Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices
This letter presents a second-order temporal-accurate scheme for three-dimensional (3-D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method with three split matrices. The main iterations of the proposed scheme comprise only one more procedure in addition to the existing three pr...
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Format: | Journal Article |
Language: | English |
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2015
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Online Access: | https://hdl.handle.net/10356/79345 http://hdl.handle.net/10220/38518 |
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author | Yang, Zaifeng Tan, Eng Leong Heh, Ding Yu |
author2 | School of Electrical and Electronic Engineering |
author_facet | School of Electrical and Electronic Engineering Yang, Zaifeng Tan, Eng Leong Heh, Ding Yu |
author_sort | Yang, Zaifeng |
collection | NTU |
description | This letter presents a second-order temporal-accurate scheme for three-dimensional (3-D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method with three split matrices. The main iterations of the proposed scheme comprise only one more procedure in addition to the existing three procedures. Using proper (initial only) input and (often infrequent, field-point only) output processings, the second-order temporal accuracy is achieved and verified analytically. To further enhance the efficiency, the proposed scheme is implemented based on the principle of fundamental schemes for unconditionally-stable FDTD methods, which feature a matrix-operator-free right-hand side. Stability analysis is provided to ascertain the unconditional stability of the proposed scheme and numerical results are demonstrated to justify its higher accuracy. |
first_indexed | 2024-10-01T06:11:25Z |
format | Journal Article |
id | ntu-10356/79345 |
institution | Nanyang Technological University |
language | English |
last_indexed | 2024-10-01T06:11:25Z |
publishDate | 2015 |
record_format | dspace |
spelling | ntu-10356/793452020-03-07T13:57:22Z Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices Yang, Zaifeng Tan, Eng Leong Heh, Ding Yu School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio This letter presents a second-order temporal-accurate scheme for three-dimensional (3-D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method with three split matrices. The main iterations of the proposed scheme comprise only one more procedure in addition to the existing three procedures. Using proper (initial only) input and (often infrequent, field-point only) output processings, the second-order temporal accuracy is achieved and verified analytically. To further enhance the efficiency, the proposed scheme is implemented based on the principle of fundamental schemes for unconditionally-stable FDTD methods, which feature a matrix-operator-free right-hand side. Stability analysis is provided to ascertain the unconditional stability of the proposed scheme and numerical results are demonstrated to justify its higher accuracy. Accepted version 2015-08-25T07:16:34Z 2019-12-06T13:23:03Z 2015-08-25T07:16:34Z 2019-12-06T13:23:03Z 2015 2015 Journal Article Yang, Z., Tan, E. L., & Heh, D. Y. Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices. IEEE Antennas and Wireless Propagation Letters, 14, 1105-1108. 1536-1225 https://hdl.handle.net/10356/79345 http://hdl.handle.net/10220/38518 10.1109/LAWP.2015.2394773 en IEEE antennas and wireless propagation letters © 2015 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: [http://dx.doi.org/10.1109/LAWP.2015.2394773]. application/pdf |
spellingShingle | DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio Yang, Zaifeng Tan, Eng Leong Heh, Ding Yu Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title | Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title_full | Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title_fullStr | Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title_full_unstemmed | Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title_short | Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices |
title_sort | second order temporal accurate scheme for 3 d lod fdtd method with three split matrices |
topic | DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio |
url | https://hdl.handle.net/10356/79345 http://hdl.handle.net/10220/38518 |
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