An LOD-FDTD Method for the Analysis of Periodic Structures at Normal Incidence

Author

Shibayama, Jun ; Ando, Ryoji ; Yamauchi, Junji ; Nakano, Hisamatsu

Author_Institution

Fac. of Eng., Hosei Univ., Tokyo, Japan

Volume

8

fYear

2009

fDate

7/1/1905 12:00:00 AM

Firstpage

890

Lastpage

893

Abstract

An efficient finite-difference time-domain method based on the locally one-dimensional scheme (LOD-FDTD) is developed for the analysis of periodic structures. The Sherman-Morrison formula is used to efficiently solve the cyclic matrix problem resulting from the application of the periodic boundary condition to the implicit LOD scheme. Through the analysis of a photonic band-gap (PBG) structure, numerical results are found to be identical to those of the alternating-direction implicit (ADI) counterpart. The use of dispersion control parameters enables us to use a large time-step size. As a result, the computational time is reduced to sime 50% of that of the traditional explicit FDTD while maintaining acceptable numerical results.

Keywords

finite difference time-domain analysis; photonic band gap; Sherman-Morrison formula; alternating-direction implicit; cyclic matrix problem; dispersion control parameters; finite-difference time-domain method; locally one-dimensional scheme; periodic boundary condition; periodic structures; photonic band-gap structure; Alternating-direction implicit (ADI) scheme; finite-difference time-domain (FDTD); periodic structure;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2009.2028448

Filename

5175256