Abstract
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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References
V. DeGiorgio and M. O. Scully, Phys. Rev. A2, 1170 (1970);
R. Graham and H. Haken, Z. Phys. 237, 31 (1970);
R. Graham, Prog. Opt. 12, 235 (1974).
P. H. Lee, P. B. Schoefer and W. B. Barker, Appl. Phys. Lett. 13, 373 (1968);
V. N. Lisitsyn and V. P. Chebotaev, Zh. Eksp. Teor. Fiz. Pis’ma 7, 3 (1968)
V. N. Lisitsyn and V. P. Chebotaev, [Sov. Phys. JETP Lett. 7, 1 (1968)].
H. Greenstein, J. Appl. Phys. 43, 1732 (1972);
R. Salomaa and S. Stenholm, Phys. Rev. A8, 2695 (1973);
R. Salomaa and S. Stenholm, Phys. Rev. A8, 2711 (1973);
A. P. Kazantsev, S. G. Rautian and G. I. Surdutovich, Zh. Eksp. Teor. Fiz. 54, 1409 (1968)
A. P. Kazantsev, S. G. Rautian and G. I. Surdutovich, [Sov. Phys. JETP 27,756 (1968)].
L. A. Lugiato, P. Mandel, S. T. Dembinski and A. Kossakowski, Phys. Rev. A8, 238 (1978);
S. T. Dembinski, A. Kossakowski, L. A. Lugiato and P. Mandel, Phys. Rev. A/8, 1145 (1978).
J. F. Scott, M. Sargent III and C. D. Cantrell, Opt. Commun. 15, 13 (1975).
S. T. Dembinski and A. Kossakowski, Z. Phys. B 25, 207 (1976).
R. Salomaa, J. Phys. A: Gen. Phys. 7, 1094 (1974).
A. P. Kazantsev and G. I. Surdutovich, Zh. Eksp. Teor. Fiz. 58, 245 (1970)
A. P. Kazantsev and G. I. Surdutovich, [Sov. Phys. JETP 31, 133 (1970)
F. Casagrande and L. A. Lugiato, Nuovo Cimento B 48, 287 (1978);
P. Mandel, Phys. Rev. A2/, 2020 (1980).
R. Roy, Phys. Rev. A20, 2093 (1979).
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).
D. Walgraef, P. Borckmans and G. Dewel, Z. Phys. B 30, 437 (1978).
J. C. Antoranz and M. G. Velarde, Opt. Commun. 38, 61 (1981).
R. B. Griffiths, Phys. Rev. Lett. 24, 715 (1970).
R. D. Hempstead and M. Lax, Phys. Rev. 161, 350 (1967).
H. Risken and H. D. Vollmer, Z. Phys. 201, 323 (1967).
S. T. Dembinski, A. Kossakowski and L. Wolniewicz, Z. Phys. B 27, 281 (1977).
S. T. Dembinski, A. Kossakowski, L. Wolniewicz, L. A. Lugiato and P. Mandel, Z. Phys. B 32, 107 (1978);
K. Stefanski, Nuovo Cimento B 54, 435 (1979).
S. T. Dembinski, A. Kossakowski, P. Peplowski, L. A. Lugiato and P. Mandel, Phys. Lett. A 68, 20 (1978).
R. Kubo, K. Matsuo and K. Kitahara, J. Stat. Phys. 9, 51 (1973).
S. Ruschin and S. H. Bauer, Chem. Phys. Lett. 66, 100 (1979).
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© 1984 Springer Science+Business Media New York
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Englund, J.C., Schieve, W.C. (1984). Spectral Properties of Tricritical Lasers. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0605-5_29
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DOI: https://doi.org/10.1007/978-1-4757-0605-5_29
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