Transient statistics for a good-cavity laser with swept losses

We study the statistical properties of the intensity of a good-cavity laser driven across the threshold by a linear variation in time of the cavity losses. This study is performed by using the quasideterministic theory (QDT) for two cases: In the first one, case I, the control parameter a(t) changes without bound, and in the second, case II, a(t) reaches a fixed value. The validity of QDT is then analyzed for both cases. We characterize the anomalous fluctuations by the time tₘ at which the maximum appears and by the value of this maximum σₘ. Our results show that tₘ coincides with the average of the time of maximum rate of growth of the intensity T. We show that in case I, tₘ^-1 and σₘ scale with {}v and that the relative fluctuations are given by a universal scaling function. The scaling of tₘ is in agreement with experimental studies. In case II we calculate analytically T, tₘ, and σₘ, and we show that the moments of the intensity are given through a scaling variable. All the results are checked with numerical simulations.