K. Muinonen et al., LIGHT-SCATTERING BY GAUSSIAN RANDOM PARTICLES - RAY OPTICS APPROXIMATION, Journal of quantitative spectroscopy & radiative transfer, 55(5), 1996, pp. 577-601
We model the shapes of irregular small particles using multivariate lo
gnormal statistics (Gaussian random shape), and compute absorption and
scattering cross sections, asymmetry parameters, and scattering phase
matrices in the ray optics approximation. The random shape is fully d
escribed by the autocovariance function, which can be conveniently mod
eled by two statistical parameters: the standard deviation of radius a
nd the correlation length of angular variations. We present an efficie
nt spherical harmonics method for generating sample Gaussian random pa
rticles, and outline a ray tracing algorithm that can be adapted to al
most arbitrary, mathematically star-like particles. We study the scatt
ering and absorption properties of Gaussian random particles much larg
er than the wavelength by systematically varying their statistical par
ameters and complex refractive indices. The results help us understand
, in part, light scattering by solar system dust particles, and thereb
y constrain the physical properties of, for example, asteroid regolith
s and cometary comae.