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Optics Letters

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  • Vol. 29, Iss. 9 — May. 1, 2004
  • pp: 1022–1024

Statistical-mechanics theory of active mode locking with noise

Ariel Gordon and Baruch Fischer  »View Author Affiliations


Optics Letters, Vol. 29, Issue 9, pp. 1022-1024 (2004)
http://dx.doi.org/10.1364/OL.29.001022


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Abstract

Actively mode-locked lasers with noise are studied employing statistical mechanics. A mapping of the system to the spherical model (related to the Ising model) of ferromagnets in one dimension that has an exact solution is established. It gives basic features, such as analytical expressions for the correlation function between modes, and the widths and shapes of the pulses [different from the Kuizenga–Siegman expression; IEEE J. Quantum Electron. QE-6, 803 (1970)] and reveals the susceptibility to noise of mode ordering compared with passive mode locking.

© 2004 Optical Society of America

OCIS Codes
(000.6590) General : Statistical mechanics
(140.3430) Lasers and laser optics : Laser theory
(140.4050) Lasers and laser optics : Mode-locked lasers

Citation
Ariel Gordon and Baruch Fischer, "Statistical-mechanics theory of active mode locking with noise," Opt. Lett. 29, 1022-1024 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-9-1022


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References

  1. D. I. Kuizenga and A. E. Siegman, IEEE J. Quantum Electron. QE-6, 803 (1970).
  2. A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901 (2002).
  3. A. Gordon and B. Fischer, Opt. Commun. 223, 151 (2003).
  4. A. Gordon and B. Fischer, Opt. Lett. 18, 1326 (2003).
  5. T. H. Berlin and M. Kac, Phys. Rev. 86, 821 (1952).
  6. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford U. Press, Oxford, UK, 1971).
  7. H. A. Haus and A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
  8. H. A. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
  9. H. Risken, The Fokker–Planck Equation, 2nd ed. (Springer-Verlag, Berlin, 1989).
  10. H. E. Stanley, Phys. Rev. 179, 570 (1969).

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