.

JOURNAL OF ENGINEERING MATHEMATICS, cilt.29, sa.2, ss.105-120, 1995 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1007/bf00051738
  • Dergi Adı: JOURNAL OF ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.105-120
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.