Transfer of radiation in the artificial barium cloud at its photoionization by the sunlight

The process of scattering of light by an artificial barium cloud is modeled at its photoionization by a broadband sunlight. The problem is described by a system of the balance equations of multilevel atoms and ions and the equation of transfer of radiation. The received system has the integro-differential nature. The numerical method of its decision is developed for the spherical-symmetric cloud. The photoexcitation and photoionization kinetic, frequency-angular and a spatial-time characteristics scattered by cloud of the sunlight is investigated when the transfer of radiation was taken into account on atomic ($\lambda =553.5$ nm) transition and three ionic transitions ($\lambda =455.4$ nm, 493.4 nm, 614.2 nm). The behavior of brightness dynamics of a cloud in atomic and ionic resonant lines is qualitatively coincides to results of the natural experiments.