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Title: Further reinterpretation of multi-stage implicit FDTD schemes
Authors: Heh, Ding Yu
Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2014
Source: Heh, D. Y., & Tan, E. L. (2014). Further reinterpretation of multi-stage implicit FDTD schemes. IEEE Transactions on Antennas and Propagation, 62(8), 4407-4411. doi:10.1109/tap.2014.2325952
Journal: IEEE Transactions on Antennas and Propagation
Abstract: This communication presents further reinterpretation of multi-stage implicit finite-difference time-domain (FDTD) schemes. The equivalence of several multi-stage split-step (SS) schemes is shown based on amplification matrices and power property of eigenvalues in dispersion relations. In doing so, the explicit expressions for dispersion relations need not be derived, thus amenable to 3D and generalized multi-stage SS schemes conveniently. The improvement of temporal accuracy for generalized multi-stage SS schemes using generalized input and output processing matrices is also provided. It is further shown that the SS, alternating-direction-implicit (ADI) as well as the recently proposed divergence-preserving (DP) ADI schemes can be interpreted based on the more concise matrix exponential.
ISSN: 0018-926X
DOI: 10.1109/TAP.2014.2325952
Schools: School of Electrical and Electronic Engineering 
Rights: © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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