Vectorial diffraction analysis of periodic dielectric gratings using a transmission matrix

Author

Griese, Elmar

Author_Institution

Siemens Nixdorf Informationssyst. AG, Paderborn, Germany

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3204

Lastpage

3207

Abstract

A numerical method has been developed for the solution of the vectorial diffraction problem of an homogeneous plane wave of arbitrary incidence by an infinite dielectric grating. The method is based on the Coupled Wave Theory. After discretization of the grating by division into planar layers, the transmission matrix of each layer is calculated with a Pade approximation. The overall transmission behaviour is given by a product series of all the single-layer transmission matrices. It is shown that a special arrangement of the state variables leads to the same structure of the system matrix as the one obtained in the case of scalar diffraction problems. Therefore, the same numerical algorithms for computing the matrix exponential may be used

Keywords

electromagnetic wave diffraction; matrix algebra; numerical analysis; Pade approximation; coupled wave theory; homogeneous plane wave; infinite dielectric grating; matrix exponential computation; numerical method; periodic dielectric gratings; single-layer transmission matrices; state variables; transmission matrix; vectorial diffraction analysis; Dielectrics; Diffraction gratings; Electromagnetic diffraction; Fourier series; Maxwell equations; Optical diffraction; Optical surface waves; Permittivity; Systems engineering and theory; Transmission line matrix methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312619

Filename

312619