{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/18926"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/18926","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Electromagnetic scattering from a structured slab comprised of periodically placed resistive cards","abstract":"The structured slab, which is constructed by arranging cells composed of thin, lossy, dielectric cards on a one- or two-dimensional lattice, is an important material in the aerospace industry because of its high strength-to-weight ratio. Recently, the structured slab has also been used to reduce the radar cross section of various aircraft. It is important, therefore, to characterize how an electromagnetic wave scatters from this slab. The structured slabs discussed in this thesis are constructed by repeating lossy strips periodically in one dimension or lossy plates in two dimensions.","abstract_html":"The structured slab, which is constructed by arranging cells composed of thin, lossy, dielectric cards on a one- or two-dimensional lattice, is an important material in the aerospace industry because of its high strength-to-weight ratio. Recently, the structured slab has also been used to reduce the radar cross section of various aircraft. It is important, therefore, to characterize how an electromagnetic wave scatters from this slab. The structured slabs discussed in this thesis are constructed by repeating lossy strips periodically in one dimension or lossy plates in two dimensions.","abstract_has_math":false,"creators":["Jorgenson, Roy Eberhardt"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Mittra, Raj"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T11:51:28Z","date_published":"2011-05-07T11:51:28Z","updated_at":"2026-07-22T22:25:11Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1989 Jorgenson, Roy Eberhardt"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924854","(UMI)AAI8924854"],"render_values":[{"text":"AAI8924854","href":null,"code":true},{"text":"(UMI)AAI8924854","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/18926","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Mittra, Raj"]},{"key":"dc:creator","label":"Author","values":["Jorgenson, Roy Eberhardt"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T11:51:28Z","10000-01-01","1989"]},{"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":["Engineering, Electronics and Electrical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Jorgenson, Roy Eberhardt"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924854","(UMI)AAI8924854","http://hdl.handle.net/2142/18926"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The structured slab, which is constructed by arranging cells composed of thin, lossy, dielectric cards on a one- or two-dimensional lattice, is an important material in the aerospace industry because of its high strength-to-weight ratio. Recently, the structured slab has also been used to reduce the radar cross section of various aircraft. It is important, therefore, to characterize how an electromagnetic wave scatters from this slab. The structured slabs discussed in this thesis are constructed by repeating lossy strips periodically in one dimension or lossy plates in two dimensions.","An electric field integral equation is formulated which has as its unknown the electric current flowing in a single unit cell of the structure. The periodicity of the structure is accounted for by using an efficiently calculated periodic Green's function. The loss is modeled by the resistive boundary condition. The integral equation is solved by the method of moments using subdomain basis functions. The generalized scattering matrix is calculated and the propagating reflection coefficients are plotted as a function of frequency for various structures.","The oblique scattering from one-dimensional arrays of strips is examined for various configurations of unit cells and various resistances. A depolarizing effect of the structure is found to be a function of incident angle and symmetry in the unit cell. The reflection from two-dimensional arrays of plates connected to form slabs of zigzag plates and honeycombs is also examined. The symmetry of the honeycomb unit cell minimizes the coupling between the TE and TM polarizations.","The structured slab is usually very thick in terms of wavelengths so that the incident electromagnetic energy can be absorbed effectively. To solve a thick structure in a straightforward manner requires too many unknowns; therefore, the final subject discussed in this thesis is how to extrapolate the scattering characteristics of a thick slab from the solution of a thin slab. Three methods are examined: cascading the generalized scattering matrix of a thin slab, which cannot account for currents flowing between the thin slabs; finding the modes in a lossy structure and mode matching, which is numerically intensive; using a few basis functions to model the interior current in a thick slab. The basis functions are constructed through the application of Prony's method.","Made available in DSpace on 2011-05-07T11:51:28Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924854.pdf: 8088999 bytes, checksum: 26c7f434bc35870d85428267d5510790 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:33:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:12:20-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Electromagnetic scattering from a structured slab comprised of periodically placed resistive cards"]}]}],"canonical_facts":{"dc:contributor":["Mittra, Raj"],"dc:creator":["Jorgenson, Roy Eberhardt"],"dc:date":["2011-05-07T11:51:28Z","10000-01-01","1989"],"dc:description":["The structured slab, which is constructed by arranging cells composed of thin, lossy, dielectric cards on a one- or two-dimensional lattice, is an important material in the aerospace industry because of its high strength-to-weight ratio. Recently, the structured slab has also been used to reduce the radar cross section of various aircraft. It is important, therefore, to characterize how an electromagnetic wave scatters from this slab. The structured slabs discussed in this thesis are constructed by repeating lossy strips periodically in one dimension or lossy plates in two dimensions.","An electric field integral equation is formulated which has as its unknown the electric current flowing in a single unit cell of the structure. The periodicity of the structure is accounted for by using an efficiently calculated periodic Green's function. The loss is modeled by the resistive boundary condition. The integral equation is solved by the method of moments using subdomain basis functions. The generalized scattering matrix is calculated and the propagating reflection coefficients are plotted as a function of frequency for various structures.","The oblique scattering from one-dimensional arrays of strips is examined for various configurations of unit cells and various resistances. A depolarizing effect of the structure is found to be a function of incident angle and symmetry in the unit cell. The reflection from two-dimensional arrays of plates connected to form slabs of zigzag plates and honeycombs is also examined. The symmetry of the honeycomb unit cell minimizes the coupling between the TE and TM polarizations.","The structured slab is usually very thick in terms of wavelengths so that the incident electromagnetic energy can be absorbed effectively. To solve a thick structure in a straightforward manner requires too many unknowns; therefore, the final subject discussed in this thesis is how to extrapolate the scattering characteristics of a thick slab from the solution of a thin slab. Three methods are examined: cascading the generalized scattering matrix of a thin slab, which cannot account for currents flowing between the thin slabs; finding the modes in a lossy structure and mode matching, which is numerically intensive; using a few basis functions to model the interior current in a thick slab. The basis functions are constructed through the application of Prony's method.","Made available in DSpace on 2011-05-07T11:51:28Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924854.pdf: 8088999 bytes, checksum: 26c7f434bc35870d85428267d5510790 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:33:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:12:20-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI8924854","(UMI)AAI8924854","http://hdl.handle.net/2142/18926"],"dc:language":["eng"],"dc:rights":["Copyright 1989 Jorgenson, Roy Eberhardt"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Electromagnetic scattering from a structured slab comprised of periodically placed resistive cards"],"dc:type":["text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:11Z"}