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Atmospheric radiative transfer codes

Calculation of radiative transfer of atmospheric electromagnetic radiation


Summary

Calculation of radiative transfer of atmospheric electromagnetic radiation

An atmospheric radiative transfer model, code, or simulator calculates radiative transfer of electromagnetic radiation through a planetary atmosphere.

Methods

At the core of a radiative transfer model lies the radiative transfer equation that is numerically solved using a solver such as a discrete ordinate method or a Monte Carlo method. The radiative transfer equation is a monochromatic equation to calculate radiance in a single layer of the Earth's atmosphere. To calculate the radiance for a spectral region with a finite width (e.g., to estimate the Earth's energy budget or simulate an instrument response), one has to integrate this over a band of frequencies (or wavelengths). The most exact way to do this is to loop through the frequencies of interest, and for each frequency, calculate the radiance at this frequency. For this, one needs to calculate the contribution of each spectral line for all molecules in the atmospheric layer; this is called a line-by-line calculation. For an instrument response, this is then convolved with the spectral response of the instrument.

A faster but more approximate method is a band transmission. Here, the transmission in a region in a band is characterised by a set of pre-calculated coefficients (depending on temperature and other parameters). In addition, models may consider scattering from molecules or particles, as well as polarisation; however, not all models do so.

Applications

Radiative transfer codes are used in broad range of applications. They are commonly used as forward models for the retrieval of geophysical parameters (such as temperature or humidity). Radiative transfer models are also used to optimize solar photovoltaic systems for renewable energy generation. Another common field of application is in a weather or climate model, where the radiative forcing is calculated for greenhouse gases, aerosols, or clouds. In such applications, radiative transfer codes are often called radiation parameterization. In these applications, the radiative transfer codes are used in forward sense, i.e. on the basis of known properties of the atmosphere, one calculates heating rates, radiative fluxes, and radiances.

There are efforts for intercomparison of radiation codes. One such project was ICRCCM (Intercomparison of Radiation Codes in Climate Models) effort that spanned the late 1980s – early 2000s. The more current (2011) project, Continual Intercomparison of Radiation Codes, emphasises also using observations to define intercomparison cases.

Table of models

Name
Website
References
UV
Visible
Near IR
Thermal IR
mm/sub-mm
Microwave
line-by-line/band
Scattering
Polarised
Geometry
License
Notes
NameWebsiteReferencesUVVISNear IRThermal IRMicrowavemm/sub-mmline-by-line/bandScatteringPolarisedGeometryLicenseNotes
4A/OPhttp://www.noveltis.fr/4AOP/Scott and Chédin (1981)doi = 10.1175/1520-0450(1981)0202.0.CO;2first1 = N. A.title = A fast line-by- line method for atmospheric absorption computations: The Automatized Atmospheric Absorption Atlasjournal = J. Appl. Meteorol.volume = 20bibcode=1981JApMe..20..802Syear = 1981pages = 802–812first2 = A.doi-access = freeband or line-by-linefreeware
6S/6SV1http://6s.ltdri.org/Kotchenova et al. (1997)first2 = E. F.first3 = Rfirst4 = F. J.title = Validation of a vector version of the 6S radiative transfer code for atmospheric correction of satellite data. Part I: Path Radiancejournal = Applied Opticsvolume = 45issue = 26pages = 6762–6774doi=10.1364/AO.45.006762year = 2006pmid=16926910bibcode = 2006ApOpt..45.6762Kciteseerx = 10.1.1.488.9804bandnon-Lambertian surface
ARTShttp://www.radiativetransfer.org/Eriksson et al. (2011)first1 = P.first2 = S. A.first3 = C.P.first4 = C.first5 = O.journal = Journal of Quantitative Spectroscopy and Radiative Transfertitle = ARTS, the atmospheric radiative transfer simulator, Version 2volume = 112pages = 1551–1558issue=10year = 2011url=http://radiativetransfer.org/docs/arts-2-0-paper.pdfaccess-date=2016-11-02doi=10.1016/j.jqsrt.2011.03.001bibcode = 2011JQSRT.112.1551E}}first1 = S. A.first2 = J.first3 = P.first4 = A.first5 = R.first6 = O.journal = Geoscientific Model Developmenttitle = ARTS, the atmospheric radiative transfer simulator — version 2.2, the planetary toolbox editionvolume = 11pages = 1537–1556issue=4year = 2018
BTRAMhttp://blueskyspectroscopy.com/?page_id=21Chapman et al. (2009)first1 = I. M.first2 = D. A.first3 = B. G.first4 = R. R.first5 = P.journal = The 30th Canadian Symposium on Remote Sensingtitle = BTRAM: An Interactive Atmospheric Radiative Transfer Modelvolume = 30pages = 22–25year = 2009ref = chapman2009}}line-by-line1D, plane-parallelproprietary commercial
COARThttps://clouds.larc.nasa.gov/jin/coart.htmlJin et al. (2006)first1 = Z.first2 = T.P.first3 = K.first4 = K.first5 = Y.s2cid = 39305812title = An analytical solution of radiative transfer in the coupled atmosphere-ocean system with rough surfacejournal = Appl. Opt.volume = 45issue = 28year = 2006pages = 7443–7455doi=10.1364/AO.45.007443pmid = 16983433bibcode = 2006ApOpt..45.7443Jhdl = 2060/20080015519hdl-access = freeplane-parallelfree
CMFGENhttps://sites.pitt.edu/~hillier/web/CMFGEN.htmHillier (2020)line-by-line1D
CRMhttp://www.cgd.ucar.edu/cms/crm/bandfreely availablePart of NCAR Community Climate Model
CRTMhttps://www.jcsda.org/jcsda-project-community-radiative-transfer-modelJohnson et al. (2023)first1 = Bfirst2 = Cfirst3 = Pfirst4 = Qfirst5 = Ifirst6 = Ttitle = The Community Radiative Transfer Model (CRTM): Community-Focused Collaborative Model Development Accelerating Research to Operationsjournal = Bull. Amer. Meteor. Soc.year = 2023volume = 104issue = 10doi = 10.1175/BAMS-D-22-0015.1bibcode = 2023BAMS..104E1817Js2cid = 258738740doi-access = freeband1D, Plane-ParallelPublic DomainFresnel ocean surfaces, Lambertian non-ocean surface
DART radiative transfer modelhttp://www.cesbio.ups-tlse.fr/dart/license/fr/getLicense.phpGastellu-Etchegorry et al. (1996)first1 = JPfirst2 = Vfirst3 = Vfirst4 = Ftitle = Modelling radiative transfer in heterogeneous 3-D vegetation canopiesjournal = Rem. Sens. Env.volume = 58issue = 2year = 1996bibcode = 1996RSEnv..58..131Gdoi = 10.1016/0034-4257(95)00253-7url = http://hal.ird.fr/ird-00405222/document}}bandspherical 1D, 2D, 3Dfree for research with licensenon-Lambertian surface, landscape creation and import
DISORThttp://lllab.phy.stevens.edu/disort/Stamnes et al. (1988){{Cite journalfirst1 = Knutfirst2 = S. C.first3 = W.first4 = Kolftitle = Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered mediajournal = Appl. Opt.volume = 27issue = 12year = 1988pages = 2502–2509doi=10.1364/AO.27.002502pmid = 20531783bibcode = 1988ApOpt..27.2502S }}first1 = Zhenyifirst2 = S.first3 = Z.first4 = I.first5 = S. C.first6 = W.title = Improved discrete ordinate solutions in the presence of an anisotropically reflecting lower boundary: Upgrades of the DISORT computational tooljournal = Journal of Quantitative Spectroscopy and Radiative Transfervolume = 157issue = 12year = 2015pages = 119–134doi = 10.1016/j.jqsrt.2015.02.014bibcode = 2015JQSRT.157..119L
Eradiatehttps://www.eradiate.euband or line-by-lineplane-parallel, sphericalLGPL3D surface simulation
FARMShttp://www.sciencedirect.com/science/article/pii/S0038092X16301827Xie et al. (2016)doi = 10.1016/j.solener.2016.06.003first1 = Y.first2 = M.first3 = J.title = A Fast All-sky Radiation Model for Solar applications (FARMS): Algorithm and performance evaluationjournal = Solar Energyvolume = 135year = 2016pages = 435–445bibcode = 2016SoEn..135..435Xdoi-access = freebandplane-parallelfreeRapidly simulating downwelling solar radiation at land surface for solar energy and climate research
Fu-Liouhttps://web.archive.org/web/20100527152529/http://snowdog.larc.nasa.gov/rose/fu200503/flp200503_web.htmFu and Liou (1993)doi = 10.1175/1520-0469(1993)0502.0.CO;2first1 = Q.first2 = K.-Ntitle = Parameterization of the radiative properties of cirrus cloudsjournal = J. Atmos. Sci.volume = 50year = 1993pages = 2008–2025bibcode=1993JAtS...50.2008Fref = Fu1993doi-access = freeplane-parallelusage online, source code availableweb interface online at
FUTBOLINMartin-Torres (2005)first1 = F. J.first2 = A.first3 = A.first4 = O.first5 = A.G.title = Accurate and fast computation of the radiative transfer absorption rates for the infrared bands in the atmosphere of Titanjournal = Geophysical Research Abstractsbibcode = 2003EAEJA.....7735Myear = 2003page = 7735}}{{partialλline-by-linespherical or plane-parallelhandles line-mixing, continuum absorption and NLTE
GENLN2https://web.archive.org/web/20100609174702/http://acd.ucar.edu/~edwards/Edwards (1992)line-by-line
KARINEhttps://archive.today/20121211191054/http://web.lmd.jussieu.fr/~eymet/karine.htmlEymet (2005)colspan=2plane-parallelGPL
KCARTAhttp://asl.umbc.edu/pub/packages/kcarta.htmlline-by-lineplane-parallelfreely availableAIRS reference model
KOPRAhttp://www.imk-asf.kit.edu/english/312.php
LBLRTMhttp://rtweb.aer.com/lblrtm.htmlClough et al. (2005)doi = 10.1016/j.jqsrt.2004.05.058first1 = S. A.first2 = M. W.first3 = E. J.first4 = J. S.first5 = M. J.first6 = K.first7 = S.first8 = P. D.journal = J. Quant. Spectrosc. Radiat. Transfertitle = Atmospheric radiative transfer modeling: a summary of the AER codesvolume = 91pages = 233–244bibcode=2005JQSRT..91..233Cyear = 2005ref = clough2005hdl = 2027.42/142162hdl-access = freeline-by-line
LEEDRhttp://www.afit.edu/CDE/page.cfm?page=329&tabname=Tab5AFiorino et al. (2014)doi = 10.1175/JAMC-D-13-036.1first1 = S. T.first2 = R. M.first3 = M. F.first4 = J. L.title = Validation of a UV-to-RF High-Spectral-Resolution Atmospheric Boundary Layer Characterization Tooljournal= J. Appl. Meteorol. Climatol.volume= 53issue=1pages=136–156year=2014bibcode = 2014JApMC..53..136Fdoi-access = freeband or line-by-linesphericalUS government softwareextended solar & lunar sources;
LinePakhttp://www.spectralcalc.com/Gordley et al. (1994)first1 = L. L.first2 = B. T.journal = J. Quant. Spectrosc. Radiat. Transfertitle = LINEPAK: Algorithm for Modeling Spectral Transmittance and Radiancevolume = 52pages = 563–580bibcode=1994JQSRT..52..563Gyear = 1994ref = gordley1994issue = 5citeseerx = 10.1.1.371.5401line-by-linespherical (Earth and Mars), plane-parallelfreely available with restrictionsweb interface, SpectralCalc
libRadtranhttp://www.libradtran.org/doku.phpMayer and Kylling (2005)first1 = B.first2 = A.title = Technical note: The libRadtran software package for radiative transfer calculations – description and examples of usejournal = Atmospheric Chemistry and Physicsvolume = 5year = 2005pages = 1855–1877doi = 10.5194/acp-5-1855-2005ref = mayer2005url = https://hal.archives-ouvertes.fr/hal-00295701/file/acp-5-1855-2005.pdfbibcode = 2005ACP.....5.1855Mdoi-access = freeband or line-by-lineplane-parallel or pseudo-sphericalGPL
MATISSEhttps://web.archive.org/web/20110721014407/http://matisse.onera.fr/index_english.htmCaillault et al. (2007)first1 = K.first2 = S.first3 = C.first4 = P.first5 = L.title = Multiresolution optical characteristics of rough sea surface in the infraredjournal = Applied Opticsvolume = 46issue = 22pages = 5471–5481doi=10.1364/AO.46.005471pmid = 17676164year = 2007bibcode = 2007ApOpt..46.5471C }}bandproprietary freeware
MCARaTSGPL3-D Monte Carlo
MODTRANhttp://www.modtran.org/Berk et al. (1998)doi = 10.1016/S0034-4257(98)00045-5first1 = A.first2 = L. S.first3 = G. P.first4 = P. K.first5 = D. C.first6 = J. H.first7 = S. M.title = MODTRAN cloud and multiple scattering upgrades with application to AVIRISjournal= Remote Sensing of Environmentvolume= 65issue=3pages=367–375year=1998bibcode = 1998RSEnv..65..367B }}band or line-by-lineproprietary commercialsolar and lunar source, uses DISORT
MOSARThttps://web.archive.org/web/20130401085541/http://www.cpi.com/products/mosart.htmlCornette (2006)first1 = William M.title = Moderate Spectral Atmospheric Radiance and Transmittance (MOSART) Computer Code Version 2.00., Lexington, MA (2006)journal= Proc. IEEE-GRSS/AFRL Atmospheric Transmission Modeling Conference, Lexington MAyear=2006ref = cornette2006}}bandfreely available
MSCARThttps://intersharp.gitlab.io/mscart-docs/index.htmlWang et al. (2017){{cite journalfirst1 = Zhenfirst2 = Shengchengfirst3 = Junfirst4 = Haiyangfirst5 = Chaofirst6 = Zhibotitle = A novel hybrid scattering order-dependent variance reduction method for monte carlo simulations of radiative transfer in cloudy atmospherejournal= Journal of Quantitative Spectroscopy and Radiative Transfervolume = 189pages = 283–302year=2017doi = 10.1016/j.jqsrt.2016.12.002bibcode = 2017JQSRT.189..283Wdoi-access = freefirst1 = Zhenfirst2 = Shengchengfirst3 = Zhibofirst4 = Junfirst5 = Haiyangfirst6 = Fengtitle = Theoretical extension of universal forward and backward Monte Carlo radiative transfer modeling for passive and active polarization observation simulationsjournal = Journal of Quantitative Spectroscopy and Radiative Transfervolume = 235year = 2019pages = 81–94doi = 10.1016/j.jqsrt.2019.06.025bibcode = 2019JQSRT.235...81W
PICASOhttps://natashabatalha.github.io/picaso/linkBatalha et al. (2019) Mukherjee et al. (2022)λ0.3 μmband or correlated-kplane-parallel, 1D, 3DGPL Githubexoplanet, brown dwarf, climate modeling, phase-dependence
PUMAShttp://ssed.gsfc.nasa.gov/psg/Line-by-line and correlated-kplane-parallel and pseudo-sphericalFree/online tool
RADIShttps://radis.readthedocs.io/Pannier (2018)first1 = E.first2 = C.title = RADIS: A nonequilibrium line-by-line radiative code for CO2 and HITRAN-like database speciesjournal = Quantitative Spectroscopy and Radiative Transfervolume = 222-223pages = 12–25doi=10.1016/j.jqsrt.2018.09.027year = 2019bibcode = 2019JQSRT.222...12Ps2cid = 125474810url = https://hal.archives-ouvertes.fr/hal-01904972/file/radis_submitted.pdfcolspan=21DGPL
RFMhttp://www.atm.ox.ac.uk/RFM/line-by-lineavailable on requestMIPAS reference model based on GENLN2
RRTM/RRTMGhttp://rtweb.aer.com/Mlawer, et al. (1997)first1 = E. J.first2 = S. J.first3 = P. D.first4 = M. J.first5 = S. A.s2cid = 54031652title = RRTM, a validated correlated-k model for the longwavejournal = J. Geophys. Res.volume = 102issue = 16pages = 663–682bibcode=1997JGR...10216663Mdoi = 10.1029/97JD00237year = 1997doi-access = freefree of chargeuses DISORT
RTMOM[ftp://ftp.eumetsat.int/pub/MET/out/govaerts/RTMOM-BETA/index.htm]{{partialλline-by-lineplane-parallelfreeware
RTTOVhttp://research.metoffice.gov.uk/research/interproj/nwpsaf/rtm/Saunders et al. (1999)first1 = R. W.first2 = M.first3 = P.title = An Improved Fast Radiative Transfer Model for Assimilation of Satellite Radiance Observationsjournal = Quarterly Journal of the Royal Meteorological Societyvolume = 125pages = 1407–1425bibcode=1999QJRMS.125.1407Sdoi = 10.1256/smsqj.55614year = 1999issue = 556 }}bandavailable on request
SASKTRANBourassa et al.line-by-lineline-by-linespherical 1D, 2D, 3D, plane-parallelavailable on requestdiscrete and Monte Carlo options
SBDARThttps://web.archive.org/web/20100708003803/http://arm.mrcsb.com/sbdart/Ricchiazzi et al. (1998)doi = 10.1175/1520-0477(1998)0792.0.CO;2first1 = P.first2 = S.first3 = C.first4 = D.title = SBDART: A Research and Teaching Software Tool for Plane-Parallel Radiative Transfer in the Earth's Atmospherejournal=Bull. Am. Meteorol. Soc.bibcode=1998BAMS...79.2101Ryear = 1998volume = 79issue = 10pages = 2101–2114doi-access = freeplane-paralleluses DISORT
SCIATRANhttp://www.iup.uni-bremen.de/sciatran/Rozanov et al. (2005)doi = 10.1016/j.asr.2005.03.012first1 = A.first2 = V.first3 = M.first4 = A.first5 = J. P.title= SCIATRAN 2.0-A new radiative transfer model for geophysical applications in the 175-2400 nm spectral regionjournal = Advances in Space Researchvolume = 36issue = 5pages = 1015–1019bibcode=2005AdSpR..36.1015Ryear = 2005ref = rozanov2005}}doi = 10.1016/j.jqsrt.2013.07.004first1 = V.first2 = A.first3 = A.first4 = J. P.title= Radiative transfer through terrestrial atmosphere and ocean: Software package SCIATRANjournal = Journal of Quantitative Spectroscopy and Radiative Transfervolume = 133pages = 13–71year = 2014bibcode = 2014JQSRT.133...13R }}
SHARMLyapustin (2002)first1 = A.title = Radiative transfer code SHARM-3D for radiance simulations over a non-Lambertian nonhomogeneous surface: intercomparison studyjournal = Applied Opticsvolume = 41issue = 27pages = 5607–5615year = 2002doi=10.1364/AO.41.005607ref = lyapustin2002bibcode = 2002ApOpt..41.5607Lurl = https://zenodo.org/record/1235634
SHDOMhttps://web.archive.org/web/20100610123300/http://nit.colorado.edu/shdom.htmlEvans (2006)doi = 10.1175/1520-0469(1998)0552.0.CO;2first1 = K. F.title = The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transferjournal = Journal of the Atmospheric Sciencesvolume = 55pages = 429–446year = 1998bibcode = 1998JAtS...55..429Eciteseerx = 10.1.1.555.9038s2cid = 40027059 }}
σ-IASIhttp://zenodo.org/records/8152674Amato et al. (2002){{cite journaldoi = 10.1016/S1364-8152(02)00027-0first1 = U.first2 = G.first3 = C.first4 = M.title = The σ-IASI code for the calculation of infrared atmospheric radiance and its derivativesjournal = Environmental Modelling & Softwarevolume = 17pages = 651–667year = 2002ref = amato2002issue = 7}}doi = 10.5194/amt-10-599-2017first1 = G.first2 = G.first3 = C.first4 = D.first5 = C.first6 = P.title = Consistency of dimensional distributions and refractive indices of desert dust measured over Lampedusa with IASI radiancesvolume = 10pages = 599–615year = 2017bibcode = 2017AMT....10..599Ldoi-access = freehdl = 11563/125342hdl-access = free}}
SMART-Ghttps://www.hygeos.com/smartgRamon et al. (2019)doi = 10.1016/j.jqsrt.2018.10.017first1 = D.title = Modeling polarized radiative transfer in the ocean-atmosphere system with the GPU-accelerated SMART-G Monte Carlo codejournal = Journal of Quantitative Spectroscopy and Radiative Transfervolume = 222-223pages = 89–107bibcode = 2019JQSRT.222...89Rs2cid = 125121586 }}band or line-by-lineplane-parallel or sphericalfree for non-commercial purposesMonte-Carlo code parallelized by GPU (CUDA). Atmosphere or/and ocean options
Streamer, Fluxnethttp://stratus.ssec.wisc.edu/streamer/streamer.htmlKey and Schweiger (1998)doi = 10.1016/S0098-3004(97)00130-1first1 = J.first2 = A. J.year = 1998title = Tools for atmospheric radiative transfer: Streamer and FluxNetjournal = Computers & Geosciencesvolume = 24issue = 5bibcode=1998CG.....24..443Khdl = 2060/19980018471s2cid = 118079586hdl-access = free{{yesλbandplane-parallelFluxnet is fast version of STREAMER using neural nets
XRTMhttp://reef.atmos.colostate.edu/~gregm/xrtm/plane-parallel and pseudo-sphericalGPL
VLIDORT/LIDORThttp://www.rtslidort.com/about_overview.htmlhttp://www.rtslidort.com/about_overview.html
Spurr and Christi (2019)doi = 10.1007/978-3-030-03445-0_1first1 = R.first2 = M.year = 2019title = The LIDORT and VLIDORT Linearized Scalar and Vector Discrete Ordinate Radiative Transfer Modelsseries = Springer Series in Light Scatteringpages = 1–62s2cid = 126425750 }}line-by-lineVLIDORT onlyplane-parallelUsed in SMART and VSTAR radiative transfer

Molecular absorption databases

For a line-by-line calculation, one needs characteristics of the spectral lines, such as the line centre, the intensity, the lower-state energy, the line width and the shape.

NameAuthorDescription
HITRANRothman et al. (1987, 1992, 1998, 2003, 2005, 2009, 2013, 2017)HITRAN is a compilation of molecular spectroscopic parameters that a variety of computer codes use to predict and simulate the transmission and emission of light in the atmosphere. The original version was created at the Air Force Cambridge Research Laboratories (1960's). The database is maintained and developed at the Harvard-Smithsonian Center for Astrophysics in Cambridge MA, USA.
GEISAJacquinet-Husson et al. (1999, 2005, 2008)GEISA (Gestion et Etude des Informations Spectroscopiques Atmosphériques: Management and Study of Spectroscopic Information) is a computer-accessible spectroscopic database, designed to facilitate accurate forward radiative transfer calculations using a line-by-line and layer-by-layer approach. It was started in 1974 at Laboratoire de Météorologie Dynamique (LMD/IPSL) in France. GEISA is maintained by the ARA group at LMD (Ecole Polytechnique) for its scientific part and by the ETHER group (CNRS Centre National de la Recherche Scientifique-France) at IPSL (Institut Pierre Simon Laplace) for its technical part. Currently, GEISA is involved in activities related to the assessment of the capabilities of IASI (Infrared Atmospheric Sounding Interferometer on board of the METOP European satellite) through the GEISA/IASI database derived from GEISA.

References

;Footnotes

;General

  • Bohren, Craig F. and Eugene E. Clothiaux, Fundamentals of atmospheric radiation: an introduction with 400 problems, Weinheim: Wiley-VCH, 2006, 472 p., .
  • Goody, R. M. and Y. L. Yung, Atmospheric Radiation: Theoretical Basis. Oxford University Press, 1996 (Second Edition), 534 pages, .
  • Liou, Kuo-Nan, An introduction to atmospheric radiation, Amsterdam; Boston: Academic Press, 2002, 583 p., International geophysics series, v.84, .
  • Mobley, Curtis D., Light and water: radiative transfer in natural waters; based in part on collaborations with Rudolph W. Preisendorfer, San Diego, Academic Press, 1994, 592 p.,
  • Petty, Grant W, A first course in atmospheric radiation (2nd Ed.), Madison, Wisconsin: Sundog Pub., 2006, 472 p.,
  • Preisendorfer, Rudolph W., Hydrologic optics, Honolulu, Hawaii: U.S. Dept. of Commerce, National Oceanic & Atmospheric Administration, Environmental Research Laboratories, Pacific Marine Environmental Laboratory, 1976, 6 volumes.
  • Stephens, Graeme L., Remote sensing of the lower atmosphere: an introduction, New York, Oxford University Press, 1994, 523 p. .
  • Thomas, Gary E. and Knut Stamnes, Radiative transfer in the atmosphere and ocean, Cambridge, New York, Cambridge University Press, 1999, 517 p., .
  • Zdunkowski, W., T. Trautmann, A. Bott, Radiation in the Atmosphere. Cambridge University Press, 2007, 496 pages,

References

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  2. [http://circ.gsfc.nasa.gov/ Continual Intercomparison of Radiation Codes]
  3. Hillier, D. John. (2020-05-01). "CMFGEN: A Key Spectroscopic Tool for Astrophysicists". HST Proposal.
  4. "Fu-Liou Cloud/Aerosol Forcing Page (Version 200503/MARCH 2005)". [[NASA]].
  5. Edwards, D. P. (1992), GENLN2: A general line-by-line atmospheric transmittance and radiance model, Version 3.0 description and users guide, NCAR/TN-367-STR, National Center for Atmospheric Research, Boulder, Co.
  6. KARINE: a tool for infrared radiative transfer analysis in planetary atmospheres par V. Eymet. Note technique interne, Laboratoire d'Energétique, 2005.
  7. "MCARaTS".
  8. (2019-06-01). "Exoplanet Reflected-light Spectroscopy with PICASO". The Astrophysical Journal.
  9. (2023). "PICASO 3.0: A One-Dimensional Climate Model for Giant Planets and Brown Dwarfs". [[The Astrophysical Journal]].
  10. "Welcome to SASKTRAN's documentation! — SASKTRAN 0.1.3 documentation".
  11. (2008). "SASKTRAN: A spherical geometry radiative transfer code for efficient estimation of limb scattered sunlight". Journal of Quantitative Spectroscopy and Radiative Transfer.
  12. (2015-06-26). "High-resolution and Monte Carlo additions to the SASKTRAN radiative transfer model". Atmos. Meas. Tech..
  13. [http://stratus.ssec.wisc.edu/fluxnet/ FluxNet]
  14. [http://www.hitran.org/ HITRAN Site]
  15. [http://ara.lmd.polytechnique.fr/ GEISA Site]
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