{"id":"https://openalex.org/W3156560887","doi":"https://doi.org/10.1109/access.2021.3073901","title":"Variant Characteristic Mode Equations Using Different Power Operators for Material Bodies","display_name":"Variant Characteristic Mode Equations Using Different Power Operators for Material Bodies","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3156560887","doi":"https://doi.org/10.1109/access.2021.3073901","mag":"3156560887"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3073901","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073901","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09406797.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09406797.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063740934","display_name":"Xingyue Guo","orcid":"https://orcid.org/0000-0002-9073-4213"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing-Yue Guo","raw_affiliation_strings":["Department of Electronics, Peking University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9073-4213","affiliations":[{"raw_affiliation_string":"Department of Electronics, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003629103","display_name":"Ren-Zun Lian","orcid":"https://orcid.org/0000-0002-8800-3577"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ren-Zun Lian","raw_affiliation_strings":["Department of Electronics, Peking University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8800-3577","affiliations":[{"raw_affiliation_string":"Department of Electronics, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036637225","display_name":"Ming\u2010Yao Xia","orcid":"https://orcid.org/0000-0001-9512-9410"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Yao Xia","raw_affiliation_strings":["Department of Electronics, Peking University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9512-9410","affiliations":[{"raw_affiliation_string":"Department of Electronics, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.9927,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86629443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"62021","last_page":"62028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10262","display_name":"Microwave Engineering and Waveguides","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"}}],"keywords":[{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.8312558531761169},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6533649563789368},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6208456754684448},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5865868926048279},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5083774924278259},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4995999336242676},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4939959645271301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49274304509162903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48797720670700073},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4688614010810852},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4348524212837219},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.4219769835472107},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.42048805952072144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35437893867492676},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3490970730781555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33510303497314453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.244005024433136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2257881760597229},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.07809421420097351}],"concepts":[{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.8312558531761169},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6533649563789368},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6208456754684448},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5865868926048279},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5083774924278259},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4995999336242676},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4939959645271301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49274304509162903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48797720670700073},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4688614010810852},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4348524212837219},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.4219769835472107},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.42048805952072144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35437893867492676},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3490970730781555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33510303497314453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.244005024433136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2257881760597229},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.07809421420097351},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3073901","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073901","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09406797.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:82fcca65b44541c49e3c6f373b81bcd0","is_oa":true,"landing_page_url":"https://doaj.org/article/82fcca65b44541c49e3c6f373b81bcd0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 62021-62028 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3073901","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073901","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09406797.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8814498628","display_name":null,"funder_award_id":"61531001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3156560887.pdf","grobid_xml":"https://content.openalex.org/works/W3156560887.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1563154332","https://openalex.org/W1944197774","https://openalex.org/W1976538210","https://openalex.org/W2002189464","https://openalex.org/W2146212892","https://openalex.org/W2158792438","https://openalex.org/W2212805855","https://openalex.org/W2294000622","https://openalex.org/W2396372128","https://openalex.org/W2497417700","https://openalex.org/W2750069430","https://openalex.org/W2792053784","https://openalex.org/W2801119662","https://openalex.org/W2899517654","https://openalex.org/W2922149192","https://openalex.org/W2955491419","https://openalex.org/W2997160841","https://openalex.org/W3089690660","https://openalex.org/W3103146588"],"related_works":["https://openalex.org/W3113091479","https://openalex.org/W2162899405","https://openalex.org/W941090075","https://openalex.org/W2044987316","https://openalex.org/W3134374554","https://openalex.org/W2237480245","https://openalex.org/W2075065631","https://openalex.org/W2519167559","https://openalex.org/W4311248832","https://openalex.org/W4386113923"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4],"the":[5,33,66,71,82,88,95,103,121,127,131,170],"electromagnetic":[6],"theory":[7],"of":[8,98,169],"characteristic":[9],"modes":[10,68,160],"for":[11,145],"general":[12],"homogeneous":[13],"material":[14,89,128],"bodies":[15],"using":[16,27],"surface":[17],"integral":[18,29],"equations":[19,30,36],"(SIEs),":[20],"which":[21,139],"are":[22,41,62,117],"computationally":[23],"more":[24],"efficient":[25],"than":[26],"volume":[28],"(VIEs).":[31],"However,":[32],"generalized":[34],"eigenvalue":[35],"(GEEs)":[37],"based":[38,52],"on":[39,53,130],"SIEs":[40],"prone":[42],"to":[43,64,87,110,126,134],"generate":[44,157],"spurious":[45],"or":[46],"extra":[47],"modes,":[48],"unlike":[49],"their":[50],"counterparts":[51],"VIEs.":[54],"In":[55],"this":[56],"work,":[57],"several":[58],"variant":[59,75,115,153],"SIE-based":[60],"GEEs":[61,76,99,116,154],"proposed":[63],"eliminate":[65],"spurious/extra":[67,158],"and":[69,165],"improve":[70],"numerical":[72,175],"performances.":[73],"These":[74,114],"share":[77],"a":[78],"common":[79],"point":[80],"that":[81,151],"reactive":[83],"power":[84,123],"operator":[85,124],"related":[86,125],"domain":[90,129],"should":[91],"be":[92,142],"removed":[93],"from":[94],"left-hand":[96],"sides":[97,133],"by":[100],"explicitly":[101],"enforcing":[102],"boundary":[104],"condition,":[105],"because":[106],"it":[107],"seems":[108],"sensitive":[109],"incur":[111],"unwanted":[112],"modes.":[113],"diverse":[118],"in":[119,161],"choosing":[120],"active":[122],"right-hand":[132],"suit":[135],"different":[136],"medium":[137],"parameters,":[138],"even":[140],"can":[141],"dropped":[143],"directly":[144],"lossless":[146],"cases.":[147],"Numerical":[148],"results":[149],"show":[150],"these":[152],"do":[155],"not":[156],"resonant":[159],"observed":[162],"frequency":[163],"range,":[164],"at":[166],"least":[167],"one":[168],"variants":[171],"would":[172],"have":[173],"acceptable":[174],"accuracy.":[176]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}