WCS-FDTD Algorithm for Periodic Structures

Author

Mao, Yun-Fei ; Chen, Bin ; Xiong, Run ; Geng, Hai-Jian ; Tang, Ji-Zhen

Author_Institution

Nat. Key Lab. on Electromagn. Environ. & Electro-Opt. Eng., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

10

fYear

2011

fDate

7/3/1905 12:00:00 AM

Firstpage

1236

Lastpage

1238

Abstract

In this letter, the weakly conditional technique is applied to the finite-difference time-domain (FDTD) method, called WCS-FDTD in short. It is combined with periodic boundary condition (PBC), so periodic structures can be solved by using this method conveniently. When the explicit difference calculations are performed in the directions with larger spatial increments, the time-step is thus determined by the larger spatial increments, and the stability condition is less strict than the conventional FDTD method. In order to save the CPU running time, the Sherman-Morrison formula is used to solve the nontridiagonal linear systems. Compared to ADI-FDTD method, this method has better accuracy and computational efficiency. Numerical results are given to demonstrate the effectiveness of the proposed method.

Keywords

electromagnetic field theory; finite difference time-domain analysis; periodic structures; ADI-FDTD method; Sherman-Morrison formula; WCS-FDTD algorithm; finite-difference time-domain method; nontridiagonal linear systems; periodic boundary condition; periodic structures; stability condition; Accuracy; Finite difference methods; Numerical stability; Periodic structures; Reflection; Stability analysis; Time domain analysis; Finite-difference time domain (FDTD); periodic structure; weakly conditional;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2011.2174331

Filename

6068220