L. Cipelletti, MONTE-CARLO MULTIPLE-SCATTERING SIMULATION AND DATA CORRECTION IN SMALL-ANGLE STATIC LIGHT-SCATTERING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 7733-7740
Monte Carlo methods usually employed for gamma- and x-ray problems hav
e recently been utilized for simulating multiple Rayleigh light scatte
ring to all orders. Here a technique is discussed to separate the two-
dimensional problem of generating the polar and azimuthal scattering a
ngles into two independent one-dimensional samplings, thus increasing
the computational efficiency. Although the method has quite a general
applicability, this paper is focused on small-angle light-scattering s
imulations, and an artifice is introduced which reduces the inherent p
oor efficiency of the polar angle sampling in conjunction with differe
ntial scattering cross sections that are sharply peaked in the forward
direction. As a test, the technique was used to correct two sets of e
xperimental data affected by multiple scattering. Microporous membrane
filters under quasi-index-matching conditions were investigated, and
two stacks of different thickness were used. While the raw data are of
course appreciably different for different sample thicknesses, the co
rrected scattered intensity distributions are the same, thus providing
evidence of the method effectiveness in retrieving the single-scatter
ed intensity distributions.