Experimental investigation of Risken-Nummedal-Graham-Haken laser instability in fiber ring lasers

Applied Physics B: Lasers and Optics

Volumn 79, Issue 2, 2004, Pages 175-183

  Voigt, T ^a   Lenz, M O ^a   Mitschke, F ^a   Roldan E ^b   De Valcarcel G J ^b  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ERBIUM; FEEDBACK; HYSTERESIS; OPTICAL PUMPING; OSCILLATIONS; PERTURBATION TECHNIQUES; POLARIZATION; SAPPHIRE;

ERBIUM-DOPED FIBER LASERS (EDFL); FIBER RING LASERS; LASER CAVITY;

FIBER LASERS;

EID: 3242684256     PISSN: 09462171     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00340-004-1531-5     Document Type: Article

References (34)

1. C.O. Weiss, R. Vilaseca: Dynamics of Lasers (VCH, Weinheim 1991)
2. Ya.I. Khanin: Principles of Laser Dynamics (Elsevier, Amsterdam 1995)
3. P. Mandel: Theoretical Problems in Cavity Nonlinear Optics (Cambridge University Press, Cambridge 1997)
4. O. Svelto: Principles of Lasers (Plenum, New York 1989)
5. H. Risken, K. Nummedal: Phys. Lett. A 26, 275 (1968)
6. H. Risken, K. Nummedal: J. Appl. Phys. 39, 4662 (1968)
7. R. Graham, H. Haken: Z. Phys. 213, 420 (1968)
8. F. Fontana, M. Begotti, E.M. Pessina, L.A. Lugiato: Opt. Commun. 114, 89 (1995)
9. E.M. Pessina, G. Bonfrate, F. Fontana, L.A. Lugiato: Phys. Rev. A 56, 4086 (1997)
10. Q.L. Williams, J. Garcia-Ojalvo, R. Roy: Phys. Rev. A 55, 2376 (1997)
11. E. Roldán, G.J. de Valcárcel: Europhys. Lett. 43, 255 (1998)
12. E.M. Pessina, F. Prati, J. Redondo, E. Roldán, G.J. de Valcárcel: Phys. Rev. A 60, 2517 (1999)
13. T.-M. Voigt, M.O. Lenz, F. Mitschke: Proc. SPIE 4429, 112 (2000)
14. L.A. Lugiato, L.M. Narducci, E.V. Eschenazi, D.K. Bandy, N.B. Abraham: Phys. Rev. A 32, 1563 (1985)
15. G.J. de Valcárcel, E. Roldán, F. Prati: Opt. Commun. 163, 5 (1999)
16. E. Roldán, G.J. de Valcárcel, F. Mitschke: Appl. Phys. B 76, 741 (2003)
17. P. Franco, M. Midrio, A. Tozzato, M. Romagnoli, F. Fontana: J. Opt. Soc. Am. B 11, 1090 (1994)
18. K. Tamura, H.A. Haus, E.P. Ippen: Electron. Lett. 28, 2226 (1992)
19. F. Fontana, E. Pessina: private communication
20. G.P. Agrawal: Nonlinear Fiber Optics (Academic, San Diego 1995)
21. E. Roldan, G.J. de Valcárcel, F. Silva, F. Prati: J. Opt. Soc. Am. B 18, 1601 (2001)
22. F. Prati, E.M. Pessina, E. Roldán, G.J. de Valcárcel: Opt. Commun., in print
23. E. Roldán, G.J. de Valcárcel: Phys. Rev. A 64, 053 805 (2001)
24. inh/ γ⊥ is the inhomogeneous to homogeneous broadening ratio. The lasing threshold occurs at r = 1. Notice that the symbol r entering the above equation does not have the same meaning as the one used in the present article: in [23], and in the above equation, r represents the normalized pump in a two-level laser
25. J.F. Urchueguia, G.J. de Valcárcel, E. Roldán, F. Prati: Phys. Rev. A 62, 041 801(R) (2000)
26. M.J. Guy, J.R. Taylor, R. Kashyap: Electron. Lett. 31, 1924 (1995)
27. J.L. Zhang, C.Y. Yue, G.W. Schinn, W.R.L. Clements, J.W.Y. Lit: IEEE J. Lightwave Technol. 14, 104 (1996)
28. D.I. Chang, M.J. Guy, S.V. Chernikov, J.R. Taylor, H.J. Kong: Electron. Lett. 32, 1786 (1996)
29. H. Fu: Phys. Rev. A 40, 1868 (1989)
30. T.W. Carr, Th. Erneux: Phys. Rev. A 50, 724 (1994); Phys. Rev. A 50, 4219 (1994)
31. T.W. Carr, Th. Erneux: Phys. Rev. A 50, 724 (1994); Phys. Rev. A 50, 4219 (1994)
32. The reader may wonder why we have not tried to test this hypothesis by numerical integration of the model in [23]. As discussed elsewhere [22, 33], the numerical integration for class B lasers is extremely difficult because of the enormous stiffness of the problem. In fact, the first numerical integrations of the Maxwell-Bloch equations with inhomogeneous broadening in the uniform-field limit have been carried out only very recently [22], and much work needs to be done in this direction. In any case, there is numerical evidence that, with inhomogeneous broadening, the RNGHI can also be subcritical (F. Prati, Universitá dell'Insubria, private communication)
33. A. Amon, M. Nizette, M. Lefranc, T. Emeux: Phys. Rev. A 68, 023 801 (2003)
34. G.J. de Valcárcel, E. Roldán, F. Prati: J. Opt. Soc. Am. B 20, 825 (2003)