Abstract
A unified colored-noise approximation, a novel approximative theory, is applied to solve the colored gain model for dye laser. The stationary probability of the colored gain model is derived. The first-order-like transition is discussed. The effect of the noise correlation time on the first-order-like transition is analysed. It's found that the size of the regions in the parameter plane is related with and three different regions are turned into two different regions in the parameter plane as . By comparison, we find that the results of the unified colored-noise approximation are more close to simulation's results than those of the best Fokker-Planck equation.
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