Multivalued solutions for the output intensity of a semilinear photorefractive oscillator and stability analysis

摘要

The analysis of pump-ratio dependences of the output intensity for a semilinear photorefractive coherent oscillator reveals two domains of multivalued solutions for sufficiently large coupling strength ensured by the crystal. We show that even in a strictly degenerate case the nonzero output intensity can be reached in a broad range of pump ratios r from 10(-6) to infinity, including the interval where both pump intensities coincide or are very close to each other. This does not contradict the existence of the known gap in the oscillation threshold near the equal intensities of two pump waves: in this particular region the oscillation is not self-starting. The output intensities for frequency degenerate oscillation are calculated analytically in the standard plane-wave approximation of backward-wave four-wave mixing and numerical simulations are used to analyze the stability of multivalued solutions. (c) 2007 Optical Society of America.