Formation of the angular dependence of intensity of the light scattered on the optically dense atomic ensemble

The probe light scattering on the cold optically dense atomic ensemble is studied theoretically in the paper. In order to describe multiple scattering of light in the context of quantum electrodynamics, the Konstantinov–Perel–Keldysh diagram technique has been used. This technique allows to rewrite the considered case of light scattering in terms of diagram series where each term describes incoherent scattering of certain order. Decoding these terms allowed us to obtain the explicit analytical expression for the cross-section of multiple incoherent scattering for the case of stationary two-level atoms (transition J_g = 0 → J_e = 1). The numerical analysis of this expression carried out by applying the Monte-Carlo simulation made it possible to find an influence of different orders of scattering on forming the angular dependence of scattered light intensity.