The method to define the form of particles according to remote sensing is given in this work. The method consists in
calculation of a phase matrix of environment, on the basis of the data of the solution of a direct scattering problem, by
the formulation and the solution of a inverse problem of the transport theory by the least squares method. The form of
particles is defined on the received scattering matrix. The solution of a direct scattering problem is spent on the basis of
the representation of required spatial distribution of Stokes vector-parameter in the form of superposition of an
anisotropic part and rather smooth not small-angular additive. The function of some expansion coefficients from
harmonic number is represented by the slowly varying monotonous function owing to strongly marked anisotropy of
scattering indicatrix that allows us to limit the number of members in expansion of coefficients at the generalised
spherical functions. It greatly simplifies the expressions for the coefficients of the vector equation solution of radiative
transfer in the form of matrix exponent - vector small-angular modification of spherical harmonics method (VMSH). In
calculation of the smooth additive the anisotropic part received by means of VMSH represents itself as a function of
sources.
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