One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation
An unconditionally stable one-step leapfrog locally one-dimensional finite-difference time-domain (LOD-FDTD) algorithm towards body of revolution (BOR) is presented. The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algo...
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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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Series: | International Journal of Antennas and Propagation |
Online Access: | http://dx.doi.org/10.1155/2016/8402697 |
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author | Yi-Gang Wang Yun Yi Bin Chen Hai-Lin Chen Kang Luo Run Xiong |
author_facet | Yi-Gang Wang Yun Yi Bin Chen Hai-Lin Chen Kang Luo Run Xiong |
author_sort | Yi-Gang Wang |
collection | DOAJ |
description | An unconditionally stable one-step leapfrog locally one-dimensional finite-difference time-domain (LOD-FDTD) algorithm towards body of revolution (BOR) is presented. The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algorithm. The equations for z-direction electric and magnetic fields in the proposed algorithm should be treated specially. The new algorithm obtains a higher computational efficiency while preserving the properties of the conventional LOD-BOR-FDTD algorithm. Moreover, the convolutional perfectly matched layer (CPML) is introduced into the one-step leapfrog LOD-BOR-FDTD algorithm. The equation of the one-step leapfrog CPML is concise. Numerical results show that its reflection error is small. It can be concluded that the similar CPML scheme can also be easily applied to the one-step leapfrog LOD-FDTD algorithm in the Cartesian coordinate system. |
format | Article |
id | doaj-art-9502899439d84a95801c1357786f76d2 |
institution | Kabale University |
issn | 1687-5869 1687-5877 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Antennas and Propagation |
spelling | doaj-art-9502899439d84a95801c1357786f76d22025-02-03T01:03:49ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772016-01-01201610.1155/2016/84026978402697One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML ImplementationYi-Gang Wang0Yun Yi1Bin Chen2Hai-Lin Chen3Kang Luo4Run Xiong5PLA University of Science and Technology, Nanjing, Jiangsu 210007, ChinaPLA University of Science and Technology, Nanjing, Jiangsu 210007, ChinaPLA University of Science and Technology, Nanjing, Jiangsu 210007, ChinaPLA University of Science and Technology, Nanjing, Jiangsu 210007, ChinaPLA University of Science and Technology, Nanjing, Jiangsu 210007, ChinaEngineering Academy of PLA, Xuzhou, Jiangsu 221004, ChinaAn unconditionally stable one-step leapfrog locally one-dimensional finite-difference time-domain (LOD-FDTD) algorithm towards body of revolution (BOR) is presented. The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algorithm. The equations for z-direction electric and magnetic fields in the proposed algorithm should be treated specially. The new algorithm obtains a higher computational efficiency while preserving the properties of the conventional LOD-BOR-FDTD algorithm. Moreover, the convolutional perfectly matched layer (CPML) is introduced into the one-step leapfrog LOD-BOR-FDTD algorithm. The equation of the one-step leapfrog CPML is concise. Numerical results show that its reflection error is small. It can be concluded that the similar CPML scheme can also be easily applied to the one-step leapfrog LOD-FDTD algorithm in the Cartesian coordinate system.http://dx.doi.org/10.1155/2016/8402697 |
spellingShingle | Yi-Gang Wang Yun Yi Bin Chen Hai-Lin Chen Kang Luo Run Xiong One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation International Journal of Antennas and Propagation |
title | One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation |
title_full | One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation |
title_fullStr | One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation |
title_full_unstemmed | One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation |
title_short | One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation |
title_sort | one step leapfrog lod bor fdtd algorithm with cpml implementation |
url | http://dx.doi.org/10.1155/2016/8402697 |
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