{"id":"https://openalex.org/W2134163651","doi":"https://doi.org/10.1109/nems.2009.5068522","title":"Angularly parameterized macromodel extraction for microstructures with a large number of terminals","display_name":"Angularly parameterized macromodel extraction for microstructures with a large number of terminals","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2134163651","doi":"https://doi.org/10.1109/nems.2009.5068522","mag":"2134163651"},"language":"en","primary_location":{"id":"doi:10.1109/nems.2009.5068522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nems.2009.5068522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 4th IEEE International Conference on Nano/Micro Engineered and Molecular Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101751503","display_name":"Jinghui Xu","orcid":"https://orcid.org/0000-0002-8316-2843"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinghui Xu","raw_affiliation_strings":["Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105840489","display_name":"Weizheng Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weizheng Yuan","raw_affiliation_strings":["Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077311643","display_name":"Honglong Chang","orcid":"https://orcid.org/0000-0003-0400-3658"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Honglong Chang","raw_affiliation_strings":["Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100841046","display_name":"Binghe Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Binghe Ma","raw_affiliation_strings":["Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Micro and Nano Electromechanical System Laboratory, Northwestern Polytechnical University, Xi'an 710072, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1847846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"37","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8204846382141113},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.68250572681427},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.6599459648132324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5436928868293762},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5262048840522766},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5178535580635071},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5136746764183044},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4907852113246918},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.4749705493450165},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4594349265098572},{"id":"https://openalex.org/keywords/grating","display_name":"Grating","score":0.4551659822463989},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3965788185596466},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35710519552230835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2446240782737732},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16644635796546936},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14841201901435852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1304665207862854},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1024763286113739},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0954030454158783}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8204846382141113},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.68250572681427},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.6599459648132324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5436928868293762},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5262048840522766},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5178535580635071},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5136746764183044},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4907852113246918},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.4749705493450165},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4594349265098572},{"id":"https://openalex.org/C2777813233","wikidata":"https://www.wikidata.org/wiki/Q1527816","display_name":"Grating","level":2,"score":0.4551659822463989},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3965788185596466},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35710519552230835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2446240782737732},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16644635796546936},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14841201901435852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1304665207862854},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1024763286113739},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0954030454158783},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nems.2009.5068522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nems.2009.5068522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 4th IEEE International Conference on Nano/Micro Engineered and Molecular Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W159564413","https://openalex.org/W1879485968","https://openalex.org/W2029079335","https://openalex.org/W2067212817","https://openalex.org/W2122608783","https://openalex.org/W2126266252","https://openalex.org/W2146657482","https://openalex.org/W2146718399","https://openalex.org/W2150026833"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W2625725254","https://openalex.org/W2563912921"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"report":[4],"a":[5,18],"novel":[6],"method":[7],"for":[8,46,105],"extracting":[9],"the":[10,15,25,31,36,43,47,53,67,76,81,86,92,95,103],"angular":[11,44],"parameterized":[12],"macromodels":[13,26,48,77],"of":[14,21,39],"microstructures":[16],"with":[17,35,91],"large":[19],"number":[20],"input":[22],"terminals.":[23],"First,":[24],"are":[27],"extracted":[28],"by":[29,51],"combining":[30],"block":[32],"Arnoldi":[33],"approach":[34],"superposition":[37],"theory":[38],"linear":[40],"systems.":[41],"Then,":[42],"parameterization":[45],"is":[49,63,98],"achieved":[50],"applying":[52],"equivalent":[54],"matrix":[55],"coordinate":[56],"transformation.":[57],"A":[58],"pitch-tunable":[59],"micro":[60],"programmable":[61],"grating":[62],"used":[64],"to":[65],"demonstrate":[66],"proposed":[68],"macromodeling":[69],"method.":[70],"Numerical":[71],"simulation":[72],"results":[73],"show":[74],"that":[75],"can":[78],"dramatically":[79],"reduce":[80],"computation":[82],"cost":[83],"while":[84],"capturing":[85],"device":[87],"behavior":[88],"faithfully.":[89],"Compared":[90],"FEM":[93],"results,":[94],"relative":[96],"error":[97],"less":[99],"than":[100],"1.1%,":[101],"and":[102],"efficiency":[104],"transient":[106],"analysis":[107],"improves":[108],"about":[109],"45":[110],"times.":[111]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}