{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/66239"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/66239","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Diffraction by Parallel-Plates With Application to Lens Antennas","abstract":"Scattering of an incident plane, or cylindrical, wave by a staggered parallel-plate waveguide is examined. Of particular interest are the modal coefficients of the unattenuated modes in the waveguide when the incident field is an E-wave. Several past approaches based on ray techniques are critically examined. It is found that they are not applicable when the stagger is small or when the incident field is a cylindrical wave. For the latter incidence, we introduce here an aperture field method, in which the modal coefficients are calculated through the Fourier decomposition of the scattered field at the waveguide aperture. To determine this scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.","abstract_html":"Scattering of an incident plane, or cylindrical, wave by a staggered parallel-plate waveguide is examined. Of particular interest are the modal coefficients of the unattenuated modes in the waveguide when the incident field is an E-wave. Several past approaches based on ray techniques are critically examined. It is found that they are not applicable when the stagger is small or when the incident field is a cylindrical wave. For the latter incidence, we introduce here an aperture field method, in which the modal coefficients are calculated through the Fourier decomposition of the scattered field at the waveguide aperture. To determine this scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.","abstract_has_math":false,"creators":["Grun, Leon"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-12T20:55:17Z","date_published":"2014-12-12T20:55:17Z","updated_at":"2026-07-22T22:25:55Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8108526"],"render_values":[{"text":"(UMI)AAI8108526","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/66239","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Grun, Leon"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-12T20:55:17Z","10000-01-01","1980"]},{"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"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/66239","(UMI)AAI8108526"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Scattering of an incident plane, or cylindrical, wave by a staggered parallel-plate waveguide is examined. Of particular interest are the modal coefficients of the unattenuated modes in the waveguide when the incident field is an E-wave. Several past approaches based on ray techniques are critically examined. It is found that they are not applicable when the stagger is small or when the incident field is a cylindrical wave. For the latter incidence, we introduce here an aperture field method, in which the modal coefficients are calculated through the Fourier decomposition of the scattered field at the waveguide aperture. To determine this scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.","Extensive numerical data show that the aperture field method gives accurate results in canonical problems whose exact solutions are known. As an application to the design of constraint waveguide lens antenna our method enables one to determine the field distributed over the lens in a more exact manner.","Made available in DSpace on 2014-12-12T20:55:17Z (GMT). No. of bitstreams: 1 8108526.pdf: 3436408 bytes, checksum: 981b40f6747178ac06705b8f301146dd (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 66418 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","130 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."]},{"key":"dc:title","label":"Title","values":["Diffraction by Parallel-Plates With Application to Lens Antennas"]}]}],"canonical_facts":{"dc:creator":["Grun, Leon"],"dc:date":["2014-12-12T20:55:17Z","10000-01-01","1980"],"dc:description":["Scattering of an incident plane, or cylindrical, wave by a staggered parallel-plate waveguide is examined. Of particular interest are the modal coefficients of the unattenuated modes in the waveguide when the incident field is an E-wave. Several past approaches based on ray techniques are critically examined. It is found that they are not applicable when the stagger is small or when the incident field is a cylindrical wave. For the latter incidence, we introduce here an aperture field method, in which the modal coefficients are calculated through the Fourier decomposition of the scattered field at the waveguide aperture. To determine this scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.","Extensive numerical data show that the aperture field method gives accurate results in canonical problems whose exact solutions are known. As an application to the design of constraint waveguide lens antenna our method enables one to determine the field distributed over the lens in a more exact manner.","Made available in DSpace on 2014-12-12T20:55:17Z (GMT). No. of bitstreams: 1 8108526.pdf: 3436408 bytes, checksum: 981b40f6747178ac06705b8f301146dd (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 66418 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","130 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."],"dc:identifier":["http://hdl.handle.net/2142/66239","(UMI)AAI8108526"],"dc:language":["eng"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Diffraction by Parallel-Plates With Application to Lens Antennas"],"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":"2026-07-22T22:25:55Z"}