Ivasiv I. Modelling the characteristics of light scattering for numerical estimation of aerosol’s disperse composition .

3. Object of research: models of aerosol light scattering and numerical methods for estimation aerosol’s disperse composition. Purpose of research: development of the ade- quate simplified models aerosol light scattering and on the ir basis - algorithms for estimation of aerosol’s disperse composition in near ground atmospheric layers near to so- urces of pollution. Methods of research: the functional analysis and theory of integral equations, computer modeling. Results of researches: it is proposed mathematical model of light scattering for aerosols containing large intensive absorbing partiсles with approximation of spectral dependence of aerosol extinction coefficient for 0.5-1.5 micron by quadratic polynomial; the methodology of an estimation of region of possible solutions and initial approximations for the equation of aerosol light scattering on the base of properties of shift error for approximation of spectral dependence of aerosol extinction coefficient is offered; the variant of Ivanov quasi solution method for integral equation of aerosol extinction is developed on the base of algebaization by elaborated projective histogram method and minimization of discrepancy in 2nd order Sobolev space; the effective procedures and algorithm for calibration of dust measuring devices taking into account a discrete data acquisition and limited sampling time are elaborated, and allow to reduce essential an error of calibration. The results are introduced into production. Usage: ecological, sanitary and technological monitoring in coal, chemical, building, food-processing industry and power.