A Split-Step FDTD Method for 3-D Maxwell´s Equations in General Anisotropic Media

Author

Singh, Gurpreet ; Tan, Eng Leong ; Chen, Zhi Ning

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore

Volume

58

Issue

11

fYear

2010

Firstpage

3647

Lastpage

3657

Abstract

A split-step finite-difference time-domain (FDTD) method is presented for 3-D Maxwell´s equations in general anisotropic media. The general anisotropic media can be characterized by full permittivity and permeability tensors. Stability analysis of the proposed split-step FDTD method using the Fourier method is presented. The eigenvalues of the Fourier amplification matrix are numerically shown to have unity magnitude even for time steps greater than the Courant limit time step, thereby illustrating the stable and non-dissipative nature of the split-step FDTD method in general anisotropic media. Numerical results are presented to further validate the accuracy and stability of the proposed split-step FDTD method in general anisotropic media.

Keywords

Maxwell equations; anisotropic media; finite difference time-domain analysis; 3D Maxwell equation; Fourier amplification matrix; anisotropic media; finite difference time domain method; split step FDTD method; Eigenvalues and eigenfunctions; Finite difference methods; Perpendicular magnetic anisotropy; Stability analysis; Time domain analysis; Alternating direction implicit FDTD; anisotropic media; finite-difference time-domain (FDTD) method; locally 1-D FDTD; split-step FDTD; unconditionally stable FDTD methods;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2010.2071342

Filename

5559358