{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80919"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80919","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution","abstract":"The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which corresponds to the local near-field of the scatterer/radiator is modeled with a higher-order finite element method (FEM) using interpolatory mixed node/vector basis functions. The radiation condition for the exterior region is enforced by using the method of moments (MoM) to form a boundary integral to enclose the interior region. Scattering problems are excited by a uniform plane wave which is decomposed into a superposition of cylindrical waves. Likewise, radiation problems are excited by local current sources which are decomposed into a Fourier series. For both scattering and radiation analysis each Fourier/cylindrical mode can be evaluated independently. The FE-BI method very accurately models the fields generated by any BOR. Increasing the order of the basis functions is shown to further improve the accuracy.","abstract_html":"The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which corresponds to the local near-field of the scatterer/radiator is modeled with a higher-order finite element method (FEM) using interpolatory mixed node/vector basis functions. The radiation condition for the exterior region is enforced by using the method of moments (MoM) to form a boundary integral to enclose the interior region. Scattering problems are excited by a uniform plane wave which is decomposed into a superposition of cylindrical waves. Likewise, radiation problems are excited by local current sources which are decomposed into a Fourier series. For both scattering and radiation analysis each Fourier/cylindrical mode can be evaluated independently. The FE-BI method very accurately models the fields generated by any BOR. Increasing the order of the basis functions is shown to further improve the accuracy.","abstract_has_math":false,"creators":["Dunn, Eric Alan"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Jin, Jianming"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:08:50Z","date_published":"2015-09-25T20:08:50Z","updated_at":"2026-07-22T22:26:15Z","subjects":["Physics, Electricity and Magnetism"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3198979"],"render_values":[{"text":"(MiAaPQ)AAI3198979","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80919","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jin, Jianming"]},{"key":"dc:creator","label":"Author","values":["Dunn, Eric Alan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:08:50Z","10000-01-01","2005"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Electricity and Magnetism"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80919","(MiAaPQ)AAI3198979"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which corresponds to the local near-field of the scatterer/radiator is modeled with a higher-order finite element method (FEM) using interpolatory mixed node/vector basis functions. The radiation condition for the exterior region is enforced by using the method of moments (MoM) to form a boundary integral to enclose the interior region. Scattering problems are excited by a uniform plane wave which is decomposed into a superposition of cylindrical waves. Likewise, radiation problems are excited by local current sources which are decomposed into a Fourier series. For both scattering and radiation analysis each Fourier/cylindrical mode can be evaluated independently. The FE-BI method very accurately models the fields generated by any BOR. Increasing the order of the basis functions is shown to further improve the accuracy.","Made available in DSpace on 2015-09-25T20:08:50Z (GMT). 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This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which corresponds to the local near-field of the scatterer/radiator is modeled with a higher-order finite element method (FEM) using interpolatory mixed node/vector basis functions. The radiation condition for the exterior region is enforced by using the method of moments (MoM) to form a boundary integral to enclose the interior region. Scattering problems are excited by a uniform plane wave which is decomposed into a superposition of cylindrical waves. Likewise, radiation problems are excited by local current sources which are decomposed into a Fourier series. For both scattering and radiation analysis each Fourier/cylindrical mode can be evaluated independently. The FE-BI method very accurately models the fields generated by any BOR. 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