{"id":"https://openalex.org/W2169507266","doi":"https://doi.org/10.1109/igarss.2003.1295467","title":"Reflectivity of one-dimensional rough surfaces using the ray tracing technique with multiple reflections","display_name":"Reflectivity of one-dimensional rough surfaces using the ray tracing technique with multiple reflections","publication_year":2004,"publication_date":"2004-05-13","ids":{"openalex":"https://openalex.org/W2169507266","doi":"https://doi.org/10.1109/igarss.2003.1295467","mag":"2169507266"},"language":"en","primary_location":{"id":"doi:10.1109/igarss.2003.1295467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2003.1295467","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477)","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/A5040207988","display_name":"P. Schott","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Schott","raw_affiliation_strings":["Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I97188460","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112259975","display_name":"N. de Beaucoudrey","orcid":null},"institutions":[{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. de Beaucoudrey","raw_affiliation_strings":["Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I97188460","https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030710765","display_name":"Christophe Bourlier","orcid":"https://orcid.org/0000-0003-3482-4959"},"institutions":[{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Bourlier","raw_affiliation_strings":["Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire IRCCyN-UMR 6597 CNRS, Ecole Polytechnique de IUniversit\u00e9 de Nantes, Nantes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I97188460","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040207988"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I97188460"],"apc_list":null,"apc_paid":null,"fwci":0.2472,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.59309088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"4214","last_page":"4216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.9937000274658203,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9853000044822693,"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/ray-tracing","display_name":"Ray tracing (physics)","score":0.827745795249939},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.6422857046127319},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.6324918866157532},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6107611656188965},{"id":"https://openalex.org/keywords/reflectivity","display_name":"Reflectivity","score":0.5140537023544312},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5086892247200012},{"id":"https://openalex.org/keywords/distributed-ray-tracing","display_name":"Distributed ray tracing","score":0.5017223358154297},{"id":"https://openalex.org/keywords/geometrical-optics","display_name":"Geometrical optics","score":0.48015326261520386},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.44284048676490784},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.43787655234336853},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.42804333567619324},{"id":"https://openalex.org/keywords/physical-optics","display_name":"Physical optics","score":0.4137674570083618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34756892919540405},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3043707013130188},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2444249987602234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1691780388355255},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09896969795227051}],"concepts":[{"id":"https://openalex.org/C121483023","wikidata":"https://www.wikidata.org/wiki/Q7298343","display_name":"Ray tracing (physics)","level":2,"score":0.827745795249939},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.6422857046127319},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.6324918866157532},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6107611656188965},{"id":"https://openalex.org/C108597893","wikidata":"https://www.wikidata.org/wiki/Q663650","display_name":"Reflectivity","level":2,"score":0.5140537023544312},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5086892247200012},{"id":"https://openalex.org/C82744980","wikidata":"https://www.wikidata.org/wiki/Q951513","display_name":"Distributed ray tracing","level":3,"score":0.5017223358154297},{"id":"https://openalex.org/C110277352","wikidata":"https://www.wikidata.org/wiki/Q467980","display_name":"Geometrical optics","level":2,"score":0.48015326261520386},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.44284048676490784},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.43787655234336853},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.42804333567619324},{"id":"https://openalex.org/C154236941","wikidata":"https://www.wikidata.org/wiki/Q942347","display_name":"Physical optics","level":2,"score":0.4137674570083618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34756892919540405},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3043707013130188},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2444249987602234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1691780388355255},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09896969795227051},{"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/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/igarss.2003.1295467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2003.1295467","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W244729084","https://openalex.org/W1985056894","https://openalex.org/W2060807102","https://openalex.org/W2129365055","https://openalex.org/W2149314005"],"related_works":["https://openalex.org/W2131206267","https://openalex.org/W1970204942","https://openalex.org/W2105844176","https://openalex.org/W2143342294","https://openalex.org/W2022877472","https://openalex.org/W2773294162","https://openalex.org/W2525922448","https://openalex.org/W2229316873","https://openalex.org/W1961645221","https://openalex.org/W2782271278"],"abstract_inverted_index":{"In":[0,99],"this":[1],"paper,":[2],"the":[3,23,34,63,69,77,81,86,107,111],"reflectivity":[4,29],"with":[5,16],"multiple":[6],"reflections":[7],"of":[8],"an":[9],"one-dimensional":[10],"rough":[11],"dielectric":[12],"surface":[13,35,46],"is":[14,30,57,84,90,102],"computed":[15],"a":[17,41,50,58,103],"ray":[18],"tracing":[19],"method,":[20],"based":[21],"on":[22],"geometric":[24],"optics":[25],"approximation.":[26],"The":[27],"average":[28],"obtained":[31],"by":[32,48,115],"generating":[33],"from":[36],"Monte":[37],"Carlo":[38],"method.":[39,79],"For":[40],"single":[42],"reflection,":[43],"perfectly":[44],"conducting":[45],"and":[47,53,65,96,110],"assuming":[49],"Gaussian":[51],"process":[52],"height":[54],"correlation,":[55],"there":[56,101],"very":[59],"good":[60,104],"agreement":[61],"between":[62,106],"numerical":[64,78,108],"analytical":[66,112],"models,":[67],"including":[68],"shadowing":[70],"effect.":[71],"This":[72],"allows":[73],"us":[74],"to":[75],"validate":[76],"When":[80],"double":[82],"reflection":[83],"considered,":[85],"energy":[87],"conservation":[88],"test":[89],"improved":[91],"for":[92],"higher":[93],"rms":[94],"slope":[95],"incidence":[97],"angles.":[98],"addition,":[100],"concordance":[105],"method":[109],"model":[113],"provided":[114],"Lynch":[116],"et":[117],"al.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}