{"id":"https://openalex.org/W2121485719","doi":"https://doi.org/10.1109/lgrs.2009.2016120","title":"Approximations of the Planck Function for Models and Measurements Into the Submillimeter Range","display_name":"Approximations of the Planck Function for Models and Measurements Into the Submillimeter Range","publication_year":2009,"publication_date":"2009-04-22","ids":{"openalex":"https://openalex.org/W2121485719","doi":"https://doi.org/10.1109/lgrs.2009.2016120","mag":"2121485719"},"language":"en","primary_location":{"id":"doi:10.1109/lgrs.2009.2016120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lgrs.2009.2016120","pdf_url":null,"source":{"id":"https://openalex.org/S126920919","display_name":"IEEE Geoscience and Remote Sensing Letters","issn_l":"1545-598X","issn":["1545-598X","1558-0571"],"is_oa":false,"is_in_doaj":false,"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 Geoscience and Remote Sensing Letters","raw_type":"journal-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/A5072735234","display_name":"Alan E. Lipton","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154624","display_name":"Atmospheric and Environmental Research","ror":"https://ror.org/04cg70g73","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210154624"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.E. Lipton","raw_affiliation_strings":["Atmospheric and Environmental Research, Inc., Lexington, MA, USA","Atmos. & Environ. Res., Inc., Lexington, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atmospheric and Environmental Research, Inc., Lexington, MA, USA","institution_ids":["https://openalex.org/I4210154624"]},{"raw_affiliation_string":"Atmos. & Environ. Res., Inc., Lexington, MA","institution_ids":["https://openalex.org/I4210154624"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001467301","display_name":"Jean\u2010Luc Moncet","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154624","display_name":"Atmospheric and Environmental Research","ror":"https://ror.org/04cg70g73","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210154624"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.-L. Moncet","raw_affiliation_strings":["Atmospheric and Environmental Research, Inc., Lexington, MA, USA","Atmos. & Environ. Res., Inc., Lexington, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atmospheric and Environmental Research, Inc., Lexington, MA, USA","institution_ids":["https://openalex.org/I4210154624"]},{"raw_affiliation_string":"Atmos. & Environ. Res., Inc., Lexington, MA","institution_ids":["https://openalex.org/I4210154624"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006252916","display_name":"G. Uymin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154624","display_name":"Atmospheric and Environmental Research","ror":"https://ror.org/04cg70g73","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210154624"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Uymin","raw_affiliation_strings":["Atmospheric and Environmental Research, Inc., Lexington, MA, USA","Atmos. & Environ. Res., Inc., Lexington, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atmospheric and Environmental Research, Inc., Lexington, MA, USA","institution_ids":["https://openalex.org/I4210154624"]},{"raw_affiliation_string":"Atmos. & Environ. Res., Inc., Lexington, MA","institution_ids":["https://openalex.org/I4210154624"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210154624"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.2169,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61931679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"6","issue":"3","first_page":"433","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10347","display_name":"Atmospheric aerosols and clouds","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10347","display_name":"Atmospheric aerosols and clouds","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"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/T11320","display_name":"Atmospheric Ozone and Climate","score":0.9998000264167786,"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/T10075","display_name":"Atmospheric chemistry and aerosols","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/radiance","display_name":"Radiance","score":0.9221651554107666},{"id":"https://openalex.org/keywords/brightness-temperature","display_name":"Brightness temperature","score":0.8010618686676025},{"id":"https://openalex.org/keywords/brightness","display_name":"Brightness","score":0.796757698059082},{"id":"https://openalex.org/keywords/plancks-law","display_name":"Planck's law","score":0.7814480662345886},{"id":"https://openalex.org/keywords/radiative-transfer","display_name":"Radiative transfer","score":0.6757739782333374},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5936382412910461},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5564172267913818},{"id":"https://openalex.org/keywords/sky-brightness","display_name":"Sky brightness","score":0.53721684217453},{"id":"https://openalex.org/keywords/planck","display_name":"Planck","score":0.47560247778892517},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.4749436676502228},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.4569762647151947},{"id":"https://openalex.org/keywords/compensation","display_name":"Compensation (psychology)","score":0.4370661675930023},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.43700024485588074},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.43043187260627747},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3873639404773712},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.210433691740036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19973507523536682},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16789507865905762},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12014573812484741},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10726791620254517}],"concepts":[{"id":"https://openalex.org/C23690007","wikidata":"https://www.wikidata.org/wiki/Q1411145","display_name":"Radiance","level":2,"score":0.9221651554107666},{"id":"https://openalex.org/C53802167","wikidata":"https://www.wikidata.org/wiki/Q4538627","display_name":"Brightness temperature","level":3,"score":0.8010618686676025},{"id":"https://openalex.org/C125245961","wikidata":"https://www.wikidata.org/wiki/Q221656","display_name":"Brightness","level":2,"score":0.796757698059082},{"id":"https://openalex.org/C177260915","wikidata":"https://www.wikidata.org/wiki/Q212986","display_name":"Planck's law","level":2,"score":0.7814480662345886},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.6757739782333374},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5936382412910461},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5564172267913818},{"id":"https://openalex.org/C193212914","wikidata":"https://www.wikidata.org/wiki/Q7537571","display_name":"Sky brightness","level":3,"score":0.53721684217453},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.47560247778892517},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.4749436676502228},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.4569762647151947},{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.4370661675930023},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.43700024485588074},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.43043187260627747},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3873639404773712},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.210433691740036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19973507523536682},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16789507865905762},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12014573812484741},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10726791620254517},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lgrs.2009.2016120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lgrs.2009.2016120","pdf_url":null,"source":{"id":"https://openalex.org/S126920919","display_name":"IEEE Geoscience and Remote Sensing Letters","issn_l":"1545-598X","issn":["1545-598X","1558-0571"],"is_oa":false,"is_in_doaj":false,"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 Geoscience and Remote Sensing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1529954197","https://openalex.org/W1557312657","https://openalex.org/W1976442900","https://openalex.org/W1984729133","https://openalex.org/W2002612976","https://openalex.org/W2062710439","https://openalex.org/W2110604886","https://openalex.org/W2122098416","https://openalex.org/W2129457824","https://openalex.org/W2160119258","https://openalex.org/W2170808722","https://openalex.org/W3016459782"],"related_works":["https://openalex.org/W2046314839","https://openalex.org/W2016613348","https://openalex.org/W1991824171","https://openalex.org/W2037008369","https://openalex.org/W1983414154","https://openalex.org/W2121485719","https://openalex.org/W3125388252","https://openalex.org/W2356433359","https://openalex.org/W652901797","https://openalex.org/W2083813704"],"abstract_inverted_index":{"A":[0],"brightness":[1,24,50,60,103],"temperature":[2,25,51,104],"is":[3],"defined":[4],"as":[5],"a":[6,72],"linear":[7,15],"function":[8],"of":[9,30,48,57],"the":[10,14,20,23,27,44,76,84,87,96],"Planck":[11],"radiance,":[12],"with":[13],"coefficients":[16],"optimized":[17],"to":[18,70,75,78],"minimize":[19],"difference":[21],"between":[22,83],"and":[26,32,86,98],"physical":[28],"temperatures":[29],"atmospheric":[31],"terrestrial":[33],"emitters.":[34],"Radiative":[35],"transfer":[36],"(RT)":[37],"calculations":[38],"can":[39,67,92],"be":[40,68,93],"accelerated":[41],"by":[42],"formulating":[43],"integration":[45],"in":[46,55],"terms":[47,56],"this":[49],"while":[52],"producing":[53],"output":[54],"radiance":[58],"or":[59],"temperature.":[61],"Approximation":[62],"errors":[63],"are170":[64],"K),":[65],"it":[66],"advantageous":[69],"apply":[71],"complementary":[73],"approximation":[74],"measurements":[77],"benefit":[79],"from":[80],"error":[81,90],"compensation":[82,91],"model":[85],"measurements.":[88],"Alternatively,":[89],"obtained":[94],"if":[95],"calibration":[97],"RT":[99],"equations":[100],"use":[101],"consistent":[102],"approximations.":[105]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}