Higher-Order Finite-Difference Modal Method With Interface Conditions for the Electromagnetic Analysis of Gratings

Author

Chiou, Yih-Peng ; Shen, Chi-Kai

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

30

Issue

10

fYear

2012

fDate

5/15/2012 12:00:00 AM

Firstpage

1393

Lastpage

1398

Abstract

We present a finite-difference modal method (FDMM) combined with higher-order interface conditions to analyze the diffraction of grating structures. The generalized Douglas (GD) scheme is also adopted to further enhance the convergence. Numerical results show the FDMM generally results in faster convergence than the commonly used coupled-wave analysis (RCWA) as higher-order formulation, such as the GD with five points, is adopted in both TE and TM polarizations. The FDMM is also relatively stable in a highly conductive lossless rectangular grating, while the RCWA suffers instabilities in such a frequently studied structure.

Keywords

diffraction gratings; finite difference methods; light polarisation; optical couplers; TE polarizations; TM polarizations; coupled-wave analysis; diffraction gratings; electromagnetic analysis; generalized Douglas scheme; higher-order finite-difference modal method; higher-order formulation; higher-order interface conditions; highly conductive lossless rectangular grating; Convergence; Dielectrics; Diffraction; Diffraction gratings; Gratings; Permittivity; Taylor series; Finite difference modal method (FDMM); generalized Douglas scheme; gratings; interface conditions; metallic gratings; rigorous coupled wave analysis (RCWA);

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2012.2188992

Filename

6157590