{"id":"https://openalex.org/W1991595944","doi":"https://doi.org/10.1137/0153034","title":"The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections","display_name":"The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections","publication_year":1993,"publication_date":"1993-06-01","ids":{"openalex":"https://openalex.org/W1991595944","doi":"https://doi.org/10.1137/0153034","mag":"1991595944"},"language":"en","primary_location":{"id":"doi:10.1137/0153034","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153034","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5045091876","display_name":"V. P. Smyshlyaev","orcid":"https://orcid.org/0000-0002-5209-2272"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Valery P. Smyshlyaev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5045091876"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6854,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.61758496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"3","first_page":"670","last_page":"688"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9922999739646912,"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/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9908000230789185,"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/diffraction","display_name":"Diffraction","score":0.7826590538024902},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5902188420295715},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5389969348907471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5317280292510986},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.49869823455810547},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.45092225074768066},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4493017792701721},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.4445652365684509},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4401164948940277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.393014132976532},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24020585417747498},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2251536250114441}],"concepts":[{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.7826590538024902},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5902188420295715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5389969348907471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5317280292510986},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.49869823455810547},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.45092225074768066},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4493017792701721},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.4445652365684509},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4401164948940277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.393014132976532},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24020585417747498},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2251536250114441},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0153034","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153034","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1323602","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1323602/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J APPL MATH , 53 (3) 670 - 688. (1993)","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1573761753","https://openalex.org/W1981574126","https://openalex.org/W2037667871","https://openalex.org/W2060881960","https://openalex.org/W2075760912","https://openalex.org/W2105809331","https://openalex.org/W2110168172","https://openalex.org/W2169164332","https://openalex.org/W2578805697","https://openalex.org/W4249449669","https://openalex.org/W4253934306"],"related_works":["https://openalex.org/W2049939404","https://openalex.org/W1519777678","https://openalex.org/W2034875467","https://openalex.org/W76811607","https://openalex.org/W2011121568","https://openalex.org/W4388316559","https://openalex.org/W1848405970","https://openalex.org/W2022428104","https://openalex.org/W2273780518","https://openalex.org/W2063290878"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,4,13,36,49,66,74,76,84,94,108,111],"diffraction":[3,85],"a":[5,60,80],"plane":[6],"polarized":[7],"wave":[8,98],"by":[9,100],"perfectly":[10],"conducting":[11],"cones":[12],"arbitrary":[14],"cross":[15],"sections":[16],"is":[17,31,87],"considered.":[18],"Using":[19],"the":[20,25,28,34,40,44,50,64,67,72,77,92,95,101,112,122],"Debye":[21],"scalar":[22],"potentials":[23],"and":[24,43,71],"Sommerfeld":[26],"transformation,":[27],"exact":[29],"solution":[30],"constructed":[32],"in":[33,59,106],"form":[35],"Sommerfeld\u2019s":[37,57],"integrals":[38,58],"with":[39],"standard":[41],"phase":[42,69],"functions":[45],"on":[46,115],"subdomain":[47],"N":[48,116],"unit":[51],"sphere":[52],"as":[53],"amplitudes.":[54],"By":[55],"investigating":[56],"high-frequency":[61],"approximation":[62],"using":[63],"combination":[65],"stationary":[68],"method":[70],"propagation":[73],"singularities":[75],"amplitude":[78,93],"analysis,":[79],"rather":[81],"complete":[82],"description":[83],"processes":[86],"obtained.":[88],"The,":[89],"formulae":[90],"for":[91],"spherical":[96],"outgoing":[97],"diffracted":[99],"cone\u2019s":[102],"vertex":[103],"are":[104,118],"obtained":[105],"terms":[107],"spectral":[109],"characteristics":[110],"Beltrami\u2013Laplace":[113],"operator":[114],"Examples":[117],"considered":[119],"to":[120],"illustrate":[121],"proposed":[123],"approach.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}
