STABILITY AND DISPERSION ANALYSIS FOR THREE-DIMENSIONAL (3-D) LEAPFROG ADI-FDTD METHOD

被引：21

作者：

Gan, T. H. ^{[1
]}

Tan, E. L. ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch EEE, Nanyang Ave, Singapore 639798, Singapore

来源：

PROGRESS IN ELECTROMAGNETICS RESEARCH M | 2012年 / 23卷

关键词：

Dispersions - Stability - Eigenvalues and eigenfunctions;

D O I：

10.2528/PIERM11111803

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Stability and dispersion analysis for the three-dimensional (3-D) leapfrog alternate direction implicit finite difference time domain (ADI-FDTD) method is presented in this paper. The leapfrog ADI-FDTD method is reformulated in the form similar to conventional explicit FDTD method by introducing two auxiliary variables. The auxiliary variables serve as perturbations of the main fields variables. The stability of the leapfrog ADI-FDTD method is analyzed using the Fourier method and the eigenvalues of the Fourier amplification matrix are obtained analytically to prove the unconditional stability of the leapfrog ADI-FDTD method. The dispersion relation of the leapfrog ADI-FDTD method is also presented.

引用

页码：1 / 12

页数：12

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