Regularization of size spectrum reconstruction problem for intensive absorbing aerosol particles by the errors of light scattering models

The problem is considered of the size spectrum reconstruction by the inversion of the spectral course of electromagnetic radiation's decrement for intensively absorbing aerosol particles in lower atmospheric layers near sources of aerosol pollution. The set of decrements for different wavelengths is approximated by a quadratic dependence for determining the equivalent system of linear algebraic equations (obtained from the initial 1st kind integral equation). It is found that the error of approximation decreases in the case of increase of large particles in the aerosol. The dependence of this error from the particle size distribution parameters is determined. It allows one to use the value of the approximation error for regularization of the integral equation.