Three dimensional localized dissipative structures formation in quadratic media

This work reports on three-dimensional localized structures or light drops formation in the fully degenerate optical parametric oscillator. This investigation also shows a new dynamical regime associated with a time-oscillatory instability affecting these localized structures.

When diffraction and dispersion have a comparable influence in the nonlinear ring cavity, three-dimensional dissipative structures are formed. They consist of either periodic crystals or localized light drops (or bullets) [1]. Recently, three-dimensional localized structures have been found in a non mean-field model describing a nonlinear resonator with a saturable absorber [2]. In this system chromatic dispersion plays a negligible role and localized structures are formed in the transverse and longitudinal directions.