Vector model of a ring solid-state laser taking into account the spatial inhomogeneity of the pump and radiation field

A system of equations of the vector model of ring solid-state lasers is derived taking into account the inhomogeneity of the pump transverse distribution and fields of counterpropagating waves. The model under study well describes the experimental dependence of the phase shift of self-modulations oscillations on the pump excess over the threshold. It is shown that the inhomogeneity of the transverse distributions of fields of counterpropagating waves and the inhomogeneity of the permittivity of the intracavity medium can lead to the appearance of frequency and amplitude nonreciprocities in a solid-state laser.