{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22392"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22392","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerically efficient analysis of microstrip configurations using closed-form Green's functions","abstract":"A general class of microstrip structures is investigated in this work by using a spatial domain Green's function. The derivation of the closed-form spatial domain Green's functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and superstrate for which the thicknesses can be arbitrary. The current distributions are computed for a microstrip line terminated by complex loads, a microstrip line with right-angle bends, and microstrip patch antennas using the closed-form expressions for the spatial domain Green's functions in conjunction with the method of moments (MoM). The computed current distributions are used to obtain the field distributions and spurious radiation produced by the current for the microstrip line terminated by complex loads, the scattering parameters for a microstrip discontinuity, and the input impedances and radiation patterns for a microstrip patch antenna. It was found that the use of the closed-form spatial domain Green's functions, in the context of the MoM, is more efficient, by almost two orders of magnitude in computation time, as compared to the conventional spectral domain approach in which the transformed version of the Green's functions is employed. The method is quite general and can be applied to arbitrary microstrip geometries.","abstract_html":"A general class of microstrip structures is investigated in this work by using a spatial domain Green&#x27;s function. The derivation of the closed-form spatial domain Green&#x27;s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and superstrate for which the thicknesses can be arbitrary. The current distributions are computed for a microstrip line terminated by complex loads, a microstrip line with right-angle bends, and microstrip patch antennas using the closed-form expressions for the spatial domain Green&#x27;s functions in conjunction with the method of moments (MoM). The computed current distributions are used to obtain the field distributions and spurious radiation produced by the current for the microstrip line terminated by complex loads, the scattering parameters for a microstrip discontinuity, and the input impedances and radiation patterns for a microstrip patch antenna. It was found that the use of the closed-form spatial domain Green&#x27;s functions, in the context of the MoM, is more efficient, by almost two orders of magnitude in computation time, as compared to the conventional spectral domain approach in which the transformed version of the Green&#x27;s functions is employed. The method is quite general and can be applied to arbitrary microstrip geometries.","abstract_has_math":false,"creators":["Park, Ikmo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical and Computer Engineering","degree_department":null,"school":null,"contributors":["Mittra, Raj"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:38:22Z","date_published":"2011-05-07T13:38:22Z","updated_at":"2026-07-22T22:25:19Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1994 Park, Ikmo"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9416423","(UMI)AAI9416423"],"render_values":[{"text":"AAI9416423","href":null,"code":true},{"text":"(UMI)AAI9416423","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/22392","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":["Park, Ikmo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:38:22Z","10000-01-01","1994"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical and Computer 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 1994 Park, Ikmo"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9416423","(UMI)AAI9416423","http://hdl.handle.net/2142/22392"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A general class of microstrip structures is investigated in this work by using a spatial domain Green's function. The derivation of the closed-form spatial domain Green's functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and superstrate for which the thicknesses can be arbitrary. The current distributions are computed for a microstrip line terminated by complex loads, a microstrip line with right-angle bends, and microstrip patch antennas using the closed-form expressions for the spatial domain Green's functions in conjunction with the method of moments (MoM). The computed current distributions are used to obtain the field distributions and spurious radiation produced by the current for the microstrip line terminated by complex loads, the scattering parameters for a microstrip discontinuity, and the input impedances and radiation patterns for a microstrip patch antenna. It was found that the use of the closed-form spatial domain Green's functions, in the context of the MoM, is more efficient, by almost two orders of magnitude in computation time, as compared to the conventional spectral domain approach in which the transformed version of the Green's functions is employed. The method is quite general and can be applied to arbitrary microstrip geometries.","Made available in DSpace on 2011-05-07T13:38:22Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9416423.pdf: 4103756 bytes, checksum: 91840d64842bdd49b80c959d8b30ae43 (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:57:19Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:26:52-05:00 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":["Numerically efficient analysis of microstrip configurations using closed-form Green's functions"]}]}],"canonical_facts":{"dc:contributor":["Mittra, Raj"],"dc:creator":["Park, Ikmo"],"dc:date":["2011-05-07T13:38:22Z","10000-01-01","1994"],"dc:description":["A general class of microstrip structures is investigated in this work by using a spatial domain Green's function. The derivation of the closed-form spatial domain Green's functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and superstrate for which the thicknesses can be arbitrary. The current distributions are computed for a microstrip line terminated by complex loads, a microstrip line with right-angle bends, and microstrip patch antennas using the closed-form expressions for the spatial domain Green's functions in conjunction with the method of moments (MoM). The computed current distributions are used to obtain the field distributions and spurious radiation produced by the current for the microstrip line terminated by complex loads, the scattering parameters for a microstrip discontinuity, and the input impedances and radiation patterns for a microstrip patch antenna. It was found that the use of the closed-form spatial domain Green's functions, in the context of the MoM, is more efficient, by almost two orders of magnitude in computation time, as compared to the conventional spectral domain approach in which the transformed version of the Green's functions is employed. The method is quite general and can be applied to arbitrary microstrip geometries.","Made available in DSpace on 2011-05-07T13:38:22Z (GMT). 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