{"id":"https://openalex.org/W2000490469","doi":"https://doi.org/10.1029/rs021i005p00771","title":"Vector solution for the mean electromagnetic fields in a layer of random particles","display_name":"Vector solution for the mean electromagnetic fields in a layer of random particles","publication_year":1986,"publication_date":"1986-09-01","ids":{"openalex":"https://openalex.org/W2000490469","doi":"https://doi.org/10.1029/rs021i005p00771","mag":"2000490469"},"language":"en","primary_location":{"id":"doi:10.1029/rs021i005p00771","doi":"https://doi.org/10.1029/rs021i005p00771","is_oa":false,"landing_page_url":"https://doi.org/10.1029/rs021i005p00771","pdf_url":null,"source":{"id":"https://openalex.org/S116100596","display_name":"Radio Science","issn_l":"0048-6604","issn":["0048-6604","1944-799X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Radio Science","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2000490469"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5041574827","display_name":"Roger Henry Lang","orcid":"https://orcid.org/0000-0001-6081-5680","observed_orcids":["https://orcid.org/0000-0001-6081-5680"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. H. Lang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035604744","display_name":"Saban Selim Seker","orcid":"https://orcid.org/0000-0002-0980-3219","observed_orcids":["https://orcid.org/0000-0002-0980-3219"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. S. Seker","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110567394","display_name":"David M. LeVine","orcid":"https://orcid.org/0000-0002-9335-0741","observed_orcids":["https://orcid.org/0000-0002-9335-0741"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. M. LeVine","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3700,"currency":"USD","value_usd":3700},"apc_paid":null,"fwci":0.7476,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.63795791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"21","issue":"5","first_page":"771","last_page":"786"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.7314000129699707,"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":0.7314000129699707,"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/T13121","display_name":"Radio Wave Propagation Studies","score":0.09269999712705612,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.08449999988079071,"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/perturbation-theory","display_name":"perturbation theory","score":0.734000027179718},{"id":"https://openalex.org/keywords/randomly-oriented-particles","display_name":"randomly oriented particles","score":0.6039999723434448},{"id":"https://openalex.org/keywords/atmospheric-propagation","display_name":"atmospheric propagation","score":0.5260000228881836},{"id":"https://openalex.org/keywords/vegetation-remote-sensing","display_name":"remote sensing of vegetation","score":0.75}],"concepts":[{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6370779871940613},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.5984395742416382},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.588119626045227},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.5466582775115967},{"id":"https://openalex.org/C76969448","wikidata":"https://www.wikidata.org/wiki/Q6033855","display_name":"Inhomogeneous electromagnetic wave equation","level":4,"score":0.5380814075469971},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5107219219207764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47040873765945435},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.44488954544067383},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.4439353942871094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38089340925216675},{"id":"https://openalex.org/C154452299","wikidata":"https://www.wikidata.org/wiki/Q7098853","display_name":"Optical field","level":3,"score":0.21269527077674866},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16179043054580688},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11539620161056519},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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:10.1029/rs021i005p00771","doi":"https://doi.org/10.1029/rs021i005p00771","is_oa":false,"landing_page_url":"https://doi.org/10.1029/rs021i005p00771","pdf_url":null,"source":{"id":"https://openalex.org/S116100596","display_name":"Radio Science","issn_l":"0048-6604","issn":["0048-6604","1944-799X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Radio Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W218580582","https://openalex.org/W1481674015","https://openalex.org/W1573293896","https://openalex.org/W1588167619","https://openalex.org/W1642507805","https://openalex.org/W1666853924","https://openalex.org/W1974895783","https://openalex.org/W1978949570","https://openalex.org/W1984230033","https://openalex.org/W1995167593","https://openalex.org/W2007069191","https://openalex.org/W2010054375","https://openalex.org/W2020290599","https://openalex.org/W2034622683","https://openalex.org/W2053063134","https://openalex.org/W2059302907","https://openalex.org/W2060233374","https://openalex.org/W2063973166","https://openalex.org/W2066711129","https://openalex.org/W2094728101","https://openalex.org/W2104038650","https://openalex.org/W2104982048","https://openalex.org/W2105687224","https://openalex.org/W2123638568","https://openalex.org/W2166298190","https://openalex.org/W2225203892","https://openalex.org/W4212926589","https://openalex.org/W4234537903","https://openalex.org/W4237758070","https://openalex.org/W4292360406","https://openalex.org/W4302561523"],"related_works":["https://openalex.org/W2043363263","https://openalex.org/W2074362856","https://openalex.org/W1980050486","https://openalex.org/W3132858034","https://openalex.org/W2059302907","https://openalex.org/W2161347517","https://openalex.org/W2550049305","https://openalex.org/W3022636883","https://openalex.org/W1974895783","https://openalex.org/W1978724813"],"abstract_inverted_index":{"The":[0,100],"mean":[1,37,66,78],"electromagnetic":[2,79],"fields":[3,80],"are":[4,70,117],"found":[5],"in":[6,26,45,81,85,107],"a":[7,15],"layer":[8],"of":[9,21,48,64,89,96,125],"randomly":[10],"oriented":[11,91],"particles":[12,92],"lying":[13],"over":[14],"half":[16],"space.":[17],"A":[18,39],"matrix\u2010dyadic":[19],"formulation":[20],"Maxwell's":[22],"equations":[23,34,58,69],"is":[24,52],"employed":[25],"conjunction":[27],"with":[28],"the":[29,36,46,60,65,77,82,86,97,108,113,120],"Foldy\u2010Lax":[30],"approximation":[31],"to":[32,55,72,122],"obtain":[33,73],"for":[35,59,76,119],"fields.":[38],"two":[40],"variable":[41],"perturbation":[42],"procedure,":[43],"valid":[44],"limit":[47],"small":[49],"fractional":[50],"volume,":[51],"then":[53],"used":[54],"derive":[56],"uncoupled":[57],"slowly":[61],"varying":[62],"amplitudes":[63],"wave.":[67],"These":[68],"solved":[71],"explicit":[74],"expressions":[75],"slab":[83],"region":[84],"general":[87],"case":[88],"arbitrarily":[90],"and":[93],"arbitrary":[94],"polarization":[95],"incident":[98],"radiation.":[99],"results":[101],"include":[102],"special":[103],"cases":[104],"previously":[105],"treated":[106],"literature":[109],"on":[110],"propagation":[111],"through":[112],"atmosphere.":[114],"Numerical":[115],"examples":[116],"given":[118],"application":[121],"remote":[123],"sensing":[124],"vegetation.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}