Abstract

We develop a modification of the T-matrix method that allows for fast calculations of scattering properties of particles with irregular shapes. This modification uses the so-called $Sh$ matrices, the elements of which depend on the shape of particles and do not depend on the particle size or optical constants; i.e., the introduction of $Sh$ matrices makes possible the separation of these parameters within the T-matrix algorithm. For a given shape of a scattering object we calculate the $Sh$ matrices only once and then can quickly calculate the T-matrix elements for a number of sizes and refractive indices. This, in particular, can provide rapid particle-size and refractive index averaging in a particle ensemble. This separation is useful for the derivation of an analytical light-scattering solution for Chebyshev particles.

© 2007 Optical Society of America

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