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T-matrix analysis of electromagnetic wave differaction from a Fourier grating
Authors:Makoto Ohki  Haruo Sakurai and Shogo Kozaki
Institution:(1) Department of Electronic Engineering Faculty of Engineering, Gunma University, 1-5-1 Tenjin-cho, Kiryu-shi, 376 Gunma, Japan;(2) Department of Information and Computer Engineering, Gunma College of Technology, 580 Toriba-machi, Maebashi, 371 Gunma, Japan
Abstract:This paper is described for T-matrix analysis of the electromagnetic wave diffraction from a Fourier grating that the boundary value problem is treated by applying the extended boundary condition. The rigorous form of the expression of matrix elements is presented in the term of Bessel functions of the first kind. The error of power conservation versus the truncated number has been examined for mode number. Diffraction efficiencies versus groove depth and wavelength for a second or third harmonic wave of Fourier grating have been discussed. Numerical results are in good agreement with those obtained from other method and experimental values. Reasonable numerical results are presented for a groove depth per period of the Fourier grating less than 0.25.
Keywords:electromagnetic wave diffraction  Fourier grating  T-matrix method  extended boundary condition
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