{"id":"https://openalex.org/W2044368391","doi":"https://doi.org/10.1631/jzus.c0910732","title":"A numerical local orthogonal transform method for stratified waveguides","display_name":"A numerical local orthogonal transform method for stratified waveguides","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2044368391","doi":"https://doi.org/10.1631/jzus.c0910732","mag":"2044368391"},"language":"en","primary_location":{"id":"doi:10.1631/jzus.c0910732","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c0910732","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-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/A5100432721","display_name":"Peng Li","orcid":"https://orcid.org/0000-0002-5876-2177"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I198645480","display_name":"North China University of Water Resources and Electric Power","ror":"https://ror.org/03acrzv41","country_code":"CN","type":"education","lineage":["https://openalex.org/I198645480"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Li","raw_affiliation_strings":["Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou, 450045, China","School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an, 710061, China","North China University of Water Conservancy and Electric Power","Xi\u2019an Jiaotong University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou, 450045, China","institution_ids":["https://openalex.org/I198645480"]},{"raw_affiliation_string":"School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an, 710061, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"North China University of Water Conservancy and Electric Power","institution_ids":["https://openalex.org/I198645480"]},{"raw_affiliation_string":"Xi\u2019an Jiaotong University","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101547864","display_name":"Weizhou Zhong","orcid":"https://orcid.org/0000-0003-0966-2599"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-zhou Zhong","raw_affiliation_strings":["School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an, 710061, China","School of Economics and Finance Xi\u2019an Jiaotong University  Xi'an China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an, 710061, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Economics and Finance Xi\u2019an Jiaotong University  Xi'an China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016184336","display_name":"LI Guo-sheng","orcid":null},"institutions":[{"id":"https://openalex.org/I132586189","display_name":"Zhongyuan University of Technology","ror":"https://ror.org/0360zcg91","country_code":"CN","type":"education","lineage":["https://openalex.org/I132586189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo-sheng Li","raw_affiliation_strings":["Department of Mathematics, Zhongyuan University of Technology, Zhengzhou, 450007, China","Department of Mathematics, Zhongyuan University of Technology, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhongyuan University of Technology, Zhengzhou, 450007, China","institution_ids":["https://openalex.org/I132586189"]},{"raw_affiliation_string":"Department of Mathematics, Zhongyuan University of Technology, Zhengzhou, China","institution_ids":["https://openalex.org/I132586189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100709559","display_name":"Zhihua Chen","orcid":"https://orcid.org/0009-0008-2812-6648"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]},{"id":"https://openalex.org/I4402554164","display_name":"Zhijiang College of Zhejiang University of Technology","ror":"https://ror.org/02kxw0b63","country_code":null,"type":"education","lineage":["https://openalex.org/I4402554164","https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-hua Chen","raw_affiliation_strings":["Science Department, Zhijiang College of Zhejiang University of Technology, Hangzhou, 310027, China","Science Department, Zhijiang College of Zhejiang University of Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Science Department, Zhijiang College of Zhejiang University of Technology, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I55712492","https://openalex.org/I4402554164"]},{"raw_affiliation_string":"Science Department, Zhijiang College of Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492","https://openalex.org/I4402554164"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100432721"],"corresponding_institution_ids":["https://openalex.org/I198645480","https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.2886,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62690041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"12","first_page":"998","last_page":"1008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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/T11757","display_name":"Seismic Waves and Analysis","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flattening","display_name":"Flattening","score":0.7924176454544067},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5645238161087036},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5246812701225281},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5065034627914429},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42638272047042847},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3720046877861023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3221614360809326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13928356766700745}],"concepts":[{"id":"https://openalex.org/C19444555","wikidata":"https://www.wikidata.org/wiki/Q212750","display_name":"Flattening","level":2,"score":0.7924176454544067},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5645238161087036},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5246812701225281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5065034627914429},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42638272047042847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3720046877861023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3221614360809326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13928356766700745},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/jzus.c0910732","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c0910732","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W907047999","https://openalex.org/W1035738364","https://openalex.org/W1633205748","https://openalex.org/W1679644037","https://openalex.org/W1966764326","https://openalex.org/W1979480820","https://openalex.org/W1979525683","https://openalex.org/W1982772190","https://openalex.org/W1990383532","https://openalex.org/W2007657616","https://openalex.org/W2021086830","https://openalex.org/W2028649221","https://openalex.org/W2037953345","https://openalex.org/W2039057361","https://openalex.org/W2041249013","https://openalex.org/W2042761556","https://openalex.org/W2048403942","https://openalex.org/W2048618749","https://openalex.org/W2065369632","https://openalex.org/W2067043246","https://openalex.org/W2078272972","https://openalex.org/W2088429582","https://openalex.org/W2096715107","https://openalex.org/W2134154463","https://openalex.org/W3145135485","https://openalex.org/W6652469117"],"related_works":["https://openalex.org/W2912679009","https://openalex.org/W4306953388","https://openalex.org/W2504233681","https://openalex.org/W2057996673","https://openalex.org/W1597420886","https://openalex.org/W2883819976","https://openalex.org/W2057170938","https://openalex.org/W4210327724","https://openalex.org/W2052109794","https://openalex.org/W2074759558"],"abstract_inverted_index":{"Flattening":[0],"of":[1],"the":[2,23,39,66,73,92],"interfaces":[3,35],"is":[4,50,79,98],"necessary":[5],"in":[6,13,32,100,106],"computing":[7],"wave":[8,103],"propagation":[9,104],"along":[10],"stratified":[11],"waveguides":[12,70,109],"large":[14],"range":[15],"step":[16],"sizes":[17],"while":[18],"using":[19],"marching":[20],"methods.":[21],"When":[22],"supposition":[24],"that":[25],"there":[26],"exists":[27],"one":[28],"horizontal":[29],"straight":[30],"line":[31],"two":[33],"adjacent":[34],"does":[36],"not":[37,51],"hold,":[38],"previously":[40],"suggested":[41],"local":[42],"orthogonal":[43],"transform":[44,59,63],"method":[45,97],"with":[46,110],"an":[47,61,83],"analytical":[48],"formulation":[49],"feasible.":[52],"This":[53,96],"paper":[54],"presents":[55],"a":[56,111],"numerical":[57],"coordinate":[58],"and":[60],"equation":[62],"to":[64,82],"perform":[65],"transforms":[67],"numerically":[68],"for":[69],"without":[71],"satisfying":[72],"supposition.":[74],"The":[75],"boundary":[76],"value":[77,85],"problem":[78,86],"then":[80],"reduced":[81],"initial":[84],"by":[87],"one-way":[88],"reformulation":[89],"based":[90],"on":[91],"Dirichlet-to-Neumann":[93],"(DtN)":[94],"map.":[95],"applicable":[99],"solving":[101],"long-range":[102],"problems":[105],"slowly":[107],"varying":[108],"multilayered":[112],"medium":[113],"structure.":[114]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}