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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2020
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| Online Access: | https://hdl.handle.net/10356/137204 |
| _version_ | 1811696459778621440 |
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| author | Heh, Ding Yu Tan, Eng Leong |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Heh, Ding Yu Tan, Eng Leong |
| author_sort | Heh, Ding Yu |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T07:39:42Z |
| format | Journal Article |
| id | ntu-10356/137204 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:39:42Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | Engineering::Electrical and electronic engineering Amplification Matrices Dispersion Relations Heh, Ding Yu Tan, Eng Leong Further reinterpretation of multi-stage implicit FDTD schemes |
| title | 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_short | Further reinterpretation of multi-stage implicit FDTD schemes |
| title_sort | further reinterpretation of multi stage implicit fdtd schemes |
| topic | Engineering::Electrical and electronic engineering Amplification Matrices Dispersion Relations |
| url | https://hdl.handle.net/10356/137204 |
| work_keys_str_mv | AT hehdingyu furtherreinterpretationofmultistageimplicitfdtdschemes AT tanengleong furtherreinterpretationofmultistageimplicitfdtdschemes |