IJPAM: Volume 61, No. 2 (2010)
AN ELECTROMAGNETIC WAVE ON A STRIP
AND AN ELASTIC WAVE ON A DEFECT
Department of Mathematics
Faculty of Science
Assiut University
Assiut, 71516, EGYPT
e-mail: a_maher69@yahoo.com
Abstract.In this paper, diffraction problems of the harmonious TE-wave on
an ideally conductive infinitely thin metallic strip, placed on
the media interface of two homogeneous isotropic dielectric media
are considered. Also, diffraction problems for an elastic
harmonious wave on a defect in the form of a split or a thin
inclusion, disposed on the media interface of two homogeneous
isotropic elastic media, in the case of the two-dimensional field,
are considered. The formulations and solution of these problems
are given in comparison. It is shown that diffraction problems are
similar, in which the quantity of the types of waves spread in the
medium, coincides.
Received: March 30, 2010
AMS Subject Classification: 35J, 35Q
Key Words and Phrases: linear conjugation conditions for partial differential equations, diffraction problems
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 2