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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 1785–1792

Nonlinear dynamics of a modulated bidirectional solid-state ring laser

Fuad Rawwagah and Surendra Singh  »View Author Affiliations


JOSA B, Vol. 23, Issue 9, pp. 1785-1792 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001785


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Abstract

We investigate the dynamical behavior of a class-B, bidirectional, solid-state ring laser with a square-wave modulated pump. Our treatment includes the coupling of oppositely directed traveling wave modes via backscattering in addition to their coupling via the gain medium. We find that depending on the pump ratio and the depth and frequency of modulation, the intensity waveforms of the two oppositely directed modes may exhibit periodic, quasi-periodic, and chaotic behavior. We also find that although the periodic waveforms of mode intensities are antisynchronized, chaotic waveforms may be synchronized or unsynchronized. A detailed map of different operating regimes as functions of frequency and depth of modulation is presented. Curves are presented to illustrate the behavior.

© 2006 Optical Society of America

OCIS Codes
(140.1540) Lasers and laser optics : Chaos
(140.3580) Lasers and laser optics : Lasers, solid-state
(270.3100) Quantum optics : Instabilities and chaos
(270.3430) Quantum optics : Laser theory

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: November 28, 2005
Manuscript Accepted: April 26, 2006

Citation
Fuad Rawwagah and Surendra Singh, "Nonlinear dynamics of a modulated bidirectional solid-state ring laser," J. Opt. Soc. Am. B 23, 1785-1792 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-9-1785


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References

  1. G. V. Perevdentseva, P. A. Khandokin, and Ya. I. Khanin, "Theory of a single-frequency solid-state ring laser," Sov. J. Quantum Electron. 10, 71-74 (1980). [CrossRef]
  2. D. V. Ivanov, Ya. I. Khanin, I. I. Martorin, and A. S. Pikovsky, "Chaos in a solid-state laser with periodically modulated losses," Phys. Lett. A 89, 229-230 (1982). [CrossRef]
  3. P. A. Khandokin and Ya. I. Khanin, "Instabilities in a solid-state ring laser," J. Opt. Soc. Am. B 2, 226-231 (1985). [CrossRef]
  4. P. A. Khandokin and Ya. I. Khanin, "Chaotic Dynamics of a YAG:Nd laser with a ring resonator," Sov. J. Quantum Electron. 18, 1248-1251 (1988). [CrossRef]
  5. P. A. Khandokin and Ya. I. Khanin, "Interaction between relaxation oscillations and occurrence of instabilities in a class-B bidirectional laser with a nonreciprocal ring cavity," Quantum Electron. 26, 34-36 (1996). [CrossRef]
  6. W. Klische, H. R. Telle, and C. O. Weiss, "Chaos in a solid-state laser with a periodically modulated pump," Opt. Lett. 9, 561-563 (1984). [CrossRef] [PubMed]
  7. W. Klische and C. O. Weiss, "Instabilities and routes to chaos in a homogeneously broadened one- and two-mode ring laser," Phys. Rev. A 31, 4049-4051 (1985). [CrossRef] [PubMed]
  8. N. V. Kravtsov, E. G. Lariontsev, and A. N. Shelaev, "Oscillation regimes of ring solid-state lasers and possibilities for their stabilization, Laser Phys. 3, 21-62 (1993).
  9. D. N. Klimenko, N. V. Kravtsov, E. G. Lariontsev, and V. V. Firsov, "Synchronisation of dynamic chaos in counterpropagating ring-laser waves," Quantum Electron. 27, 631-634 (1997). [CrossRef]
  10. E. G. Lariontsev, "Switching of synchronized chaotic oscillations in a modulated solid-state ring laser," Opt. Express 2, 198-203 (1998). [CrossRef] [PubMed]
  11. P. A. Andreyev, S. V. Kruzhalov, L. N. Pakhomov, and V. Yu Petrun'kin, "Stability conditions for one-frequency oscillation in ring lasers," Sov. J. Commun. Technol. Electron. 30, 131-133 (1985).
  12. H. Zeghlache and P. Mandel, N. B. Abraham, L. M. Hoffer, G. L. Lippi, and T. Mello, "Bidirectional ring laser: stability analysis and time-dependent solutions," Phys. Rev. A 37, 470-497 (1988). [CrossRef] [PubMed]
  13. F. Hollinger and C. Jung, "Single-longitudinal-mode laser as a discrete dynamical system," J. Opt. Soc. Am. B 2, 218-225 (1985). [CrossRef]
  14. N. B. Abraham and C. O. Weiss, "Dynamical frequency shifts and intensity pulsations in an FIR bidirectional ring laser," Opt. Commun. 68, 437-441 (1988). [CrossRef]
  15. T. M. Shen and G. P. Agrawal, "Pulse-shape effects on frequency chirping in single-frequency semiconductor lasers under current modulation," J. Lightwave Technol. LT-4, 497-503 (1986). [CrossRef]
  16. M. Sargent III, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, 1974).
  17. S. Singh and L. Mandel, "Mode competition in a homogeneously broadened ring laser," Phys. Rev. A 20, 2459-2463 (1979). [CrossRef]
  18. L. Mandel, R. Roy, and S. Singh, "Optical bistability effects in a dye ring laser," in Optical Bistability, C.M.Bowden, M.Ciftan, and H.Robl, eds. (Plenum, 1981), pp. 127-150.
  19. P. Lett, W. Christian, S. Singh, and L. Mandel, "Macroscopic quantum fluctuations and first-order phase transition in a laser," Phys. Lett. 47, 1892-1895 (1981). [CrossRef]
  20. I. I. Zolotoverkh, D. N. Klimenko, and E. G. Lariontsev, "Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser," Quantum Electron. 26, 609-613 (1996). [CrossRef]
  21. I. I. Zolotoverkh and E. G. Lariontsev, "Influence of the amplitude nonreciprocity of the cavity on the characteristics of self-modulation oscillations in a solid-state ring laser," Quantum Electron. 26, 604-608 (1996). [CrossRef]
  22. I. I. Zolotoverkh, D. N. Klimenko, N. V. Kravtsov, E. G. Lariontsev, and V. V. Firsov, "Parametric processes and multistability in a ring chip laser with periodic pump modulation," Quantum Electron. 26, 914-918 (1996). [CrossRef]
  23. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining Lyapunov exponents from a time series," Physica D 16, 285-317 (1985). [CrossRef]
  24. A. A. Tsonis, Chaos: From Theory to Applications (Plenum, 1992).

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