{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/104753"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/104753","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis","abstract":"Several aspects of numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) for low-frequency problems and the characteristic mode analysis (CMA) for conducting objects with inhomogeneous background. The NGF of inhomogeneous media is purely independent with SIE which can be obtained by a variety of differential equation solvers with an arbitrary boundary condition. Therefore, the NGF can be precomputed and reused when it interacts with other objects in SIE. By encapsulating the inhomogeneous background with NGF, the CMA is extended to tackle real world problems where the interaction with background is captured. In addition, with the proposed model-order reduction method and wide-band spectral NGF, the complexity of performing CMA on the problem with inhomogeneous background is greatly reduced. Finally, the physics in semiconductor devices is investigated where the hydrodynamic model is applied to analyze semiconductor solar cell with nonlinearity.","abstract_html":"Several aspects of numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) for low-frequency problems and the characteristic mode analysis (CMA) for conducting objects with inhomogeneous background. The NGF of inhomogeneous media is purely independent with SIE which can be obtained by a variety of differential equation solvers with an arbitrary boundary condition. Therefore, the NGF can be precomputed and reused when it interacts with other objects in SIE. By encapsulating the inhomogeneous background with NGF, the CMA is extended to tackle real world problems where the interaction with background is captured. In addition, with the proposed model-order reduction method and wide-band spectral NGF, the complexity of performing CMA on the problem with inhomogeneous background is greatly reduced. Finally, the physics in semiconductor devices is investigated where the hydrodynamic model is applied to analyze semiconductor solar cell with nonlinearity.","abstract_has_math":false,"creators":["Gan, Hui"],"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","Li, Xiuling","Makela, Jonathan J.","Schutt-Ainé, José E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-08-23T19:51:31Z","date_published":"2019-08-23T19:51:31Z","updated_at":"2026-07-22T22:24:42Z","subjects":["Numerical Green's function, Surface integral equation, Characteristic mode analysis, Hydrodynamic model"],"languages":["en"],"rights":["Copyright 2019 Hui Gan"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/104753","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chew, Weng Cho","Li, Xiuling","Makela, Jonathan J.","Schutt-Ainé, José E."]},{"key":"dc:creator","label":"Author","values":["Gan, Hui"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-08-23T19:51:31Z","2019-03-07","2019-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"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":["Numerical Green's function, Surface integral equation, Characteristic mode analysis, Hydrodynamic model"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2019 Hui Gan"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/104753"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Several aspects of numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) for low-frequency problems and the characteristic mode analysis (CMA) for conducting objects with inhomogeneous background. The NGF of inhomogeneous media is purely independent with SIE which can be obtained by a variety of differential equation solvers with an arbitrary boundary condition. Therefore, the NGF can be precomputed and reused when it interacts with other objects in SIE. By encapsulating the inhomogeneous background with NGF, the CMA is extended to tackle real world problems where the interaction with background is captured. In addition, with the proposed model-order reduction method and wide-band spectral NGF, the complexity of performing CMA on the problem with inhomogeneous background is greatly reduced. Finally, the physics in semiconductor devices is investigated where the hydrodynamic model is applied to analyze semiconductor solar cell with nonlinearity.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-08-22 without embargo terms","The student, Hui Gan, accepted the attached license on 2019-03-06 at 09:22.","The student, Hui Gan, submitted this Dissertation for approval on 2019-03-06 at 09:37.","This Dissertation was approved for publication on 2019-03-07 at 09:08.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13411 on 2019-08-22 at 14:40:31","Made available in DSpace on 2019-08-23T19:51:31Z (GMT). No. of bitstreams: 2 GAN-DISSERTATION-2019.pdf: 6773993 bytes, checksum: 41ac99f0861fbd5f4f4b91de0cdb1e6c (MD5) LICENSE.txt: 4204 bytes, checksum: 20c31408eef2310487b84f85bd05e6f0 (MD5) Previous issue date: 2019-03-07"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis"]}]}],"canonical_facts":{"dc:contributor":["Chew, Weng Cho","Li, Xiuling","Makela, Jonathan J.","Schutt-Ainé, José E."],"dc:creator":["Gan, Hui"],"dc:date":["2019-08-23T19:51:31Z","2019-03-07","2019-05"],"dc:description":["Several aspects of numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) for low-frequency problems and the characteristic mode analysis (CMA) for conducting objects with inhomogeneous background. The NGF of inhomogeneous media is purely independent with SIE which can be obtained by a variety of differential equation solvers with an arbitrary boundary condition. Therefore, the NGF can be precomputed and reused when it interacts with other objects in SIE. By encapsulating the inhomogeneous background with NGF, the CMA is extended to tackle real world problems where the interaction with background is captured. In addition, with the proposed model-order reduction method and wide-band spectral NGF, the complexity of performing CMA on the problem with inhomogeneous background is greatly reduced. Finally, the physics in semiconductor devices is investigated where the hydrodynamic model is applied to analyze semiconductor solar cell with nonlinearity.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-08-22 without embargo terms","The student, Hui Gan, accepted the attached license on 2019-03-06 at 09:22.","The student, Hui Gan, submitted this Dissertation for approval on 2019-03-06 at 09:37.","This Dissertation was approved for publication on 2019-03-07 at 09:08.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13411 on 2019-08-22 at 14:40:31","Made available in DSpace on 2019-08-23T19:51:31Z (GMT). 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