A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction

This paper proposes a hybrid technique for treating electromagnetic problems of scattering and radiation in which the source structure is described as an array of antennas. This strategy is based on the combination of the rigorous method multilevel fast multipole algorithm (MLFMA) and the high frequ...

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Main Authors: María-Jesús Algar, Javier Moreno, Iván González, Lorena Lozano, Felipe Cátedra
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2014/972584
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author María-Jesús Algar
Javier Moreno
Iván González
Lorena Lozano
Felipe Cátedra
author_facet María-Jesús Algar
Javier Moreno
Iván González
Lorena Lozano
Felipe Cátedra
author_sort María-Jesús Algar
collection DOAJ
description This paper proposes a hybrid technique for treating electromagnetic problems of scattering and radiation in which the source structure is described as an array of antennas. This strategy is based on the combination of the rigorous method multilevel fast multipole algorithm (MLFMA) and the high frequency technique geometrical theory of diffraction (GTD). Thanks to the use of MLFMA, the source can be discretized into several cubic regions considering each of them as a source point in order to reduce the number of times required to compute the ray tracing when GTD is applied to obtain the scatter field. In this analysis, objects with complex shapes are described by using nonuniform rational B-splines (NURBS) which is a very common way to model geometrical bodies. Numerical results that demonstrate the accuracy and efficiency in terms of CPU time are shown.
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institution Kabale University
issn 1687-5869
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-5cd1576b64a84c8b8aa0b6f27e8e3ae12025-02-03T05:52:16ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/972584972584A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of DiffractionMaría-Jesús Algar0Javier Moreno1Iván González2Lorena Lozano3Felipe Cátedra4Newfasant S.L., Avenida Buendia 11, 19005 Guadalajara, SpainDeptartment Ciencias de la Computación, Universidad de Alcalá, University of Alcalá, Alcalá de Henares, 28871 Madrid, SpainDeptartment Ciencias de la Computación, Universidad de Alcalá, University of Alcalá, Alcalá de Henares, 28871 Madrid, SpainDeptartment Ciencias de la Computación, Universidad de Alcalá, University of Alcalá, Alcalá de Henares, 28871 Madrid, SpainNewfasant S.L., Avenida Buendia 11, 19005 Guadalajara, SpainThis paper proposes a hybrid technique for treating electromagnetic problems of scattering and radiation in which the source structure is described as an array of antennas. This strategy is based on the combination of the rigorous method multilevel fast multipole algorithm (MLFMA) and the high frequency technique geometrical theory of diffraction (GTD). Thanks to the use of MLFMA, the source can be discretized into several cubic regions considering each of them as a source point in order to reduce the number of times required to compute the ray tracing when GTD is applied to obtain the scatter field. In this analysis, objects with complex shapes are described by using nonuniform rational B-splines (NURBS) which is a very common way to model geometrical bodies. Numerical results that demonstrate the accuracy and efficiency in terms of CPU time are shown.http://dx.doi.org/10.1155/2014/972584
spellingShingle María-Jesús Algar
Javier Moreno
Iván González
Lorena Lozano
Felipe Cátedra
A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
International Journal of Antennas and Propagation
title A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
title_full A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
title_fullStr A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
title_full_unstemmed A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
title_short A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction
title_sort hybrid technique based on the combination of multilevel fast multipole algorithm and the geometrical theory of diffraction
url http://dx.doi.org/10.1155/2014/972584
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