Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies
Linear embedding via Green’s operators (LEGO) is a domain decomposition method particularly well suited for the solution of scattering and radiation problems comprised of many objects. The latter are enclosed in simple-shaped subdomains (electromagnetic bricks) which are in turn described by means o...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2014/467931 |
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| author | V. Lancellotti A. G. Tijhuis |
| author_facet | V. Lancellotti A. G. Tijhuis |
| author_sort | V. Lancellotti |
| collection | DOAJ |
| description | Linear embedding via Green’s operators (LEGO) is a domain decomposition method particularly well suited for the solution of scattering and radiation problems comprised of many objects. The latter are enclosed in simple-shaped subdomains (electromagnetic bricks) which are in turn described by means of scattering operators. In this paper we outline the extension of the LEGO approach to the case of penetrable objects with dyadic permittivity or permeability. Since a volume integral equation is only required to solve the scattering problem inside a brick and the scattering operators are inherently surface operators, the LEGO procedure per se can afford a reduction of the number of unknowns in the numerical solution with the Method of Moments and subsectional basis functions. Further substantial reduction is achieved with the eigencurrents expansion method (EEM) which employs the eigenvectors of the scattering operator as local entire-domain basis functions over a brick’s surface. Through a few selected numerical examples we discuss the validation and the efficiency of the LEGO-EEM technique applied to clusters of anisotropic bodies. |
| format | Article |
| id | doaj-art-961057b29c934c2e8a8a816edb7b5b66 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-961057b29c934c2e8a8a816edb7b5b662025-02-03T06:44:48ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/467931467931Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic BodiesV. Lancellotti0A. G. Tijhuis1Eindhoven University of Technology, Faculty of Electrical Engineering, 5612 AZ NL Eindhoven, The NetherlandsEindhoven University of Technology, Faculty of Electrical Engineering, 5612 AZ NL Eindhoven, The NetherlandsLinear embedding via Green’s operators (LEGO) is a domain decomposition method particularly well suited for the solution of scattering and radiation problems comprised of many objects. The latter are enclosed in simple-shaped subdomains (electromagnetic bricks) which are in turn described by means of scattering operators. In this paper we outline the extension of the LEGO approach to the case of penetrable objects with dyadic permittivity or permeability. Since a volume integral equation is only required to solve the scattering problem inside a brick and the scattering operators are inherently surface operators, the LEGO procedure per se can afford a reduction of the number of unknowns in the numerical solution with the Method of Moments and subsectional basis functions. Further substantial reduction is achieved with the eigencurrents expansion method (EEM) which employs the eigenvectors of the scattering operator as local entire-domain basis functions over a brick’s surface. Through a few selected numerical examples we discuss the validation and the efficiency of the LEGO-EEM technique applied to clusters of anisotropic bodies.http://dx.doi.org/10.1155/2014/467931 |
| spellingShingle | V. Lancellotti A. G. Tijhuis Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies International Journal of Antennas and Propagation |
| title | Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies |
| title_full | Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies |
| title_fullStr | Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies |
| title_full_unstemmed | Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies |
| title_short | Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies |
| title_sort | extended linear embedding via green s operators for analyzing wave scattering from anisotropic bodies |
| url | http://dx.doi.org/10.1155/2014/467931 |
| work_keys_str_mv | AT vlancellotti extendedlinearembeddingviagreensoperatorsforanalyzingwavescatteringfromanisotropicbodies AT agtijhuis extendedlinearembeddingviagreensoperatorsforanalyzingwavescatteringfromanisotropicbodies |