On the implementation and formulation of the electromagnetic surface integral equations

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Taskinen, Matti
dc.date.accessioned 2012-02-17T07:38:36Z
dc.date.available 2012-02-17T07:38:36Z
dc.date.issued 2006-04-07
dc.identifier.isbn 951-22-8123-6
dc.identifier.issn 1456-632X
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/2689
dc.description.abstract Surface integral equation method is one of the most popular numerical methods in the computational electromagnetics. In this thesis three problem areas in the implementation and formulation of the frequency domain surface integral equation methods are studied. First, a recursive technique is developed to evaluate the singular integrals arising from the electromagnetic surface integral equation methods. The technique is based on singularity subtraction method in which the most singular terms are extracted and evaluated analytically. A similar recursive algorithm is also developed for higher order basis functions. The technique is efficient and easy to apply for different surface integral equation formulations and polynomial basis functions. The second problem is how to model the electromagnetic fields in complex structures. A procedure is developed for this junction problem to model the fields separately in each region and to properly enforce the electromagnetic boundary conditions on the interfaces of the regions. The developed method is very simple and independent of the surface integral equation formulation and thus makes it easy to apply to different formulations. The third and most important problem is the choice of the electromagnetic surface integral equation formulation. Various traditional type of formulations are developed in this thesis and their behavior is studied especially with respect to the iterative methods. The most significant part of this thesis is the new type of a surface integral equation formulation and new techniques developed for it. The main idea in this new formulation is to use the surface charge densities as unknowns in addition to the traditional surface current densities. The formulation does not have problems with the low frequencies, it is well-balanced and the convergence of the iterative methods is fast for a very wide frequency range. The new formulation seems to be the first well-conditioned, truly broadband formulation that can be used from static to high frequencies in a general case of composite metallic and dielectric structures. The relation between the new formulation and the Picard's extended Maxwell system is also studied. en
dc.format.extent 29, [107]
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Helsinki University of Technology en
dc.publisher Teknillinen korkeakoulu fi
dc.relation.ispartofseries Electromagnetics Laboratory report series en
dc.relation.ispartofseries 470 en
dc.relation.haspart Pasi Ylä-Oijala and Matti Taskinen. Calculation of CFIE impedance matrix elements with RWG and n × RWG functions. IEEE Transactions on Antennas and Propagation, 51 (8): 1837-1846, August 2003.
dc.relation.haspart Seppo Järvenpää, Matti Taskinen, and Pasi Ylä-Oijala. Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra. International Journal for Numerical Methods in Engineering, 58 (8): 1149-1165, October 2003.
dc.relation.haspart Seppo Järvenpää, Matti Taskinen, and Pasi Ylä-Oijala. Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles. IEEE Transactions on Antennas and Propagation, 54 (1): 42-49, January 2006.
dc.relation.haspart Pasi Ylä-Oijala, Matti Taskinen, and Jukka Sarvas. Surface integral equation method for general composite metallic and dielectric structures with junctions. Progress In Electromagnetics Research (PIER), 52: 81-108, 2005.
dc.relation.haspart Pasi Ylä-Oijala and Matti Taskinen. Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects. IEEE Transactions on Antennas and Propagation, 53 (3): 1168-1173, March 2005.
dc.relation.haspart Pasi Ylä-Oijala and Matti Taskinen. Well-conditioned Müller formulation for electromagnetic scattering by dielectric objects. IEEE Transactions on Antennas and Propagation, 53 (10): 3316-3323, October 2005.
dc.relation.haspart Pasi Ylä-Oijala, Matti Taskinen, and Seppo Järvenpää. Surface integral equation formulations for solving electromagnetic scattering problems with iterative methods. Radio Science, 40 (6): RS6002 1-19, November 2005.
dc.relation.haspart Matti Taskinen and Pasi Ylä-Oijala. Current and charge integral equation formulation. IEEE Transactions on Antennas and Propagation, 54 (1): 58-67, January 2006.
dc.subject.other Electrical engineering en
dc.title On the implementation and formulation of the electromagnetic surface integral equations en
dc.type G5 Artikkeliväitöskirja fi
dc.description.version reviewed en
dc.contributor.department Department of Electrical and Communications Engineering en
dc.contributor.department Sähkö- ja tietoliikennetekniikan osasto fi
dc.subject.keyword electromagnetic surface integral equations en
dc.subject.keyword singular integrals en
dc.subject.keyword low frequency problem en
dc.identifier.urn urn:nbn:fi:tkk-006765
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (artikkeli) fi
dc.type.ontasot Doctoral dissertation (article-based) en
dc.contributor.lab Electromagnetics Laboratory en
dc.contributor.lab Sähkömagnetiikan laboratorio fi


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