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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 6 — Jun. 1, 1999
  • pp: 932–951

Self-pulsing and dynamic bistability in cw-pumped Brillouin fiber ring lasers

Carlos Montes, Derradji Bahloul, Isabelle Bongrand, Jean Botineau, Gérard Cheval, Abdellatif Mamhoud, Eric Picholle, and Antonio Picozzi  »View Author Affiliations


JOSA B, Vol. 16, Issue 6, pp. 932-951 (1999)
http://dx.doi.org/10.1364/JOSAB.16.000932


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Abstract

The nonlinear dynamics of cw-pumped Brillouin long-fiber ring lasers that contain a large number of longitudinal modes N beneath the Brillouin gain curve is controlled by a single parameter, namely, the Stokes feedback R. Below Rcrit, a stable train of dissipative solitonic pulses is spontaneously structured at the round-trip frequency fr without any additional intracavity mode locking. Experimental observations in cw-pumped fiber ring cavities, supported by numerical simulation in a coherent space–time three-wave model that includes the optical Kerr effect, prove the universality of the self-pulsing mechanism. Stability analysis shows that below Rcrit the steady Brillouin mirror regime is destabilized through a Hopf bifurcation. For R<Rcrit<R0 the bifurcation is supercritical and exhibits an asymptotically monostable oscillatory regime at twice fr for high enough N or at fr for lower N, in a finite transition region. For R0<R<Rcrit, the bifurcation is subcritical and exhibits dynamic bistability between the steady and the pulsed regimes in a finite hysteresis region whose width is proportional to the Kerr parameter. For R small enough, the cavity longitudinal modes merge into a dissipative solitonic Brillouin pulse: the dynamic three-wave model yields self-structured asymptotically stable trains of pulses for any initial conditions, in fair quantitative agreement (for pulse width, intensity, shape, and period) with the experiments in the entire self-pulsing domain. Amplification of spontaneous emission breaks down the stable-pulse regime in long devices (i.e., high N), so the fiber noise amplitude is higher than the coherent amplitude that separates two consecutive pulses.

© 1999 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(140.3560) Lasers and laser optics : Lasers, ring
(190.1450) Nonlinear optics : Bistability
(290.5900) Scattering : Scattering, stimulated Brillouin

Citation
Carlos Montes, Derradji Bahloul, Isabelle Bongrand, Jean Botineau, Gérard Cheval, Abdellatif Mamhoud, Eric Picholle, and Antonio Picozzi, "Self-pulsing and dynamic bistability in cw-pumped Brillouin fiber ring lasers," J. Opt. Soc. Am. B 16, 932-951 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-6-932

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