Title :
Scattering of the plane waves from the layered multielements periodic grating of circular dielectric cylinders
Author :
Jandieri, Vakhtang ; Yasumoto, Kiyotoshi
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
Abstract :
The purpose of this paper is to present an accurate formulation for the two-dimensional diffraction of electromagnetic waves by the layered multielements periodic grating of the dielectric circular cylinders having different radii and geometrical locations per unit cell. In the formulation, the scattered fields are expressed in terms of the expansion into multipole and diffracted spectra. Then the addition theorem for the cylindrical functions and the projection method are used to obtain an infinite system of linear equations for the unknown coefficients of the multipole spectra. The system of equations is solved using the reduction method. The convergence and stability of the solutions are numerically tested by analyzing the dependence of the reflection coefficient on the truncation order of the scattered fields. Numerical examples for the reflection coefficient of the fundamental space harmonic are presented.
Keywords :
diffraction gratings; electromagnetic wave reflection; electromagnetic wave scattering; inhomogeneous media; numerical stability; addition theorem; circular dielectric cylinders; convergence; cylindrical functions; electromagnetic waves; fundamental space harmonic; infinite system of linear equations; layered multielements; multipole spectra; periodic grating; plane wave scattering; projection method; reduction method; reflection coefficient; scattered fields; stability; truncation order; two-dimensional diffraction; Boundary conditions; Dielectrics; Electromagnetic scattering; Engine cylinders; Equations; Gratings; Optical reflection; Optical scattering; Periodic structures; Resonance;
Conference_Titel :
Antenna Technology: Small Antennas and Novel Metamaterials, 2005. IWAT 2005. IEEE International Workshop on
Print_ISBN :
0-7803-8842-9
DOI :
10.1109/IWAT.2005.1461007