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Vector spherical radiative transfer model MCC++: linearization with respect to BRDF surface properties

Oleg Postylyakov(1)

(1) A.M. Obukhov Institute of Atmospheric Physics, Pyzhevsky per. 3, Moscow 119017, Russian Federation

Abstract

Application of radiative transfer models to optical remote sensing shows that remote sensing requires extra characteristics of radiance field in addition to the radiance intensity itself. Development of retrieval algorithms, analysis of retrieval errors and simulation of spectral measurements are in need of derivatives of radiance with respect to atmospheric properties under investigation. Models, which solve equation in derivatives of radiance simultaneously with transfer equation in radiance, have been termed linearized.

The radiative transfer model MCC++ employs Monte Carlo algorithms for multiple scattering simulation and takes into account radiance polarization and sphericity of the atmosphere. It treats also aerosol and molecular scattering, gas and aerosol absorption, and underlying surface described by the polarized Bidirectional Reflectance Distribution Function (BRDF). The polarized BRDF describes dependence of Stokes parameters of radiance scattered by surface from the incident and reflected directions.

Apart from the linearization with respect to the Lambertian surface albedo, a new version of the model becomes capable to calculate derivative with respect to parameters describing the polarized bidirectional refection distribution function. The new feature of the MCC++ model is significant in modeling of data of nadir-viewing satellite instruments for retrieval of aerosol and surface properties and may be applied for interpretation of backscattered radiance measurements of SCIAMACHY, OMI, GOME2, TOMS, and polarimetric measurements of POLDER. Formalizm for Monte Carlo calculation of the BRDF surface derivatives and examples of simulated BRDF surface weighting functions for multi-angle measurements are presented.

 

Full paper

Keywords: ESA European Space Agency - Agence spatiale europeenne, observation de la terre, earth observation, satellite remote sensing, teledetection, geophysique, altimetrie, radar, chimique atmospherique, geophysics, altimetry, radar, atmospheric chemistry