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Title: Stability and dispersion analysis for three-dimensional (3-D) leapfrog ADI-FDTD method
Authors: Gan, Theng Huat
Tan, Eng Leong
Keywords: Electrical and Electronic Engineering
Issue Date: 2012
Source: Gan, T. H., & Tan, E. L. (2012). Stability and dispersion analysis for three-dimensional (3-D) leapfrog ADI-FDTD method. Progress In Electromagnetics Research M, 23, 1-12.
Series/Report no.: Progress in electromagnetics research M
Abstract: 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.
ISSN: 1937-8726
DOI: 10.2528/PIERM11111803
Rights: © 2012 EMW Publishing. This paper was published in Progress In Electromagnetics Research M (PIER M) and is made available as an electronic reprint (preprint) with permission of EMW Publishing. The paper can be found at the following official DOI: [].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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