{"id":{"repo_id":"duquesne","oai_identifier":"oai:dsc.duq.edu:etd-2053"},"canonical_url":"https://search.dev.ndltd.org/etd/duquesne/oai:dsc.duq.edu:etd-2053","repository":{"repo_id":"duquesne","name":"Duquesne","base_url":"https://dsc.duq.edu/do/oai/"},"display":{"title":"A Finite Element Approach to Model Electromagnetic Fields Scattered by a Buried Cavity","abstract":"This research investigates the plane-wave scattering from a two-dimensional arbitrarily shaped cavity embedded in an infinite metallic surface that has been covered with a layer or layers of dielectric material, considering both transverse electric and transverse magnetic polarizations. Due to the shape of the cavity, this problem is approached using the finite element method. This approach provides a boundary condition at the opening of the cavity which accounts for the effect of the overlayer(s) while confining the problem to the finite domain of the cavity itself. After determination of the solution for the electric and magnetic fields at the cavity aperture, the strength of the return echo can then be calculated and displayed in a radar cross section. In addition, numerical verifications and experiments illustrating the efficacy of the approach will be provided by comparison to other previously tested methods.","abstract_html":"This research investigates the plane-wave scattering from a two-dimensional arbitrarily shaped cavity embedded in an infinite metallic surface that has been covered with a layer or layers of dielectric material, considering both transverse electric and transverse magnetic polarizations. Due to the shape of the cavity, this problem is approached using the finite element method. This approach provides a boundary condition at the opening of the cavity which accounts for the effect of the overlayer(s) while confining the problem to the finite domain of the cavity itself. After determination of the solution for the electric and magnetic fields at the cavity aperture, the strength of the return echo can then be calculated and displayed in a radar cross section. In addition, numerical verifications and experiments illustrating the efficacy of the approach will be provided by comparison to other previously tested methods.","abstract_has_math":false,"creators":["Pernischova, Nicole"],"institution":null,"degree_name":"MS","degree_level":"Immediate Access","degree_discipline":"Computational Mathematics","degree_department":null,"school":null,"contributors":["John Fleming","Stacey Levine","Donald Simon"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-01-01T08:00:00Z","date_published":"2009-01-01T08:00:00Z","updated_at":"2026-07-24T02:10:15Z","subjects":["cavity","electromagnetic fields","finite element","scattering","TE","TM"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dsc.duq.edu/etd/1037","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["John Fleming","Stacey Levine","Donald Simon"]},{"key":"dc:creator","label":"Author","values":["Pernischova, Nicole"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computational Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Immediate Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["cavity","electromagnetic fields","finite element","scattering","TE","TM"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dsc.duq.edu/etd/1037"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This research investigates the plane-wave scattering from a two-dimensional arbitrarily shaped cavity embedded in an infinite metallic surface that has been covered with a layer or layers of dielectric material, considering both transverse electric and transverse magnetic polarizations. Due to the shape of the cavity, this problem is approached using the finite element method. This approach provides a boundary condition at the opening of the cavity which accounts for the effect of the overlayer(s) while confining the problem to the finite domain of the cavity itself. After determination of the solution for the electric and magnetic fields at the cavity aperture, the strength of the return echo can then be calculated and displayed in a radar cross section. In addition, numerical verifications and experiments illustrating the efficacy of the approach will be provided by comparison to other previously tested methods."]},{"key":"dc:title","label":"Title","values":["A Finite Element Approach to Model Electromagnetic Fields Scattered by a Buried Cavity"]}]}],"canonical_facts":{"dc:contributor":["John Fleming","Stacey Levine","Donald Simon"],"dc:creator":["Pernischova, Nicole"],"dc:date.available":["2018-08-03T07:00:00Z"],"dc:description.abstract":["This research investigates the plane-wave scattering from a two-dimensional arbitrarily shaped cavity embedded in an infinite metallic surface that has been covered with a layer or layers of dielectric material, considering both transverse electric and transverse magnetic polarizations. Due to the shape of the cavity, this problem is approached using the finite element method. This approach provides a boundary condition at the opening of the cavity which accounts for the effect of the overlayer(s) while confining the problem to the finite domain of the cavity itself. After determination of the solution for the electric and magnetic fields at the cavity aperture, the strength of the return echo can then be calculated and displayed in a radar cross section. In addition, numerical verifications and experiments illustrating the efficacy of the approach will be provided by comparison to other previously tested methods."],"dc:identifier":["https://dsc.duq.edu/etd/1037"],"dc:language":["English"],"dc:subject":["cavity","electromagnetic fields","finite element","scattering","TE","TM"],"dc:title":["A Finite Element Approach to Model Electromagnetic Fields Scattered by a Buried Cavity"],"thesis:degree_discipline":["Computational Mathematics"],"thesis:degree_level":["Immediate Access"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T02:10:15Z"}