dc.contributor.advisor Cangellaris, Andreas C. dc.contributor.author Lee, Robert. en_US dc.creator Lee, Robert. en_US dc.date.accessioned 2011-10-31T17:29:12Z dc.date.available 2011-10-31T17:29:12Z dc.date.issued 1990 en_US dc.identifier.uri http://hdl.handle.net/10150/185154 dc.description.abstract The bymoment method is presented for the analysis of electromagnetic wave scattering from cylinders in an unbounded region. The method introduces a conforming surface to geometrically decouple the interior region containing the scatterer from the exterior region extending to infinity. The solution in the interior is generated from the standard finite element solution of an interior Dirichlet boundary-value problem. The interior solution is then coupled to the exterior by applying Green's theorem to the scattered field and each one of the members in a set of properly chosen testing functions. Because the finite element method is used for the solution in the interior region, the cylinder may be of arbitrary shape, and its material properties may, in general, be inhomogeneous. To demonstrate the capabilities of the method several problems involving cylindrical geometries are considered. The first is the problem of electromagnetic scattering from a single infinitely long cylinder in free space. The wave vector of the incident field is assumed to be normal to the axis of the cylinder so that the problem becomes two dimensional. The second is the case where there are a multiple number of parallel, infinitely long cylinders in free space. In this instance, an individual finite element grid is generated for each cylinder, and the coupling between the cylinders results from the application of Green's theorem. Next, the cylinder is placed in the presence of two semi-infinite half-spaces. This requires the evaluation of Sommerfeld-type integrals for the testing functions. Finally, the wave vector of the incident field is allowed to be obliquely incident on the cylinder. Numerical results are presented and compared to eigenfunction series and integral equation solutions in order to validate the method. dc.language.iso en en_US dc.publisher The University of Arizona. en_US dc.rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. en_US dc.subject Engineering en_US dc.subject Physics en_US dc.title Rigorous grid truncation for the finite element solution of electromagnetic scattering problems. en_US dc.type text en_US dc.type Dissertation-Reproduction (electronic) en_US dc.identifier.oclc 709732853 en_US thesis.degree.grantor University of Arizona en_US thesis.degree.level doctoral en_US dc.identifier.proquest 9103018 en_US thesis.degree.discipline Electrical and Computer Engineering en_US thesis.degree.discipline Graduate College en_US thesis.degree.name Ph.D. en_US refterms.dateFOA 2018-06-29T20:47:24Z html.description.abstract The bymoment method is presented for the analysis of electromagnetic wave scattering from cylinders in an unbounded region. The method introduces a conforming surface to geometrically decouple the interior region containing the scatterer from the exterior region extending to infinity. The solution in the interior is generated from the standard finite element solution of an interior Dirichlet boundary-value problem. The interior solution is then coupled to the exterior by applying Green's theorem to the scattered field and each one of the members in a set of properly chosen testing functions. Because the finite element method is used for the solution in the interior region, the cylinder may be of arbitrary shape, and its material properties may, in general, be inhomogeneous. To demonstrate the capabilities of the method several problems involving cylindrical geometries are considered. The first is the problem of electromagnetic scattering from a single infinitely long cylinder in free space. The wave vector of the incident field is assumed to be normal to the axis of the cylinder so that the problem becomes two dimensional. The second is the case where there are a multiple number of parallel, infinitely long cylinders in free space. In this instance, an individual finite element grid is generated for each cylinder, and the coupling between the cylinders results from the application of Green's theorem. Next, the cylinder is placed in the presence of two semi-infinite half-spaces. This requires the evaluation of Sommerfeld-type integrals for the testing functions. Finally, the wave vector of the incident field is allowed to be obliquely incident on the cylinder. Numerical results are presented and compared to eigenfunction series and integral equation solutions in order to validate the method.
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