Journal of Applied Mathematics
Volume 2012 (2012), Article ID 371729, 17 pages
http://dx.doi.org/10.1155/2012/371729
Research Article

Exact Matrix Representation of the Transverse Magnetic Multiple Scattering of Obliquely Incident Plane Waves by the Diffraction Grating of Penetrable Cylinders

Ömer Kavaklıoğlu1,2 and Roger Henry Lang1

1Division of Electromagnetics Research, Department of Electrical and Computer Engineering, School of Engineering and Applied Science, The George Washington University, Washington, DC 20052, USA
2Division of Electromagnetic Fields and Microwave Techniques, Department of Electrical and Electronics Engineering, Faculty of Engineering and Architecture, İzmir Kâtip Çelebi University, 35620 Çiğli, İzmir, Turkey

Received 5 January 2012; Revised 26 April 2012; Accepted 30 April 2012

Academic Editor: Renat Zhdanov

Copyright © 2012 Ömer Kavaklıoğlu and Roger Henry Lang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

“An exact matrix conformation model” associated with the equations describing the exact behavior of the Fourier-Bessel multiple scattering coefficients of the diffraction grating consisting of an infinite number of infinitely long parallel penetrable circular cylinders, corresponding to the obliquely incident transverse-magnetic plane waves in “Twersky-Wait-Kavaklıoğlu representation,” originally excogitated in (Kavaklıoğlu, 2000), is acquired, and the exact solution for “the Fourier-Bessel multiple scattering coefficients of the diffraction grating at oblique incidence” is obtained by a matrix inversion procedure.