An ADI-FDTD method for periodic structures

Author

Wang, Shumin ; Chen, Ji ; Ruchhoeft, Paul

Author_Institution

Kelly Sci. Inc., Bethesda, MD, USA

Volume

53

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

2343

Lastpage

2346

Abstract

In this communication, the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method is extended to analyze periodic structures. In the implicit updates of the ADI-FDTD method, the periodic boundary condition leads to a cyclic matrix. Instead of inverting the cyclic matrix directly, the problem is converted into two auxiliary linear systems that can be solved using the tridiagonal matrix solver. Consequently, only 7n arithmetic operations are required for each implicit update and the efficiency of the ADI-FDTD method is retained. Numerical examples further demonstrate the effectiveness of this periodic ADI-FDTD method.

Keywords

electromagnetic wave propagation; finite difference time-domain analysis; linear systems; matrix algebra; periodic structures; ADI-FDTD method; alternating-direction implicit finite-difference time-domain; arithmetic operation; auxiliary linear system; cyclic matrix; periodic structure; tridiagonal matrix solver; Arithmetic; Electromagnetics; Equations; Filters; Finite difference methods; Linear systems; Matrix converters; Periodic structures; Sparse matrices; Time domain analysis; Alternating-direction implicit finite-difference time-domain (ADI-FDTD) method; periodic structure;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2005.850763

Filename

1461566