N-fold scattering series for Kolmogorov equation
arXiv:1601.02952
Abstract
We consider a formulation of initial problem for Kolmogorov equation that corresponds a localized source of particles to be scattered by medium with given scattering amplitude density (scattering indicatrix). The multiple scattering expansion and amplitudes are introduced and the corresponding series solution of the equation is constructed. We investigate the multiple integral representation for the series terms, transform it into a form, convenient for estimations and prove convergence of the series. An application to light beam scattering and LIDAR problem solution is outlined.
13 pages, seminar at Atomic Physics Division Department of Atomic, Molecular and Optical Physics Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gdańsk, Poland