{"id":"https://openalex.org/W3164377257","doi":"https://doi.org/10.1109/access.2021.3092171","title":"NDF of the Near-Zone Field on a Line Perpendicular to the Source","display_name":"NDF of the Near-Zone Field on a Line Perpendicular to the Source","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3164377257","doi":"https://doi.org/10.1109/access.2021.3092171","mag":"3164377257"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3092171","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3092171","pdf_url":null,"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://doi.org/10.1109/access.2021.3092171","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083258404","display_name":"Rocco Pierri","orcid":"https://orcid.org/0000-0002-5861-5388"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Rocco Pierri","raw_affiliation_strings":["Department of Engineering, University of Campania \u201cLuigi Vanvitelli,\u201d, Aversa, Italy","Department of Engineering, University of Campania \"Luigi Vanvitelli,\", Aversa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5861-5388","affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Campania \u201cLuigi Vanvitelli,\u201d, Aversa, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Engineering, University of Campania \"Luigi Vanvitelli,\", Aversa, Italy","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003977798","display_name":"Raffaele Moretta","orcid":"https://orcid.org/0000-0002-9180-7592"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Moretta","raw_affiliation_strings":["Department of Engineering, University of Campania \u201cLuigi Vanvitelli,\u201d, Aversa, Italy","Department of Engineering, University of Campania \"Luigi Vanvitelli,\", Aversa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9180-7592","affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Campania \u201cLuigi Vanvitelli,\u201d, Aversa, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Engineering, University of Campania \"Luigi Vanvitelli,\", Aversa, Italy","institution_ids":["https://openalex.org/I197809005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083258404"],"corresponding_institution_ids":["https://openalex.org/I197809005"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8135,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71672901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"91649","last_page":"91660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9998999834060669,"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/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9998999834060669,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994999766349792,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/operator","display_name":"Operator (biology)","score":0.7509254217147827},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7175852656364441},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5805650353431702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5761349201202393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5428327322006226},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5371580123901367},{"id":"https://openalex.org/keywords/self-adjoint-operator","display_name":"Self-adjoint operator","score":0.48782041668891907},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.4186983108520508},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2712603807449341},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16195333003997803},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10934099555015564}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7509254217147827},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7175852656364441},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5805650353431702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5761349201202393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5428327322006226},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5371580123901367},{"id":"https://openalex.org/C171972299","wikidata":"https://www.wikidata.org/wiki/Q6500908","display_name":"Self-adjoint operator","level":3,"score":0.48782041668891907},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4186983108520508},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2712603807449341},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16195333003997803},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10934099555015564},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3092171","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3092171","pdf_url":null,"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:58b7722aaded4b6eb32fe338322fcd03","is_oa":true,"landing_page_url":"https://doaj.org/article/58b7722aaded4b6eb32fe338322fcd03","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 91649-91660 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3092171","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3092171","pdf_url":null,"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":[{"score":0.800000011920929,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1514248469","https://openalex.org/W1549451790","https://openalex.org/W1687080872","https://openalex.org/W1969266036","https://openalex.org/W1972132394","https://openalex.org/W1979154798","https://openalex.org/W1987484735","https://openalex.org/W1996356825","https://openalex.org/W2012394000","https://openalex.org/W2014731949","https://openalex.org/W2017141126","https://openalex.org/W2022068744","https://openalex.org/W2051366653","https://openalex.org/W2054242925","https://openalex.org/W2067111814","https://openalex.org/W2076138621","https://openalex.org/W2091414511","https://openalex.org/W2102748208","https://openalex.org/W2107929242","https://openalex.org/W2109277554","https://openalex.org/W2115163504","https://openalex.org/W2124164696","https://openalex.org/W2134118656","https://openalex.org/W2134477423","https://openalex.org/W2163233230","https://openalex.org/W2172067550","https://openalex.org/W2173793530","https://openalex.org/W2579663280","https://openalex.org/W2758408124","https://openalex.org/W2790451702","https://openalex.org/W2908420611","https://openalex.org/W2935837355","https://openalex.org/W2938669437","https://openalex.org/W2944784493","https://openalex.org/W2949302654","https://openalex.org/W2966545402","https://openalex.org/W2969752439","https://openalex.org/W2971697891","https://openalex.org/W3004529301","https://openalex.org/W3031164837","https://openalex.org/W3044316910","https://openalex.org/W3098758812","https://openalex.org/W3159939610","https://openalex.org/W4285719527","https://openalex.org/W4388254181","https://openalex.org/W6767230382"],"related_works":["https://openalex.org/W2389530697","https://openalex.org/W2315023318","https://openalex.org/W2982247499","https://openalex.org/W1934192076","https://openalex.org/W1990844505","https://openalex.org/W2159849569","https://openalex.org/W2391313426","https://openalex.org/W4390725884","https://openalex.org/W4296585688","https://openalex.org/W1605684283"],"abstract_inverted_index":{"In":[0],"this":[1,79,94],"paper,":[2],"the":[3,7,15,24,29,36,41,47,63,66,69,85,89,117,122,125,130,134,137,142,150,153,163],"problem":[4,72,108],"of":[5,9,11,14,43,46,68,88,124,136,152],"computing":[6],"number":[8,42],"degrees":[10],"freedom":[12],"(NDF)":[13],"field":[16,155],"radiated":[17,154],"by":[18,160],"a":[19,53,96],"strip":[20],"current":[21],"along":[22],"all":[23],"possible":[25],"lines":[26],"orthogonal":[27],"to":[28,40,162],"source":[30],"is":[31,38,73,100,111],"addressed.":[32],"As":[33],"well":[34],"known,":[35],"NDF":[37,151],"equal":[39],"singular":[44,86,126,138],"values":[45,87,139],"radiation":[48,90],"operator":[49,99],"that":[50],"are":[51],"before":[52],"critical":[54,143],"index":[55,144],"at":[56,116,145],"which":[57,146],"they":[58,147],"abrupt":[59,148],"decay.":[60],"Unfortunately,":[61],"in":[62,76,113],"considered":[64],"case,":[65],"solution":[67,110],"associate":[70],"eigenvalue":[71,107],"not":[74,141],"known":[75,112],"closed-form,":[77],"and":[78],"prevents":[80],"us":[81],"from":[82],"directly":[83],"evaluating":[84],"operator.":[91,166],"To":[92],"overcome":[93],"drawback,":[95],"weighted":[97,164],"adjoint":[98,165],"exploited.":[101],"The":[102],"latter":[103],"allows":[104],"obtaining":[105],"an":[106],"whose":[109],"closed-form":[114],"but,":[115],"same":[118],"time,":[119],"it":[120],"modifies":[121],"behavior":[123],"values.":[127],"However,":[128],"since":[129],"change":[131],"affects":[132],"only":[133],"dynamics":[135],"but":[140],"decay,":[149],"can":[156],"be":[157],"analytically":[158],"estimated":[159],"resorting":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
