{"id":"https://openalex.org/W4403783114","doi":"https://doi.org/10.2139/ssrn.5000368","title":"A Novel Direct Helmholtz Solver in Inhomogeneous Media Based on the Operator Fourier Transform Functional Calculus","display_name":"A Novel Direct Helmholtz Solver in Inhomogeneous Media Based on the Operator Fourier Transform Functional Calculus","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403783114","doi":"https://doi.org/10.2139/ssrn.5000368"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.5000368","doi":"https://doi.org/10.2139/ssrn.5000368","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5000368","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.5000368","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091367733","display_name":"Max Cubillos","orcid":"https://orcid.org/0000-0002-7583-8305","observed_orcids":["https://orcid.org/0000-0002-7583-8305"]},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]},{"id":"https://openalex.org/I2799950915","display_name":"Wright-Patterson Air Force Base","ror":"https://ror.org/0097e1k27","country_code":"US","type":"other","lineage":["https://openalex.org/I1330347796","https://openalex.org/I2799950915","https://openalex.org/I4210089612","https://openalex.org/I4210102105"]},{"id":"https://openalex.org/I4388482690","display_name":"Wright Laboratory","ror":"https://ror.org/03jvtcb24","country_code":"US","type":"government","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4388482690","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max Cubillos","raw_affiliation_strings":["Wright Patterson Air Force Base - Air Force Research Laboratory","Wright Patterson Air Force Base - Air Force Research Laboratory, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wright Patterson Air Force Base - Air Force Research Laboratory","institution_ids":["https://openalex.org/I1280414376","https://openalex.org/I2799950915"]},{"raw_affiliation_string":"Wright Patterson Air Force Base - Air Force Research Laboratory, United States","institution_ids":["https://openalex.org/I1280414376","https://openalex.org/I2799950915","https://openalex.org/I4388482690"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057118218","display_name":"Edwin Jimenez","orcid":"https://orcid.org/0000-0001-8184-5790","observed_orcids":["https://orcid.org/0000-0001-8184-5790"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Edwin Jimenez","raw_affiliation_strings":["Independent  - affiliation not provided to SSRN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent  - affiliation not provided to SSRN","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057118218"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.7592999935150146,"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":0.7592999935150146,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.08969999849796295,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.025699999183416367,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.9819999933242798},{"id":"https://openalex.org/keywords/heterogeneous-media","display_name":"heterogeneous media","score":0.8309999704360962},{"id":"https://openalex.org/keywords/pseudodifferential-operators","display_name":"pseudodifferential operators","score":0.9449999928474426},{"id":"https://openalex.org/keywords/paraxial-equation","display_name":"paraxial equation","score":0.7519999742507935},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"wave propagation","score":0.43299999833106995},{"id":"https://openalex.org/keywords/plane-wave-scattering","display_name":"plane wave scattering","score":0.9010000228881836},{"id":"https://openalex.org/keywords/turbulent-channel-flow","display_name":"turbulent channel flow","score":0.8379999995231628},{"id":"https://openalex.org/keywords/luneburg-lens","display_name":"Luneburg lens","score":0.8980000019073486},{"id":"https://openalex.org/keywords/gradient-index-optics","display_name":"gradient-index optics","score":0.703000009059906},{"id":"https://openalex.org/keywords/unbounded-domains","display_name":"unbounded domains","score":0.640999972820282},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"alternating direction implicit method","score":0.7630000114440918},{"id":"https://openalex.org/keywords/quadrature","display_name":"quadrature","score":0.7639999985694885}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6404212713241577},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6137551069259644},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5951710939407349},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5582712292671204},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5246391892433167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4638051986694336},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43509453535079956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37049251794815063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3561481237411499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22154933214187622},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21674147248268127},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.5000368","doi":"https://doi.org/10.2139/ssrn.5000368","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5000368","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.5000368","doi":"https://doi.org/10.2139/ssrn.5000368","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5000368","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W4509327","https://openalex.org/W1489216560","https://openalex.org/W1974991834","https://openalex.org/W1976538983","https://openalex.org/W2002563415","https://openalex.org/W2024381649","https://openalex.org/W2037048184","https://openalex.org/W2042015995","https://openalex.org/W2074899029","https://openalex.org/W2095572167","https://openalex.org/W2098102734","https://openalex.org/W2104899982","https://openalex.org/W2122861381","https://openalex.org/W2188147512","https://openalex.org/W2804813293","https://openalex.org/W2810190112","https://openalex.org/W2921111139","https://openalex.org/W2963292939","https://openalex.org/W2981556856","https://openalex.org/W3003549782","https://openalex.org/W3130013292","https://openalex.org/W4292321536","https://openalex.org/W4409796086"],"related_works":["https://openalex.org/W2519086535","https://openalex.org/W7147407178","https://openalex.org/W4409208683","https://openalex.org/W2786042345","https://openalex.org/W2056290822","https://openalex.org/W2326217020","https://openalex.org/W1481949014","https://openalex.org/W2030528690","https://openalex.org/W2122095750","https://openalex.org/W2890649584"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-10-26T00:00:00"}