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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Main Authors: Yi-Gang Wang, Yun Yi, Bin Chen, Hai-Lin Chen, Kang Luo, Run Xiong
Format: Article
Language:English
Published: Wiley 2016-01-01
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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