Correlations of Stokes parameters under parametric scattering in a lossy crystal and ghost imaging based on them

A quantum theory of parametric scattering is developed for the generation of bright light in an optically nonlinear crystal with lossy. The mean values and variances of the Stokes parameters of the scattered field, as well as their mutual correlations have been calculated. For this purpose we have used the method of separation of correlated and uncorrelated parts in the Bose operators with crystal fluctuations associated with lossy. The results obtained are used to implement ghost imaging of scattering object, the properties of which are described by the Mueller matrix; the features of the scheme under consideration is discussed.