{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/16127"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/16127","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Computational electromagnetics for microstrip and MEMS structures","abstract":"In the first part of this thesis, the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA) will be introduced for the analysis of general microstrip structures. It is based on a newly developed matrix-friendly dyadic Green's function for layered media (DGLM), which is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithms. The path deformation technique and the multipole-based acceleration are used to expedite the matrix-vector multiplication. Both the computation time per iteration and the memory requirement are $O(N\\log N)$ in the quasi-3D TSM-FMA. In the second part, an efficient and accurate way to evaluate the Casimir force between arbitrarily-shaped conducting objects in both 2D and 3D geometries will be presented. The Casimir force is the dominant force between charge-neutral objects when the separation is less than a micron. It is important in the design of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS). Our method casts the evaluation of the force as a series of traditional 2D or 3D electromagnetic scattering problems, which are formulated with integral equations and then solved using the method of moments. We demonstrate that this quantum electrodynamics phenomenon can be studied using the knowledge of classical electrodynamics.","abstract_html":"In the first part of this thesis, the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA) will be introduced for the analysis of general microstrip structures. It is based on a newly developed matrix-friendly dyadic Green's function for layered media (DGLM), which is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithms. The path deformation technique and the multipole-based acceleration are used to expedite the matrix-vector multiplication. Both the computation time per iteration and the memory requirement are $O(N\\log N)$ in the quasi-3D TSM-FMA. In the second part, an efficient and accurate way to evaluate the Casimir force between arbitrarily-shaped conducting objects in both 2D and 3D geometries will be presented. The Casimir force is the dominant force between charge-neutral objects when the separation is less than a micron. It is important in the design of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS). Our method casts the evaluation of the force as a series of traditional 2D or 3D electromagnetic scattering problems, which are formulated with integral equations and then solved using the method of moments. We demonstrate that this quantum electrodynamics phenomenon can be studied using the knowledge of classical electrodynamics.","abstract_has_math":true,"creators":["Xiong, Jie"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Chew, Weng Cho","Jin, Jianming","Schutt-Ainé, José E.","Aluru, Narayana R."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-05-19T18:37:09Z","date_published":"2010-05-19T18:37:09Z","updated_at":"2026-07-22T22:25:08Z","subjects":["computational electromagnetics","integral equation method","layered medium Green's function","fast algorithm","Casimir force"],"languages":["en"],"rights":["Copyright 2010 Jie Xiong"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/16127","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chew, Weng Cho","Jin, Jianming","Schutt-Ainé, José E.","Aluru, Narayana R."]},{"key":"dc:creator","label":"Author","values":["Xiong, Jie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2010-05-19T18:37:09Z","2010-5"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"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":["computational electromagnetics","integral equation method","layered medium Green's function","fast algorithm","Casimir force"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Jie Xiong"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/16127"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In the first part of this thesis, the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA) will be introduced for the analysis of general microstrip structures. It is based on a newly developed matrix-friendly dyadic Green's function for layered media (DGLM), which is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithms. The path deformation technique and the multipole-based acceleration are used to expedite the matrix-vector multiplication. Both the computation time per iteration and the memory requirement are $O(N\\log N)$ in the quasi-3D TSM-FMA. In the second part, an efficient and accurate way to evaluate the Casimir force between arbitrarily-shaped conducting objects in both 2D and 3D geometries will be presented. The Casimir force is the dominant force between charge-neutral objects when the separation is less than a micron. It is important in the design of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS). Our method casts the evaluation of the force as a series of traditional 2D or 3D electromagnetic scattering problems, which are formulated with integral equations and then solved using the method of moments. We demonstrate that this quantum electrodynamics phenomenon can be studied using the knowledge of classical electrodynamics.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-03-17T20:31:17Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Xiong_Jie_thesis_original.zip: 4058581 bytes, checksum: be734551383b968ffae2a8905b750790 (MD5) Xiong_Jie.pdf: 1797531 bytes, checksum: 6aab44f61d7789bc14268df52117db86 (MD5)","Made available in DSpace on 2010-05-19T18:37:09Z (GMT). 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The path deformation technique and the multipole-based acceleration are used to expedite the matrix-vector multiplication. Both the computation time per iteration and the memory requirement are $O(N\\log N)$ in the quasi-3D TSM-FMA. In the second part, an efficient and accurate way to evaluate the Casimir force between arbitrarily-shaped conducting objects in both 2D and 3D geometries will be presented. The Casimir force is the dominant force between charge-neutral objects when the separation is less than a micron. It is important in the design of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS). Our method casts the evaluation of the force as a series of traditional 2D or 3D electromagnetic scattering problems, which are formulated with integral equations and then solved using the method of moments. 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