Reconstruction of the integral distribution function of the aerosol particle number concentration from the light scattering characteristics

Abstract

The problem is considered of determining the integral distribution function of the aerosol particle number concentration using the data of distribution function of geometrical cross-section of particles. It is assumed that the integral distribution function of the geometrical cross-section is determined from the solution of the inverse problem for the characteristics of aerosol light scattering. It is shown that the relationship between two microstructure characteristics is described by the Volterra integral equation of the 2nd kind. A finite-difference algorithm for solving the problem is proposed. The results are presented of applying the method for reconstructing the distribution function of the number concentration of smoke particles.