title: Analytical light-scattering solution for Chebyshev particles.
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.
authors.affiliation: Astronomical Institute, V. N. Karazin Kharkov National University, 35 Sumskaya Street, Kharkov 61022, Ukraine. petrov@astron.kharkov.ua
authors.forename: Dmitriy
authors.initials: D
authors.lastname: Petrov
authors.forename: Yuriy
authors.initials: Y
authors.lastname: Shkuratov
authors.forename: Gorden
authors.initials: G
authors.lastname: Videen
mesh_terms: D000465:Algorithms; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008027:Light; D008956:Models, Chemical; D009391:Nephelometry and Turbidimetry / Q000379:methods*; D010316:Particle Size; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation
chemical_list: D003102:Colloids