Features of retrieval of microstructural parameters of aerosol from measurements of aerosol optical depth. Part I. Technique for solving the inverse problem

Annual cycle in the variability of aerosol microstructure parameters according to solar photometry data

“…The inverse problem was solved using the algorithm [5] developed based on the method of integral distribu tions. For the unknown function, the algorithm [5] involves the total geometric cross section of particles S(r) that are contained in a unit area vertical column of the atmosphere and have a radius larger or equal to r. Using integral aerosol particle size distributions for describing the aerosol microstructure makes it possible to retrieve an approximate stable solution of the inverse problem by minimization of the residual functional on a set of monotonic bounded functions without any additional restrictions upon the sought solution and involving special regularizing procedures.…”

“…To obtain information about parameters of the aerosol microstructure in a vertical column of the atmosphere by data of solar spectrometry, we devel oped a software package [5] for solving the inverse problem based on the integral distribution method [6]. For the microstructure parameters retrieved by the aerosol optical depth (AOD) in the process of inver sion, we consider volume concentration, geometric cross section, and average radius of aerosol particles integrated over the entire thickness of the atmosphere.…”