Elimination of Chaos in Multimode, Intracavity-doubled Lasers in the Presence of Spatial Hole-burning

In this paper possibilities of a stabilization of large amplitude fluctuations in an intracavity-doubled solid-state laser are studied. The modification of the cross-saturation coefficient by the effect of spatial hole-burning is taken into account. The stabilization of the laser radiation by an increase of the number of modes, as proposed by James et al. (1990) and Magni et al. (1993), is analyzed. It is found that when the cross-saturation coefficient is modulated by the spatial hole-burning the stabilization is not always possible. We propose a new way of obtaining a stable steady-state configuration based on an increase of the strength of nonlinearity, which leads to a strong cancellation of modes, so that during the evolution all of the modes, but a single one, are canceled. Such a steady-state solution is found to be stable with respect to small perturbations.