Vol. 5, issue 03, article # 8

Veretennikov V. V., Yausheva E. P. On the use of the Stieltjes integrals in the solution of the inverse problems for aerosol light scattering. // Atmospheric and oceanic optics. 1992. V. 5. No. 03. P. 180-185.    PDF
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Abstract:

A new numerical scheme has been proposed for reconstructing the microstructure and the refractive index of aerosol from the angular measurements of scattering matrix components. The inversion method is based on representation of the polydisperse characteristics of scattering in the form of the Stieltjes integrals and minimization of the discrepancy functional on a set of monotone bounded functions. Such an approach impose no restrictions on the smoothness of aerosol microstructural distributions. Moreover, it is not necessary to solve the problem on choosing a regularization parameter. The results of numerical modeling of the inverse problem are given as well as an example of the interpretation from the data of field experiments.