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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 18, Iss. 11 — Nov. 1, 2001
  • pp: 1601–1611

Multimode emission in inhomogeneously broadened ring lasers

Eugenio Roldán, Germán J. de Valcárcel, Fernando Silva, and Franco Prati  »View Author Affiliations

JOSA B, Vol. 18, Issue 11, pp. 1601-1611 (2001)

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The threshold for multilongitudinal-mode emission in inhomogeneously broadened ring lasers is analytically investigated. In the homogeneous limit the multimode instability corresponds to the classical Risken–Nummedal–Graham–Haken instability. It is found that by increasing the inhomogeneous linewidth, the instability threshold is decreased and the growth of high-frequency side modes is favored. In the limit where the population-inversion decay rate γ is much smaller than the polarization decay rate γ (class B lasers), analytical expressions for the instability threshold are found, which are then generalized to three-level lasers for a comparison with experimental results obtained with erbium-doped fiber lasers. It is shown that even in class B lasers a full Maxwell–Bloch description (in opposition to a rate-equations approach) is necessary when the free spectral range of the cavity is less than (γ/γ)1/4γ.

© 2001 Optical Society of America

OCIS Codes
(140.3430) Lasers and laser optics : Laser theory
(140.3510) Lasers and laser optics : Lasers, fiber
(140.3560) Lasers and laser optics : Lasers, ring
(190.3100) Nonlinear optics : Instabilities and chaos

Eugenio Roldán, Germán J. de Valcárcel, Fernando Silva, and Franco Prati, "Multimode emission in inhomogeneously broadened ring lasers," J. Opt. Soc. Am. B 18, 1601-1611 (2001)

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  1. H. Risken and K. Nummedal, “Instability of off resonance modes in lasers,” Phys. Lett. 26A, 275–276 (1968). [CrossRef]
  2. H. Risken and K. Nummedal, “Self-pulsing in lasers,” J. Appl. Phys. 39, 4662–4672 (1968). [CrossRef]
  3. R. Graham and H. Haken, “Quantum theory of light propagation in a fluctuating laser-active medium,” Z. Phys. 213, 420–450 (1968). [CrossRef]
  4. E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, “Experimental observation of the Risken–Nummedal–Graham–Haken multimode laser instability,” Phys. Rev. A 56, 4086–4093 (1997). [CrossRef]
  5. B. Segard and B. Macke, “Self-pulsing in intrinsic optical bistability with two-level molecules,” Phys. Rev. Lett. 60, 412–415 (1988). [CrossRef] [PubMed]
  6. B. Segard, B. Macke, L. A. Lugiato, F. Prati, and M. Brambilla, “Multimode instability in optical bistability,” Phys. Rev. A 39, 703–722 (1989). [CrossRef] [PubMed]
  7. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995).
  8. P. Mandel, Theoretical Problems in Cavity Nonlinear Optics (Cambridge University, Cambridge, UK, 1997).
  9. L. M. Narducci and N. B. Abraham, Laser Physics and Laser Instabilities (World Scientific, Singapore, 1988).
  10. L. M. Narducci, J. R. Tredice, L. A. Lugiato, N. B. Abraham, and D. K. Bandy, “Mode–mode competition and unstable behavior in a homogeneously broadened ring laser,” Phys. Rev. A 33, 1842–1854 (1986). [CrossRef] [PubMed]
  11. Ya. I. Khanin, Principles of Laser Dynamics (Elsevier, Amsterdam, 1995).
  12. E. M. Pessina, F. Prati, J. Redondo, E. Roldán, and G. J. de Valcárcel, “Multimode instability in ring fiber lasers,” Phys. Rev. A 60, 2517–2528 (1999). [CrossRef]
  13. T. Voigt, M. O. Lenz, and F. Mitschke, “Risken–Nummedal–Graham–Haken instability finally confirmed experimentally,” Proc. SPIE 4429, 112–115 (2001). [CrossRef]
  14. E. Roldán and G. J. de Valcárcel, “On the Observability of the Risken–Nummedal–Graham–Haken multimode instability in erbium-doped Fiber Lasers,” Europhys. Lett. 43, 255–260 (1998). [CrossRef]

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