Scattering of Electromagnetic Waves by Multilayered Inhomogeneous Columnar Dielectric Gratings Loaded Rectangular Dielectric Constant

Ryosuke OZAKI
Tsuneki YAMASAKI
Takashi HINATA

Publication
IEICE TRANSACTIONS on Electronics   Vol.E90-C    No.2    pp.295-303
Publication Date: 2007/02/01
Online ISSN: 1745-1353
DOI: 10.1093/ietele/e90-c.2.295
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
Category: Periodic Structures
Keyword: 
multilayered dielectric grating,  inhomogeneous media,  scattering problem,  Fourier series expansion method,  multilayer method,  eigenvalue matrix method,  

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Summary: 
In this paper, we propose a new technique for the scattering problems of multilayered inhomogeneous columnar dielectric gratings loaded rectangular dielectric constant both TM and TE waves using the combination of improved Fourier series expansion method, the multilayer method, and the eigenvalue matrix method. Numerical results are given for the power transmission coefficients in the parameters ε 3 /ε 0 , c/p, and b/d of rectangular cylinders to obtain the basic characteristic of the power transmission coefficients and reflection coefficients switching or frequency selective devices for both TM and TE waves. The influence of the incident angle and frequency of the transmitted power are also discussed in the connection with the propagation constant β in the free mode.