Mi. Mishchenko et al., T-MATRIX COMPUTATIONS OF LIGHT-SCATTERING BY NONSPHERICAL PARTICLES -A REVIEW, Journal of quantitative spectroscopy & radiative transfer, 55(5), 1996, pp. 535-575
We review the current status of Waterman's T-matrix approach which is
one of the most powerful and widely used tools for accurately computin
g light scattering by nonspherical particles, both single and composit
e, based on directly solving Maxwell's equations. Specifically, we dis
cuss the analytical method for computing orientationally-averaged ligh
t-scattering characteristics for ensembles of nonspherical particles,
the methods for overcoming the numerical instability in calculating th
e T matrix for single nonspherical particles with large size parameter
s and/or extreme geometries, and the superposition approach for comput
ing light scattering by composite/aggregated particles. Our discussion
is accompanied by multiple numerical examples demonstrating the capab
ilities of the T-matrix approach and showing effects of nonsphericity
of simple convex particles (spheroids) on light scattering.