Further reinterpretation of multi-stage implicit FDTD schemes

Further reinterpretation of multi-stage implicit FDTD schemes

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, t...

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Main Authors: Heh, Ding Yu, Tan, Eng Leong
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
Subjects:
Engineering::Electrical and electronic engineering
Amplification Matrices
Dispersion Relations
Online Access:https://hdl.handle.net/10356/137204
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1372042020-03-06T04:27:04Z Further reinterpretation of multi-stage implicit FDTD schemes Heh, Ding Yu Tan, Eng Leong School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Amplification Matrices Dispersion Relations 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. Accepted version 2020-03-06T04:27:04Z 2020-03-06T04:27:04Z 2014 Journal Article 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 0018-926X https://hdl.handle.net/10356/137204 10.1109/TAP.2014.2325952 2-s2.0-84905837133 8 62 4407 4411 en IEEE Transactions on Antennas and Propagation © 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: https://doi.org/10.1109/TAP.2014.2325952 application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Amplification Matrices
Dispersion Relations
spellingShingle Engineering::Electrical and electronic engineering
Amplification Matrices
Dispersion Relations
Heh, Ding Yu
Tan, Eng Leong
Further reinterpretation of multi-stage implicit FDTD schemes
description 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.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Heh, Ding Yu
Tan, Eng Leong
format Article
author Heh, Ding Yu
Tan, Eng Leong
author_sort Heh, Ding Yu
title Further reinterpretation of multi-stage implicit FDTD schemes
title_short Further reinterpretation of multi-stage implicit FDTD schemes
title_full Further reinterpretation of multi-stage implicit FDTD schemes
title_fullStr Further reinterpretation of multi-stage implicit FDTD schemes
title_full_unstemmed Further reinterpretation of multi-stage implicit FDTD schemes
title_sort further reinterpretation of multi-stage implicit fdtd schemes
publishDate 2020
url https://hdl.handle.net/10356/137204
_version_ 1681046825456369664

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