The diffraction of a whispering-gallery mode by a spherical soft-hard cap


Erdogan E.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.34, ss.1247-1258, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 11
  • Basım Tarihi: 1996
  • Doi Numarası: 10.1016/0020-7225(96)00024-9
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Sayfa Sayıları: ss.1247-1258

Özet

An asymptotic solution is obtained for the problem of the diffraction of a rotationally symmetric high-frequency scalar whispering-gallery mode by a spherical cap. The convex side of the cap is assumed to have a soft (pressure release) boundary condition while the concave side is a rigid boundary. By considering the fact that the diffraction of a high frequency wave is a local phenomenon, the problem is formulated in an extended abstract space for which the polar angle theta varies in (-infinity, infinity). This extension permits one to reduce the problem into a matrix Hilbert equation which is solved by using the Daniele-Khrapkov method of factorization. Various ray contributions are isolated and fairly simple non-uniform expressions for certain diffraction coefficients are obtained. Copyright (C) 1996 Elsevier Science Ltd