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Sviluppo di algoritmi d’inversione
EmpiriciNeural network Modelli numerici di trasferimento radiativo
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Radiative transfer modeling
•Model type/purpose•Spectral range/integration•Angular integration•Polarization•Physical Processes/level of parametrization•Geometry•Input•Output•User friendly•Examples
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Proprieta’ fisiche delle singole molecole e Aerosols (composizione)
(p,T)Proprieta’ ottiche delle singole molecole e Aerosols (λ,Ω)
Proprieta’ ottiche del volume (λ,Ω)
Equazione del trasporto radiativo (λ,Ω)Proprieta’ ottiche della superficie/boundaries (λ,Ω)
Soluzione (∫ ∫ …dλdΩ)
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Proprieta’ fisiche delle singole molecole e Aerosols (composizione)
Proprieta’ ottiche delle singole molecole e Aerosols (λ,Ω)
Proprieta’ ottiche del volume (λ,Ω)
Equazione del trasporto radiativo (λ,Ω)
Soluzione (∫ ∫ …dλdΩ)
Processi radiativi d’interazione
Calcolo delle proprieta’ ottiche di volume:Spessore ottico, albedo di singolo scattering, proprieta’ angolari dello scattering (per es: g o matrice di diffusione) o T,R,A
Risoluzione numerica dell’eq. Del trasporto radiativo
Risoluzione numerica di eventuali integrazioni angolari e spettrali
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(p,T)
La radiazione scatterata da un generico volume dipende dalla intensita’ e distribuzione angolare della radiazione incidente sul volume che pero’ dipende, atraverso lo scattering dei volumi vicini a sua volta dalla radiazione scatterata
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Scattering MULTIPLO: METODI NUMERICI
• Ordini di scattering successivi
• Montecarlo
• Doubling or Adding
• Invariant imbedding
• Funzioni X e Y
• Discrete – Ordinate
• Armoniche sferiche
• Sviluppo in eigenfuction
• Pseudo-assorbimento
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Doubling or adding method
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Si definisce per la trasmissione diffusa e per la riflessione:
Un prodotto R1R2 implica:
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OBSERVATION GEOMETRY (S, V, )
SURFACE ( (S, V, , ) ,zo)
CLOUDS (SSOP( ,z)*,( ,z))
AEROSOLS (SSOP( ,z)*,( ,z))
INSTRUMENT CHARACTERISTICS :
NOISE, FILTER RESPONSES, MULLER SIMULATED
INSTRUMENT
MODEL
RADIATIVE
TRANSFER
EQUATION SOLVER
ALTITUDE
INCLINATION
PERIOD
EQ. PASS. TIME
SCANNING
CHARACTERISTICS
ORBIT MODEL
SCANNING MODEL
EARTH SUBSATELLITE POSITION
INSTRUMENT SIMULATOR• GAS ABSORPTION FROM MAJOR AND MINOR GASES
• MULTIPLE SCATTERING
• POSSIBILITY TO INTRODUCE USER DEFINED DETAILED INPUT
• SPECTRAL RESOLUTION AND RANGE ADEGUATE
CLEAR SKY ATMOSPHERE THERMODYNAMIC PROFILE (T(z),p(z), gas(z))
INPUT UPWELLING
RADIANCES
SIMULATEDMEASURED
RADIANCES
(*) SSOP: Single Scattering Optical Properties
SSA
Legendre Polynomial coefficients
GAS EXTINCTION PROFILE (( ,z))
MOLECULAR SCATTERING PROFILE (SSOP( ,z),( ,z))
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LBLCLEAR SKY ATMOSPHERE THERMODYNAMIC PROFILE (T(z),p(z), gas(z)) GAS EXTINCTION PROFILE (( ,z))
HITRAN 2000
TAPE 1
LNFL
RANGE
GAS MOLECULES
TAPE 3
GEOGRAPHYCAL POSITION (LAT,LON) TOPOGRAPHY MODEL
z(LAT,LON))SURFACE COMPOSITION
BRDF MODELREFRACTIVE INDEX DB
m(λ,surface) SURFACE ( (S, V, , ) ,zo)
?
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SSOPM
MIEV0
CLEAR SKY ATMOSPHERE THERMODYNAMIC PROFILE (T(z),p(z), gas(z))
μPhysical model
AEROSOLS (SSOP( ,z)*,( ,z))
SD PROFILE (SD(z,aerosol))COMPOSITION PROFILE (SD(z,aerosol))
COMPOSITION
↓
REFRACTIVE INDEX
REFRACTIVE INDEX DB
m(λ,aerosol)
REFRACTIVE INDEX
m(λ,z,aerosol)
MIXTURE TYPE
Ext,Int
SHAPE
S(SD,z,aerosol)
CLOUDS (SSOP( ,z)*,( ,z))
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SSOPM
MIEV0WATER CLOUDS (SSOP( ,z)*,( ,z))
SD PROFILE (SD(z,water))
REFRACTIVE INDEX
m(λ,z,water)
SHAPE
S(SD,z,water)
δ-M
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Comments on RTM
• Completeness of the represented processes. (e.g. type of absorption band model, numerical solution of the multiple scattering)
• Assumptions (e.g. Lambertian surface representation)
• Internal database (e.g. angular representation of single scattering properties)
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Alcuni siti d’interesse
www.colorado.edu/physics/phet/simulations/blackbody/blackbody.swf
omlc.ogi.edu/calc/mie_calc.htlmwww.crseo.ucsb.edu/esrg/sbdart/http://irina.eas.gatech.edu/rad-codes.htm• Sito che permette di fare simulazioni on-line arm.mrcsb.com/sbdart/• RTTOVhttp://www.metoffice.gov.uk/research/interproj/nwpsaf/rtm/
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ESEMPI DI MOTIVAZIONI PER LA POSIZIONE DEI CANALI PER
ALCUNI STRUMENTI(MODIS e SEVIRI)
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CLM: Cloud microphysical properties
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