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Updated: Jun 10, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Phase matrix for light scattering by concentrically stratified spheres: comparison of geometric optics and the
Yoshihide Takano1, Kuo-Nan Liou
1Joint Institute for Earth System Science and Engineering, and Department of Atmospheric and Oceanic Sciences, University of California, Los Angeles, California 90095, USA. ytakano@atmos.ucla.edu
Abstract:
We have developed a hit-and-miss Monte Carlo geometric ray-tracing program to compute the scattering phase matrix for concentrically stratified spheres. Using typical refractive indices for water and aerosols in the calculations, numerous rainbow features appear in the phase matrix that deviate from the results calculated from homogeneous spheres. In the context of geometric ray tracing, rainbows and glory are identified by means of their ray paths, which provide physical explanation for the features produced by the "exact" Lorenz-Mie theory. The computed results for the phase matrix, the single-scattering albedo, and the asymmetry factor for a size parameter of approximately 600 compared closely with those evaluated from the "exact" theory.
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