Statistics – Computation
Scientific paper
May 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..55..603m&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 55, issue 5, pp. 603-613
Statistics
Computation
16
Scattering: Radiative Transfer
Scientific paper
The author studies absorption and scattering by Gaussian random particles in the Rayleigh and Rayleigh-Gans approximations. The random shape is characterized by the autocovariance function, usually parameterized by the standard deviation of radius and the correlation length of angular variations. As for the Rayleigh-Gans approximation, the author outlines a Monte Carlo algorithm that can be adjusted for almost arbitrary, mathematically star-like particles in random orientation. The algorithm is computationally constrained to particles with size parameters less than about five. The author examines how the autocovariance function affects the scattering and absorption properties of Gaussian particles, and compare to the Rayleigh-Gans solution for spheres. By ensemble-averaging the volume of the Gaussian particle, the author develops criteria for the validity of the Rayleigh and Rayleigh-Gans approximations. The results help us understand, in part, light scattering by small particles in planetary atmospheres and cometary comae.
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