Abstract
Generation of solitonic pulses from stimulated Brillouin backscat-tering (SBBS) or stimulated Raman backscattering (SRBS) in a cw-pumped fiber-ring laser of large gain is only controlled by the feedback Stokes intensity R. The nonlinear dynamics of SBBS or SRBS in monomode optical fibers, including the optical Kerr effect, is governed by the 1-D coherent three-wave model, which resonantly couples two optical waves (pump and backscattered Stokes) with a material wave. Stability analysis around the steady solution presents a regular Hopf bifurcation with R as control parameter. For R < R crit the unstable amplitude modes merge together into a localized pulse, giving rise to soliton morphogenesis. Numerical simulation of the dynamical model starting from any initial conditions (material noise or steady state), and experiments in an optical fiber-ring cavity confirm this bifurcation and the generation of an asymptotically stable train of solitonic pulses of nanosecond width for SBBS and picosecond width for SRBS.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pohl, D. and Kaiser, W.: Time-resolved Investigations of Stimulated Brillouin Scattering in transparent and absorbing media: Determination of phonon lifetimes, Phys. Rev. B 1 (1970), 31–43.
Gorbunov, V. A., Papernyi, S. B. and Startsev, V. R.: Time compression of pulses in the course of stimulated Brillouin scattering in gases, Sov. J. Quantum Electron 13 (1983), 900–905.
Geliert, B. and Kronast, B.: Investigation of Stimulated Brillouin Scattering Under Weil-Defined Interaction Conditions, Appl. Phys. B 32 (1983), 175–186;
Geliert, B. and Kronast, B.: Investigation of Stimulated Brillouin Scattering Under Weil-Defined Interaction Conditions, Appl. Phys. B 33 (1984), 29–41.
Botineau, J., Leycuras, C., Montes, C. and Picholle, E.: Stabilization of a stimulated Brillouin fiber ring laser by strong pump modulation, J. Opt. Soc. Am. B 6 (1989), 300–312.
Picholle, E., Montes, C., Leycuras, C., Legrand, O. and Botineau, J.: Observation of Dissipative Superluminous Solitons in a Brillouin Fiber Ring Laser, Phys. Rev. Lett. 66 (1991), 1454–1457.
Montes, C., Picholle, E., Botineau, J., Legrand, O. and Leycuras, C: in Nonlinear Coherent Structures in Physics and Biology, Lectures Notes in Physics 393, ed. M. Remoissenet and M. Peyrard, Springer-Verlag, Berlin, (1991), 44–51.
Montes, C., Mamhoud, A. and Picholle, E.: Bifurcation in a cw-pumped Brillouin fiber-ring-laser: Coherent soliton morphogenesis, Phys. Rev. A 49 (1994), 1344–1349.
Montes, C., Mamhoud, A. and Picholle, E.: Hopf bifurcation in cw-pumped fiber resonators: generation of stimulated Brillouin solitons, in Nonlinear CoherentStructures in Physics and Biology, ed. by K.H Spatschek and F.G. Mertens, Plenum Press, New-York, (1994), 357–363.
Montes, C, Mamhoud, A., Botineau, J. and Picholle, E.: Three-wave soliton morphogenesis in a cw-pumped Brillouin fiber-ring-laser, in Fluctuation Phenomena: Disorder and Nonlinearity, ed. by A.R. Bishop, S. Jiménez and L. Vázquez, World Scientific, Singapore, (1995), 397–405.
Maier, M., Kaiser, W. and Giordmaine, J. A.: Intense light bursts in the stimulated Raman effect, Phys. Rev. Lett. 17 (1966), 1275–1277.
Arrivo, S. A., Spears, K. G. and Sipior, J.: Picosecond transient backward stimulated Raman scattering and pumping of femtosecond dye lasers, Opt. Comm. 116 (1995), 377–381.
Zakharov, V. E. and Manakov, S. V.: Resonant interaction of wave packets in nonlinear media, Sov. Phys. JETP Lett. 18 (1973), 243–247;
Zakharov, V. E. and Manakov, S. V.: Resonant interaction of wave packets in nonlinear media, Sov. Phys. JETP Lett. 42 (1976), 842–845.
Kaup, D. J.: The three-wave interaction, a nondispersive phenomenon, Stud. Appl. Math. 55 (1976), 9–44.
Kaup, D. J., Reiman, A. and Bers, A.: Space-time evolution of nonlinear three-wave interactions. Interaction in a homogeneous medium, Rev. Mod. Phys. 51 (1979), 275–309; Erratum 915–917.
Chow, C. C.: Spatiotemporal chaos in nonintegrable three-wave interactions, Physica D 81 (1995), 237–270.
V. A. Gorbunov: Formation and amplification of ultrashort optical pulses as a result of stimulated scattering in opposite directions, Sov. J. Quant. Electron. 14 (1984) 1066–1073.
Coste, J. and Montes, C: Asymptotic evolution of stimulated Brillouin scattering: Implications for optical fibers, Phys. Rev. A 34 (1986), 3940–3949.
Mikhailov, A., Montes, C., Picozzi, A. and Ginovart, F.: Subluminous solitary at-tractor in dissipative 3-Wave stimulated backscattering, submitted to Phys. Rev. A
Chiu, S. C.: On the self-induced transparency effect of the three-wave resonance process, J. Math. Phys. 19 (1978), 168–176.
Kaup, D. J.: The First-order Perturbed SBS Equations, Nonlinear Sci. 3 (1993), 427–443.
Armstrong, J. A., Jha, S. S. and Shiren, N. S.: Some Effects of Group-Velocity Dispersion on Parametric Interactions, IEEE J. Quant. Elect. QE-6 (1970), 123–129.
Nozaki, K. and Taniuti, T.: Propagation of Solitary Pulses in Interactions of Plasma Waves, J. Phys. Soc. Jpn. 34 (1973), 796–800;
Oshawa, Y. and Nozaki, K.: Propagation of Solitary Pulses in Interaction of Plasma Waves. II, J. Phys. Soc. Jpn. 36 (1974), 591–595;
Nozaki, K.: Stability of Triple Solitary Waves and Effects of Inhomogeneities, J. Phys. Soc. Jpn. 37 (1974), 1124–1128.
Montes, C. and Legrand, O.: Nonstationary stimulated Brillouin backscattering, in Electromagnetic and acoustic scattering: detection and inverse problem, ed. World Scientific, Singapore, (1989), 209–221;
Legrand, O. and Montes, C.: Apparent su-perluminous quasi-solitons in stimulated Brillouin backscattering, J. Phys. Colloq. Prance 50 (1989), C3–147–155.
Morosov, S. F., Piskunova, L. V., Sushik, M. M. and Freidman, G.I.: Formation and amplification of quasi-soliton pulses in head-on stimulated scattering, Sov. J. Quant. Electron. 8 (1978), 576–580.
Kaiser, W. and Maier, M.: Stimulated Rayleigh, Brillouin and Raman Spectroscopy, in Laser Handbook 2, edit, by T.F. Arecchi and F.O. Schulz-Dubois, North-Holland, Amsterdam, (1972), 1078–1150.
Newell, A. C. and Moloney, J. V.: Stimulated Raman Scattering, in Nonlinear Optics, 253–259, Addison-Wesley, Redwood City, (1992), 253–259
Montes, C. and Pellat, R.: Inertial response to nonstationary stimulated Brillouin backscattering: Damage of optical and plasma fibers, Phys. Rev. A 36 (1987), 2976–2979.
Ippen, E. P. and Stolen, R. H.: Stimulated Brillouin scattering in optical fibers, Appl. Phys. Lett. 21 (1972), 539–541.
Stolen, R. B. and Ippen, E. P.: Raman gain in glass optical waveguides, Appl. Phys. Lett. 22 (1973), 276–278.
Agrawal, G. P.: in Nonlinear fiber optics, AT&T Bell Laboratories and Academic Press, San Diego (1989), 218–288.
Boyd, R. W., Rzazewsky, K. and Narum, P.: Noise initiation of stimulated Brillouin scattering, Phys. Rev. A 42 (1990), 5514–5521.
Montes, C. and Picozzi, A.: Solitary 3-wave dissipative structures in cw-pumped stimulated backscattering, in preparation
Smith, S. P., Zarinetci, F. and Ezekiel, S. E.: Narrow-linewidth stimulated Brillouin fiber laser and applications, Opt. Lett. 16 (1991), 393–395.
Fisher, R. A., in Optical Phase Conjugation, Academic Press, Orlando (1983), chapt. 6 & 7.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this paper
Cite this paper
Montes, C. (1996). Generation of Solitonic Pulses in Cw-Pumped Brillouin or Raman Fiber-Ring Lasers. In: Hasegawa, A. (eds) Physics and Applications of Optical Solitons in Fibres ’95. Solid-State Science and Technology Library, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1736-1_12
Download citation
DOI: https://doi.org/10.1007/978-94-009-1736-1_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7277-9
Online ISBN: 978-94-009-1736-1
eBook Packages: Springer Book Archive