title: Numerical integration schemes used on the differential theory for anisotropic gratings.
abstract: Several formulations of the differential theory for anisotropic gratings are investigated numerically. Conventional formulations and recent formulations based on Li's Fourier factorization rules are applied to a sinusoidal-profiled grating made of an anisotropic and conducting material. For both types of formulation, the numerical results of the differential and the rigorous coupled-wave methods are presented, and only the differential method based on Li's Fourier factorization rules provides a reliable convergence. Moreover, several numerical integration schemes used on the differential method are examined, and the advantage of the implicit integration schemes is shown.
authors.affiliation: Department of Information and Communication Engineering, Faculty of Information Engineering, Fukuoka Institute of Technology, Wajirohigashi, Japan. koki@fit.ac.jp
authors.forename: Koki
authors.initials: K
authors.lastname: Watanabe