Discretization of Modified Maxwell´s Equations using Exponential Time Differencing Algorithm in the Periodic FDTD Method

Author

Zheng, Guiping ; Kishk, Ahmed A. ; Yakovlev, Alexander B. ; Glisson, Allen W.

Author_Institution

Dept. of Electr. Eng., Mississippi Univ., University, MS

fYear

2006

fDate

9-14 July 2006

Firstpage

3801

Lastpage

3804

Abstract

In the proposed method, a new discretization technique based on the exponential time differencing (ETD) algorithm is introduced to achieve the same numerical stability and accuracy as in the traditional periodic FDTD method. Compared to the stability factor method (SFM), the ETD algorithm has simpler updating forms, and it requires less CPU time and memory. Several validation cases are provided and excellent agreement between these two methods among all of the validation cases is obtained

Keywords

Maxwell equations; finite difference time-domain analysis; numerical stability; periodic structures; exponential time differencing algorithm; modified Maxwell equation discretization; numerical stability; periodic FDTD method; stability factor method; Antenna arrays; Boundary conditions; Difference equations; Finite difference methods; Frequency domain analysis; Frequency selective surfaces; Maxwell equations; Metamaterials; Periodic structures; Receiving antennas;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium 2006, IEEE

Conference_Location

Albuquerque, NM

Print_ISBN

1-4244-0123-2

Type

conf

DOI

10.1109/APS.2006.1711451

Filename

1711451