Bidirectional reflectance spectroscopy. I - Theory

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Spectroscopy, Bidirectional Reflectance, Planetary Surfaces, Radiative Transfer, Spectral Reflectance, Integral Equations, Isotropic Media, Light Scattering, Limb Darkening, Optical Reflection, Scattering Coefficients, Spectrum Analysis

Scientific paper

An approximate analytic solution is derived for the radiative transfer equation describing particulate surface light scattering, taking into account multiple scattering and mutual shadowing. Analytical expressions for the following quantities are found: bidirectional reflectance, radiance coefficient and factor, the normal, Bond, hemispherical, and physical albedos, integral phase function and phase integral, and limb-darkening profile. Scattering functions for mixtures can be calculated, as well as corrections for comparisons of experimental transmission or reflection spectra with observational planetary spectra. The theory should be useful for the interpretation of reflectance spectroscopy of laboratory surfaces and the photometry of solar system objects.

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