Stability and dispersion analysis for three-dimensional (3-D) leapfrog ADI-FDTD method
Gan, Theng Huat
Tan, Eng Leong
Date of Issue2012
School of Electrical and Electronic Engineering
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.
Electrical and Electronic Engineering
Progress in electromagnetics research M
© 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: [http://dx.doi.org/10.2528/PIERM11111803]. 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.