Matrix Generation by First-Order Taylor Expansion in a Localized Manner

The method of moments is widely used, but its matrix generation is time-consuming. In the present paper, a localized multifrequency matrix-filling method is proposed. The method is based on the retarded first-order Taylor expansion of Green’s functions on each field point, which can reduce the numbe...

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Main Authors: Jun Hu, Wen Zhang, Tong-Tong Qiu, Xue Lan
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2018/3453495
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author Jun Hu
Wen Zhang
Tong-Tong Qiu
Xue Lan
author_facet Jun Hu
Wen Zhang
Tong-Tong Qiu
Xue Lan
author_sort Jun Hu
collection DOAJ
description The method of moments is widely used, but its matrix generation is time-consuming. In the present paper, a localized multifrequency matrix-filling method is proposed. The method is based on the retarded first-order Taylor expansion of Green’s functions on each field point, which can reduce the number of callback Green’s functions and hence can solve double-surface integrals quickly. It is also based on the extraction of the common factors of different frequencies, and hence can sweep the frequency points quickly. Numerical examples are provided to validate the efficiencies of the proposed method.
format Article
id doaj-art-07339b8797954380b4085b1fd91d61e8
institution Kabale University
issn 1687-5869
1687-5877
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-07339b8797954380b4085b1fd91d61e82025-02-03T05:54:05ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/34534953453495Matrix Generation by First-Order Taylor Expansion in a Localized MannerJun Hu0Wen Zhang1Tong-Tong Qiu2Xue Lan3Ministerial Key Laboratory of JGMT, Nanjing University of Science and Technology, Nanjing, ChinaMinisterial Key Laboratory of JGMT, Nanjing University of Science and Technology, Nanjing, ChinaMinisterial Key Laboratory of JGMT, Nanjing University of Science and Technology, Nanjing, ChinaMinisterial Key Laboratory of JGMT, Nanjing University of Science and Technology, Nanjing, ChinaThe method of moments is widely used, but its matrix generation is time-consuming. In the present paper, a localized multifrequency matrix-filling method is proposed. The method is based on the retarded first-order Taylor expansion of Green’s functions on each field point, which can reduce the number of callback Green’s functions and hence can solve double-surface integrals quickly. It is also based on the extraction of the common factors of different frequencies, and hence can sweep the frequency points quickly. Numerical examples are provided to validate the efficiencies of the proposed method.http://dx.doi.org/10.1155/2018/3453495
spellingShingle Jun Hu
Wen Zhang
Tong-Tong Qiu
Xue Lan
Matrix Generation by First-Order Taylor Expansion in a Localized Manner
International Journal of Antennas and Propagation
title Matrix Generation by First-Order Taylor Expansion in a Localized Manner
title_full Matrix Generation by First-Order Taylor Expansion in a Localized Manner
title_fullStr Matrix Generation by First-Order Taylor Expansion in a Localized Manner
title_full_unstemmed Matrix Generation by First-Order Taylor Expansion in a Localized Manner
title_short Matrix Generation by First-Order Taylor Expansion in a Localized Manner
title_sort matrix generation by first order taylor expansion in a localized manner
url http://dx.doi.org/10.1155/2018/3453495
work_keys_str_mv AT junhu matrixgenerationbyfirstordertaylorexpansioninalocalizedmanner
AT wenzhang matrixgenerationbyfirstordertaylorexpansioninalocalizedmanner
AT tongtongqiu matrixgenerationbyfirstordertaylorexpansioninalocalizedmanner
AT xuelan matrixgenerationbyfirstordertaylorexpansioninalocalizedmanner