Spectral Properties of Tricritical Lasers
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It is by now well-known that the laser threshold can be considered a non-equilibrium analogy to a second-order phase transition point in equilibrium systems.1 With the addition of a saturable intracavity absorber, this behavior may be replaced by optical bistability, in which a hysteresis cycle is observed2; this has been explained theoretically by several authors, for standing-wave Doppler-broadened lasers3 and for running-wave homogeneously broadened lasers4, on the basis of semiclassical theory. It has been shown, however, that the bistable behavior is, strictly speaking, a transient phenomenon and that the presence of noise sources leads to behavior that is analogous to a first-order phase transition.5,6 The field statistics have been modelled on the basis of both Fokker-Planck equations4,7,8 and birth-death equations9 to demonstrate this analogy. It is important to point out, however, that the relaxation to this steady state takes place very slowly7,10, through “tunneling”, and only the hysteresis-cycle behavior has been observed experimentally.
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- 1.V. DeGiorgio and M. O. Scully, Phys. Rev. A2, 1170 (1970);Google Scholar
- R. Graham, Prog. Opt. 12, 235 (1974).Google Scholar
- V. N. Lisitsyn and V. P. Chebotaev, Zh. Eksp. Teor. Fiz. Pis’ma 7, 3 (1968)Google Scholar
- V. N. Lisitsyn and V. P. Chebotaev, [Sov. Phys. JETP Lett. 7, 1 (1968)].Google Scholar
- A. P. Kazantsev, S. G. Rautian and G. I. Surdutovich, Zh. Eksp. Teor. Fiz. 54, 1409 (1968)Google Scholar
- A. P. Kazantsev, S. G. Rautian and G. I. Surdutovich, [Sov. Phys. JETP 27,756 (1968)].Google Scholar
- 4.L. A. Lugiato, P. Mandel, S. T. Dembinski and A. Kossakowski, Phys. Rev. A8, 238 (1978);Google Scholar
- S. T. Dembinski, A. Kossakowski, L. A. Lugiato and P. Mandel, Phys. Rev. A/8, 1145 (1978).Google Scholar
- 8.A. P. Kazantsev and G. I. Surdutovich, Zh. Eksp. Teor. Fiz. 58, 245 (1970)Google Scholar
- P. Mandel, Phys. Rev. A2/, 2020 (1980).Google Scholar
- 10.J. C. Englund, R. R. Snapp and W. C. Schieve, Fluctuations, Instabilities and Chaos in the Laser-Driven Nonlinear Ring Cavity, in Progress in Optics (to appear).Google Scholar