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A quantum theory of self-convers of the lasing frequency in active nonlinear crystals placed in a cavity is developed. The generation of nonclassical (quadrature squeezed) light upon self-doubling of the laser radiation frequency is studied in detail, with no limitations on the relations between the relaxation times of the inverse population and the polarization of the medium and the lifetime of a photon in the cavity. The fluctuation spectra of the quadrature components of the fields of the laser radiation and its second harmonic are studied in dependence on the pumping parameters and the parameters of the cavity. Numerical calculations are performed for a Nd:Mg:LiNbO 3 crystal with a regular domain structure. © 2003 MAIK "Nauka/Interperiodica".

A theory is developed to describe sequential quasi-synchronous wave interactions in an active non-linear medium with a regular domain structure inside a cavity. In particular, sequential processes of quasi-synchronous third-harmonic generation and quasi-synchronous parametric amplification that occur in a Nd:Mg:LiNbO3 crystal with a regular domain structure under low-frequency pumping are analyzed. The efficiency of these nonlinear optical processes is studied as a function of both the reflection coefficient of the exit mirror and the linear loss in the medium.