The influence of disordering of one-dimensional quasi-phase matched structures in nonlinear optical crystals on spectral
characteristics of parametric processes is studied. Two different correlation functions are introduced for describing the
random change of the sign of the second-order nonlinear susceptibility. The optimal conditions for quasi-phase matching of
the interacting waves are found. The second aim of the paper is the investigation of important features of spontaneous
parametric down-conversion (SPDC) in a homogeneous nonlinear slabs with emphasis of spatial inhomogeneity of
interacting waves (in paraxial approximation). We estimate the absolute values of the emission rate of photon pairs produced
by SPDC when all fields are in single Gaussian modes.
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