The shadow effect for a planetary surface with Gaussian mesorelief

Mathematics – Probability

Scientific paper

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Azimuth, Light Scattering, Optical Properties, Planetary Surfaces, Surface Roughness, Computerized Simulation, Self Shadowing, Shadowgraph Photography

Scientific paper

The Smith-Fuks method of calculating the shadow effect for a rough, planet-type surface is generalized for the case which takes into account a correlation for the propagation of incident and emergent light rays. The probability that surface points are both illuminated and visible is obtained for arbitrary azimuth and incident and emergent angles. For large angles of incidence and emergence the azimuth dependence has a sharp surge at the zero azimuth angle, which resembles the opposition effect of atmosphereless celestial bodies. A comparison of calculations and computer simulation shows satisfactory agreement.

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