Defining the shape of particles based on the polarisation state of the scattered optical radiation

Vladimir P. Budak; Sergey V. Korkin; Konstantin N. Korolev

doi:10.1117/12.830487

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29 September 2009 To define the form of particles on a polarization state of the scattering optical radiation

Vladimir P. Budak, Sergey V. Korkin, Konstantin N. Korolev

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Proceedings Volume 7475, Remote Sensing of Clouds and the Atmosphere XIV; 747519 (2009) https://doi.org/10.1117/12.830487
Event: SPIE Remote Sensing, 2009, Berlin, Germany

Abstract

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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Vladimir P. Budak, Sergey V. Korkin, and Konstantin N. Korolev "To define the form of particles on a polarization state of the scattering optical radiation", Proc. SPIE 7475, Remote Sensing of Clouds and the Atmosphere XIV, 747519 (29 September 2009); https://doi.org/10.1117/12.830487

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