Mean first-passage time of laser phase in a single-mode laser

We study the transient properties of the laser phase in presence of the noi se-correlation identified in a recent work (Phys. Lett. A 260 (1999) 126). Numerical results of the mean first-passage time (MFPT) T of laser phase ar e obtained for a range of value of the noise intensity e and for various va lues of the correlation strength h. The main features of the MFPT of laser phase are the following. In the positive correlation region, 0 < lambda 1, the T-Q curves can be classified into four categories: They are curves that possess zero, one, two, and four extrema, respectively. In the negative co rrelation region, -1 < lambda < 0, the T-Q dependence has two types. For la mbda = -0.1 to 0, T decreases monotonously with increasing Q. In the region lambda = -0.2 to -1, the T-e curve has a maximum. (C) 2001 Elsevier Scienc e B.V. All rights reserved.