ADI-FDTD method with fourth order accuracy in time

ADI-FDTD method with fourth order accuracy in time

This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD...

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Main Authors: Tan, Eng Leong, Heh, Ding Yu
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
Subjects:
Engineering::Electrical and electronic engineering
Higher Order ADI-FDTD
Split-step Approach
Online Access:https://hdl.handle.net/10356/137113
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1371132020-02-26T04:01:24Z ADI-FDTD method with fourth order accuracy in time Tan, Eng Leong Heh, Ding Yu School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Higher Order ADI-FDTD Split-step Approach This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD and six-steps SS-FDTD, the fourth order ADI-FDTD generally achieves lower phase velocity error for sufficiently fine mesh. Using finer mesh gridding also reduces the phase velocity error floor, which dictates the accuracy limit due to spatial discretization errors when the time step size is reduced further. Accepted version 2020-02-26T04:01:24Z 2020-02-26T04:01:24Z 2008 Journal Article Tan, E. L., & Heh, D. Y. (2008). ADI-FDTD method with fourth order accuracy in time. IEEE Microwave and Wireless Components Letters, 18(5), 296-298. doi:10.1109/lmwc.2008.922099 1531-1309 https://hdl.handle.net/10356/137113 10.1109/LMWC.2008.922099 2-s2.0-44049099984 5 18 296 298 en IEEE Microwave and Wireless Components Letters © 2008 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/LMWC.2008.922099 application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Higher Order ADI-FDTD
Split-step Approach
spellingShingle Engineering::Electrical and electronic engineering
Higher Order ADI-FDTD
Split-step Approach
Tan, Eng Leong
Heh, Ding Yu
ADI-FDTD method with fourth order accuracy in time
description This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD and six-steps SS-FDTD, the fourth order ADI-FDTD generally achieves lower phase velocity error for sufficiently fine mesh. Using finer mesh gridding also reduces the phase velocity error floor, which dictates the accuracy limit due to spatial discretization errors when the time step size is reduced further.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Tan, Eng Leong
Heh, Ding Yu
format Article
author Tan, Eng Leong
Heh, Ding Yu
author_sort Tan, Eng Leong
title ADI-FDTD method with fourth order accuracy in time
title_short ADI-FDTD method with fourth order accuracy in time
title_full ADI-FDTD method with fourth order accuracy in time
title_fullStr ADI-FDTD method with fourth order accuracy in time
title_full_unstemmed ADI-FDTD method with fourth order accuracy in time
title_sort adi-fdtd method with fourth order accuracy in time
publishDate 2020
url https://hdl.handle.net/10356/137113
_version_ 1681038328411979776

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