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 in [James et al., 1990b, Magni et al., 1993], is analyzed. It is found that when the crosssaturation 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. Short title: Elimination of Chaos in Multimode, Intracavity-doubled...