Radiative transfer models for light scattering from planetary surfaces

Physics

Scientific paper

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Electromagnetics: Random Media And Rough Surfaces, Planetology: Solid Surface Planets: Surface Materials And Properties, Planetology: Comets And Small Bodies: Remote Sensing, Planetology: Solar System Objects: General Or Miscellaneous

Scientific paper

New, accurate numerical solutions of the radiative transfer equation are compared with the Hapke [1981, 1984, 1986] analytic approximation, which is widely used in planetary data analyses. The numerical solutions use the Ambartsumian invariance principle as do the well-known Chandrasekhar [1960] H function solutions. The invariance principle has been reexpressed in a form which allows high order-accurate numerical integrations without any required interpolations. The new numerical solutions reproduce the Chandrasekhar H function solutions for Legendre phase functions but also allow single-scattering phase functions of arbitrary form. Accurate numerical solutions of the radiative transfer equation for Henyey-Greenstein phase functions reveal that the errors in the Hapke model for estimating bidirectional reflectance values range from <2% rms for dark surfaces like the Moon to <7% rms for bright surfaces such as Europa. Further comparisons demonstrate that Hapke model fitting procedures estimate single particle scattering albedo values to within <3% for both dark and bright surfaces.

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