{"id":"https://openalex.org/W4382490571","doi":"https://doi.org/10.1109/access.2023.3273783","title":"Design of Parameters of Fast Fourier Transform for Three-Dimensional Split Step Parabolic Equations and Mirror Kirchhoff Approximation","display_name":"Design of Parameters of Fast Fourier Transform for Three-Dimensional Split Step Parabolic Equations and Mirror Kirchhoff Approximation","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4382490571","doi":"https://doi.org/10.1109/access.2023.3273783"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3273783","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3273783","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10121029.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":null,"license_id":null,"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/ielx7/6287639/10005208/10121029.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069742106","display_name":"Xin Du","orcid":"https://orcid.org/0000-0001-6359-2419"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Xin Du","raw_affiliation_strings":["Department of Transdisciplinary Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0001-6359-2419","affiliations":[{"raw_affiliation_string":"Department of Transdisciplinary Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025447890","display_name":"Jun\u2010ichi Takada","orcid":"https://orcid.org/0000-0002-9108-3010"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jun-Ichi Takada","raw_affiliation_strings":["Department of Transdisciplinary Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-9108-3010","affiliations":[{"raw_affiliation_string":"Department of Transdisciplinary Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069742106"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":5.6377,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.95349729,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"11","issue":null,"first_page":"44964","last_page":"44976"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13121","display_name":"Radio Wave Propagation Studies","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T13121","display_name":"Radio Wave Propagation Studies","score":0.9951000213623047,"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/T11234","display_name":"Precipitation Measurement and Analysis","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9847000241279602,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6416600942611694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46715301275253296},{"id":"https://openalex.org/keywords/parabolic-reflector","display_name":"Parabolic reflector","score":0.4660640358924866},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4388089179992676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3685155510902405},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3475213348865509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3254256844520569},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.298212468624115},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.21657928824424744}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6416600942611694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46715301275253296},{"id":"https://openalex.org/C116903202","wikidata":"https://www.wikidata.org/wiki/Q1087850","display_name":"Parabolic reflector","level":2,"score":0.4660640358924866},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4388089179992676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3685155510902405},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3475213348865509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3254256844520569},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.298212468624115},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.21657928824424744}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3273783","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3273783","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10121029.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:df93a652c7904ee1a55fad49d0f71ca5","is_oa":true,"landing_page_url":"https://doaj.org/article/df93a652c7904ee1a55fad49d0f71ca5","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 11, Pp 44964-44976 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3273783","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3273783","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10121029.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":null,"license_id":null,"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/G614938654","display_name":null,"funder_award_id":"02701","funder_id":"https://openalex.org/F4320335839","funder_display_name":"National Institute of Information and Communications Technology"}],"funders":[{"id":"https://openalex.org/F4320324891","display_name":"Iran Telecommunication Research Center","ror":"https://ror.org/01a3g2z22"},{"id":"https://openalex.org/F4320335839","display_name":"National Institute of Information and Communications Technology","ror":"https://ror.org/016bgq349"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382490571.pdf","grobid_xml":"https://content.openalex.org/works/W4382490571.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1507413134","https://openalex.org/W1524573041","https://openalex.org/W1540918915","https://openalex.org/W1626273499","https://openalex.org/W1912918041","https://openalex.org/W1980748637","https://openalex.org/W1991258281","https://openalex.org/W2006984307","https://openalex.org/W2018543755","https://openalex.org/W2036074710","https://openalex.org/W2054692642","https://openalex.org/W2058421008","https://openalex.org/W2070291256","https://openalex.org/W2078926046","https://openalex.org/W2081822950","https://openalex.org/W2091755236","https://openalex.org/W2102248642","https://openalex.org/W2103851250","https://openalex.org/W2111460811","https://openalex.org/W2112499881","https://openalex.org/W2130912092","https://openalex.org/W2135683497","https://openalex.org/W2138020668","https://openalex.org/W2147627589","https://openalex.org/W2167835257","https://openalex.org/W2281465300","https://openalex.org/W2327484066","https://openalex.org/W2480255967","https://openalex.org/W2540454223","https://openalex.org/W2784014722","https://openalex.org/W2898674040","https://openalex.org/W2924858838","https://openalex.org/W2955897898","https://openalex.org/W2962716476","https://openalex.org/W3200597395","https://openalex.org/W3202199688","https://openalex.org/W4214659287","https://openalex.org/W4247036078","https://openalex.org/W4366336652","https://openalex.org/W6729103329","https://openalex.org/W6801700724"],"related_works":["https://openalex.org/W4383889695","https://openalex.org/W2094759408","https://openalex.org/W2967276674","https://openalex.org/W2059638863","https://openalex.org/W4386740908","https://openalex.org/W2146979064","https://openalex.org/W2516295475","https://openalex.org/W2766639751","https://openalex.org/W2416868275","https://openalex.org/W2390401148"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"the":[3,7,13,22,30,36,39,49,52,57,61,65,69,73,77,85,88,94,98,103,107,111,115,128,135,139,146,152,162,181,194,211,217,244,249],"simulation":[4,89],"parameters":[5,50,154,219],"of":[6,87,151,184,231],"fast":[8],"Fourier":[9],"transform":[10],"(FFT)":[11],"for":[12,48,110,164],"3-dimensional":[14],"(3D)":[15],"split":[16],"step":[17],"parabolic":[18],"equation":[19],"(SSPE)":[20],"and":[21,41,72,79,102,127,157,169,180,199,204,213,243,259],"mirror":[23],"Kirchhoff":[24,177],"approximation":[25,178],"(MKA).":[26],"The":[27,45,91,149,159,207],"SSPE/MKA":[28,215],"calculates":[29],"forward":[31],"scattering":[32],"by":[33,173,192,236],"repeatedly":[34],"applying":[35],"FFT":[37],"between":[38,257],"space":[40,70,78,108,116],"angular":[42,62,80,99,136],"spectral":[43,63,81,100,137],"domains.":[44],"lacking":[46],"designs":[47],"in":[51,60,68,76,97,106],"3D":[53,112,120,147,214],"SSPE/MKA,":[54],"such":[55],"as":[56],"sampling":[58,95],"interval":[59,96],"domain,":[64,71,117,138],"truncation":[66,104],"size":[67,105],"windowing":[74,121,141],"functions":[75],"domains,":[82],"have":[83],"motivated":[84],"establishment":[86],"parameters.":[90],"authors":[92,160],"design":[93],"domain":[101,109],"SSPE/MKA.":[113],"In":[114,134],"a":[118,124,165,170,175,185,222,227,240,254],"novel":[119],"function":[122,142],"combining":[123],"raised-cosine":[125],"filter":[126],"Fresnel":[129],"zone":[130],"number":[131],"is":[132,143,262],"proposed.":[133],"rectangular":[140],"extended":[144],"to":[145],"problem.":[148],"details":[150],"proposed":[153,197,218],"are":[155,190],"introduced":[156],"explained.":[158],"validate":[161],"proposals":[163],"circular":[166],"absorber":[167],"screen":[168],"dielectric":[171,186],"sphere":[172],"using":[174],"reference":[176,241],"(KA)":[179],"exact":[182,245],"solution":[183],"sphere,":[187],"respectively.":[188,247],"Simulations":[189],"conducted":[191],"varying":[193],"object\u2019s":[195],"locations,":[196],"parameters,":[198],"frequencies":[200],"at":[201],"millimeter":[202],"waves":[203],"terahertz":[205],"bands.":[206],"results":[208],"show":[209],"that":[210],"KA":[212,242],"with":[216,239],"can":[220,252],"present":[221],"good":[223,255],"accuracy,":[224],"which":[225,251],"has":[226],"low":[228],"root-mean-square":[229],"error":[230],"less":[232],"than":[233],"1":[234],"dB":[235],"comparing":[237],"them":[238],"solution,":[246],"Furthermore,":[248],"parameter,":[250],"achieve":[253],"balance":[256],"accuracy":[258],"computational":[260],"time,":[261],"designed.":[263]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
