{"id":"https://openalex.org/W2136294866","doi":"https://doi.org/10.1109/igarss.2007.4422735","title":"Comparison of different separable basis functions for the application of the Method of Moments on rough surface scattering","display_name":"Comparison of different separable basis functions for the application of the Method of Moments on rough surface scattering","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2136294866","doi":"https://doi.org/10.1109/igarss.2007.4422735","mag":"2136294866"},"language":"en","primary_location":{"id":"doi:10.1109/igarss.2007.4422735","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2007.4422735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Geoscience and Remote Sensing Symposium","raw_type":"proceedings-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/A5055844724","display_name":"Jos\u00e9 Luis \u00c1lvarez-P\u00e9rez","orcid":"https://orcid.org/0000-0002-3124-6121"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. L. Alvarez-Perez","raw_affiliation_strings":["Department of Signal Theory and Communications, Universidad de Alcal\u00e1, Madrid, Spain","Univ. de Alcala, Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signal Theory and Communications, Universidad de Alcal\u00e1, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]},{"raw_affiliation_string":"Univ. de Alcala, Madrid","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010431685","display_name":"M. Vall\u2010llossera","orcid":"https://orcid.org/0000-0003-1357-7098"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Vall-llossera","raw_affiliation_strings":["Department of Signal Theory and Communications, Universitat Polilt\u00e8cnica de Catalunya, Barcelona, Spain","Dept. of Signal Theory and Communications (TSC), Universitat Polit\u00e8cnica de Catalunya (UPC), Jordi Girona 1-3, Edifici D3, E-08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signal Theory and Communications, Universitat Polilt\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dept. of Signal Theory and Communications (TSC), Universitat Polit\u00e8cnica de Catalunya (UPC), Jordi Girona 1-3, Edifici D3, E-08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006339091","display_name":"Jos\u00e9 Carlos Nieto Borge","orcid":"https://orcid.org/0000-0002-3158-3822"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. C. Nieto-Borge","raw_affiliation_strings":["Department of Signal Theory and Communications, Universidad de Alcal\u00e1, Madrid, Spain","Dept. of Signal Theory and Communications (TSC), Universidad de Alcal\u00e0, Campus Universitario s/n, E-28871 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signal Theory and Communications, Universidad de Alcal\u00e1, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]},{"raw_affiliation_string":"Dept. of Signal Theory and Communications (TSC), Universidad de Alcal\u00e0, Campus Universitario s/n, E-28871 Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20750791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":null,"first_page":"81","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9959999918937683,"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/basis-function","display_name":"Basis function","score":0.756621778011322},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.659396767616272},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.6286106705665588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5490855574607849},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5087907910346985},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4982442855834961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4748414158821106},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.47289836406707764},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.46122580766677856},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.4477512836456299},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4239214360713959},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4203084111213684},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2618646025657654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24206721782684326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19659337401390076},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14436236023902893},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.09433656930923462}],"concepts":[{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.756621778011322},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.659396767616272},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.6286106705665588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5490855574607849},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5087907910346985},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4982442855834961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4748414158821106},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.47289836406707764},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.46122580766677856},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.4477512836456299},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4239214360713959},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4203084111213684},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2618646025657654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24206721782684326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19659337401390076},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14436236023902893},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.09433656930923462},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/igarss.2007.4422735","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2007.4422735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Geoscience and Remote Sensing Symposium","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1515302430","https://openalex.org/W1555515780","https://openalex.org/W1661217331","https://openalex.org/W1966475972"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2130622405","https://openalex.org/W2109887391","https://openalex.org/W2261723062","https://openalex.org/W1965917633","https://openalex.org/W1819996744"],"abstract_inverted_index":{"The":[0],"basis":[1,133,148,174],"functions":[2,134,149,194],"that":[3],"are":[4,150],"most":[5],"commonly":[6],"used":[7],"in":[8,25,37,77,203],"the":[9,15,28,31,38,67,72,78,80,83,86,89,100,107,113,122,125,147,155,187],"method":[10,189],"of":[11,17,27,33,69,71,82,112,120,124,128,154,163,175,190,205],"moments":[12,191],"(MoM)":[13],"for":[14,85,91],"simulation":[16],"rough":[18],"surface":[19,39,90,156],"scattering":[20],"have":[21],"a":[22,48,54,92,136,140,144,151,160,173,200],"small":[23],"support":[24,138],"terms":[26,164,204],"wavelength.":[29,145],"Complementary,":[30],"density":[32],"points":[34],"per":[35],"wavelength":[36],"mesh":[40],"has":[41],"to":[42,46,66,74,115,131,167,186],"be":[43,60,75,116],"high":[44],"enough":[45],"guarantee":[47],"good":[49,152],"accuracy":[50],"and":[51,97,99,158,195],"this":[52,180],"implies":[53],"computational":[55],"effort":[56],"which":[57],"can":[58],"often":[59],"excessive.":[61],"Several":[62],"factors":[63],"contribute":[64],"directly":[65],"number":[68,162],"unknowns":[70,129],"matrix":[73],"inverted":[76],"MoM:":[79],"value":[81],"permittivity":[84],"medium":[87],"below":[88],"dielectric":[93],"case,":[94],"its":[95],"dimensionality":[96],"size":[98],"incident":[101],"or":[102,109],"observation":[103],"angle,":[104],"depending":[105],"on":[106,199],"active":[108],"passive":[110],"character":[111],"observables":[114],"calculated.":[117],"One":[118],"way":[119],"overcoming":[121],"difficulty":[123],"exponential":[126],"growth":[127],"is":[130,165],"use":[132],"with":[135,192],"global":[137],"over":[139],"region":[141],"larger":[142],"than":[143,170],"If":[146],"representation":[153,202],"fields":[157],"currents,":[159],"fewer":[161],"needed":[166],"represent":[168],"them":[169],"when":[171],"using":[172],"very":[176],"localized":[177],"functions.":[178,207],"In":[179],"work":[181],"we":[182],"present":[183],"an":[184],"alternative":[185],"classical":[188],"pulse":[193],"point":[196],"matching,":[197],"based":[198],"spectral":[201],"Bessel":[206]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
