{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81324"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81324","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques","abstract":"In this thesis, we have developed a finite-difference-based frequency domain scheme to analyze a wide variety of waveguides and microstrip lines. The formulation is generalized to account for anisotropic, lossy substrates. In order to speed up the algorithm, the discretization is limited to the two-dimensional transverse plane while propagating the wave analytically along the longitudinal direction. The performance of the algorithm is further improved by using Krylov subspace-based reduction techniques to solve the sparse matrix equation. The numerical technique is also extended to analyze single and multiple discontinuities in the waveguiding structure. Finally, some preliminary work is done on truncation of the computational domain using perfectly matched layers (PML) as a material absorbing boundary conditions.","abstract_html":"In this thesis, we have developed a finite-difference-based frequency domain scheme to analyze a wide variety of waveguides and microstrip lines. The formulation is generalized to account for anisotropic, lossy substrates. In order to speed up the algorithm, the discretization is limited to the two-dimensional transverse plane while propagating the wave analytically along the longitudinal direction. The performance of the algorithm is further improved by using Krylov subspace-based reduction techniques to solve the sparse matrix equation. The numerical technique is also extended to analyze single and multiple discontinuities in the waveguiding structure. Finally, some preliminary work is done on truncation of the computational domain using perfectly matched layers (PML) as a material absorbing boundary conditions.","abstract_has_math":false,"creators":["Radhakrishnan, Kaladhar"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Chew, Weng Cho"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:10:35Z","date_published":"2015-09-25T20:10:35Z","updated_at":"2026-07-22T22:26:16Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9955660"],"render_values":[{"text":"(MiAaPQ)AAI9955660","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/81324","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chew, Weng Cho"]},{"key":"dc:creator","label":"Author","values":["Radhakrishnan, Kaladhar"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:10:35Z","10000-01-01","2000"]},{"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/2142/81324","(MiAaPQ)AAI9955660"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, we have developed a finite-difference-based frequency domain scheme to analyze a wide variety of waveguides and microstrip lines. The formulation is generalized to account for anisotropic, lossy substrates. In order to speed up the algorithm, the discretization is limited to the two-dimensional transverse plane while propagating the wave analytically along the longitudinal direction. The performance of the algorithm is further improved by using Krylov subspace-based reduction techniques to solve the sparse matrix equation. The numerical technique is also extended to analyze single and multiple discontinuities in the waveguiding structure. Finally, some preliminary work is done on truncation of the computational domain using perfectly matched layers (PML) as a material absorbing boundary conditions.","Made available in DSpace on 2015-09-25T20:10:35Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9955660.pdf: 5803409 bytes, checksum: d8c478927d0f59621bf16ff387a6cd49 (MD5) Previous issue date: 2000","Embargo set by: Seth Robbins for item 82605 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","132 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000."]},{"key":"dc:title","label":"Title","values":["Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques"]}]}],"canonical_facts":{"dc:contributor":["Chew, Weng Cho"],"dc:creator":["Radhakrishnan, Kaladhar"],"dc:date":["2015-09-25T20:10:35Z","10000-01-01","2000"],"dc:description":["In this thesis, we have developed a finite-difference-based frequency domain scheme to analyze a wide variety of waveguides and microstrip lines. The formulation is generalized to account for anisotropic, lossy substrates. In order to speed up the algorithm, the discretization is limited to the two-dimensional transverse plane while propagating the wave analytically along the longitudinal direction. The performance of the algorithm is further improved by using Krylov subspace-based reduction techniques to solve the sparse matrix equation. The numerical technique is also extended to analyze single and multiple discontinuities in the waveguiding structure. Finally, some preliminary work is done on truncation of the computational domain using perfectly matched layers (PML) as a material absorbing boundary conditions.","Made available in DSpace on 2015-09-25T20:10:35Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9955660.pdf: 5803409 bytes, checksum: d8c478927d0f59621bf16ff387a6cd49 (MD5) Previous issue date: 2000","Embargo set by: Seth Robbins for item 82605 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","132 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000."],"dc:identifier":["http://hdl.handle.net/2142/81324","(MiAaPQ)AAI9955660"],"dc:language":["eng"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques"],"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":"2026-07-22T22:26:16Z"}