{"id":{"repo_id":"aalto","oai_identifier":"oai:aaltodoc.aalto.fi:123456789/2410"},"canonical_url":"https://search.dev.ndltd.org/etd/aalto/oai:aaltodoc.aalto.fi:123456789/2410","repository":{"repo_id":"aalto","name":"Aalto University","base_url":"https://aaltodoc.aalto.fi/server/oai/request"},"display":{"title":"Solving electromagnetic boundary problems with equivalence methods","abstract":"A basic problem in electromagnetics involves solving the Maxwell equations in a non-empty space, i.e. in a space with interfaces or boundaries. In this dissertation the wanted electromagnetic fields are searched via equivalence methods: a full electromagnetic problem is transformed to a simpler solvable form, or the solution is an equivalent source, or both. The chosen transformations result to two slightly different transmission line formulations or to Kelvin inversion (inversion in a sphere). The equivalent source is typically an image source. The included cases are 1) a planar multilayer chiral structure, 2) a conducting earth under a current source, 3) a sphere in an isotropic or bi-isotropic space, and 4) three types of anisotropic half-space-planar boundary or half-space problems. The first two cases (three papers) are time-dependent problems and the latter two (four papers) statics or quasi-statics. In each case the solution methodology is presented, the solutions are written, and the implications and limitations are discussed.","abstract_html":"A basic problem in electromagnetics involves solving the Maxwell equations in a non-empty space, i.e. in a space with interfaces or boundaries. In this dissertation the wanted electromagnetic fields are searched via equivalence methods: a full electromagnetic problem is transformed to a simpler solvable form, or the solution is an equivalent source, or both. The chosen transformations result to two slightly different transmission line formulations or to Kelvin inversion (inversion in a sphere). The equivalent source is typically an image source. The included cases are 1) a planar multilayer chiral structure, 2) a conducting earth under a current source, 3) a sphere in an isotropic or bi-isotropic space, and 4) three types of anisotropic half-space-planar boundary or half-space problems. The first two cases (three papers) are time-dependent problems and the latter two (four papers) statics or quasi-statics. In each case the solution methodology is presented, the solutions are written, and the implications and limitations are discussed.","abstract_has_math":false,"creators":["Hänninen, Jari J."],"institution":"Helsinki University of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Department of Electrical and Communications Engineering","school":null,"contributors":["Aalto-yliopisto","Aalto University"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004-05-07","date_published":"2004-05-07","updated_at":"2026-08-21T22:21:56Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://aaltodoc.aalto.fi/handle/123456789/2410","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"source_record":{"url":"https://aaltodoc.aalto.fi/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Aaaltodoc.aalto.fi%3A123456789%2F2410","prefix":"dim"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Aalto-yliopisto","Aalto University"]},{"key":"dc:contributor.department","label":"Department","values":["Department of Electrical and Communications Engineering","Sähkö- ja tietoliikennetekniikan osasto"]},{"key":"dc:creator","label":"Author","values":["Hänninen, Jari J."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-02-13T12:43:45Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2012-02-13T12:43:45Z"]},{"key":"dc:date.issued","label":"Date","values":["2004-05-07"]},{"key":"dc:publisher","label":"Institution","values":["Helsinki University of Technology","Teknillinen korkeakoulu"]},{"key":"dc:type","label":"Dc Type","values":["G5 Artikkeliväitöskirja"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["text"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://aaltodoc.aalto.fi/handle/123456789/2410"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A basic problem in electromagnetics involves solving the Maxwell equations in a non-empty space, i.e. in a space with interfaces or boundaries. In this dissertation the wanted electromagnetic fields are searched via equivalence methods: a full electromagnetic problem is transformed to a simpler solvable form, or the solution is an equivalent source, or both. The chosen transformations result to two slightly different transmission line formulations or to Kelvin inversion (inversion in a sphere). The equivalent source is typically an image source. The included cases are 1) a planar multilayer chiral structure, 2) a conducting earth under a current source, 3) a sphere in an isotropic or bi-isotropic space, and 4) three types of anisotropic half-space-planar boundary or half-space problems. The first two cases (three papers) are time-dependent problems and the latter two (four papers) statics or quasi-statics. In each case the solution methodology is presented, the solutions are written, and the implications and limitations are discussed."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Solving electromagnetic boundary problems with equivalence methods"]}]}],"canonical_facts":{"dc:contributor":["Aalto-yliopisto","Aalto University"],"dc:contributor.department":["Department of Electrical and Communications Engineering","Sähkö- ja tietoliikennetekniikan osasto"],"dc:creator":["Hänninen, Jari J."],"dc:date.accessioned":["2012-02-13T12:43:45Z"],"dc:date.available":["2012-02-13T12:43:45Z"],"dc:date.issued":["2004-05-07"],"dc:description.abstract":["A basic problem in electromagnetics involves solving the Maxwell equations in a non-empty space, i.e. in a space with interfaces or boundaries. In this dissertation the wanted electromagnetic fields are searched via equivalence methods: a full electromagnetic problem is transformed to a simpler solvable form, or the solution is an equivalent source, or both. The chosen transformations result to two slightly different transmission line formulations or to Kelvin inversion (inversion in a sphere). The equivalent source is typically an image source. The included cases are 1) a planar multilayer chiral structure, 2) a conducting earth under a current source, 3) a sphere in an isotropic or bi-isotropic space, and 4) three types of anisotropic half-space-planar boundary or half-space problems. The first two cases (three papers) are time-dependent problems and the latter two (four papers) statics or quasi-statics. In each case the solution methodology is presented, the solutions are written, and the implications and limitations are discussed."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://aaltodoc.aalto.fi/handle/123456789/2410"],"dc:language.iso":["en"],"dc:publisher":["Helsinki University of Technology","Teknillinen korkeakoulu"],"dc:title":["Solving electromagnetic boundary problems with equivalence methods"],"dc:type":["G5 Artikkeliväitöskirja"],"dc:type.dcmitype":["text"]},"updated_at":"2026-08-21T22:21:56Z"}