Analytical study of nonlinear phase shift through stimulated Brillouin scattering in single mode fiber with the pump power recycling technique

We present a theoretical study of nonlinear phase shift through stimulated Brillouin scattering in single mode optical fiber. Analytical expressions describing the nonlinear phase shift for the pump and Stokes waves in the pump power recycling technique have been derived. The dependence of the nonlinear phase shift on the optical fiber length, the reflectivity of the optical mirror and the frequency detuning coefficient have been analyzed for different input pump power values. We found that with the recycling pump technique, the nonlinear phase shift due to stimulated Brillouin scattering reduced to less than 0.1 rad for 5 km optical fiber length and 0.65 reflectivity of the optical mirror, respectively, at an input pump power equal to 30 mW.

[1]  Amnon Yariv,et al.  Degradation of modulation and noise characteristics of semiconductor lasers after propagation in optical fiber due to a phase shift induced by stimulated Brillouin scattering , 1999 .

[2]  Boyd,et al.  Noise initiation of stimulated Brillouin scattering. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[3]  S. Wandzura,et al.  Spatial correlation of phase-expansion coefficients for propagation through atmospheric turbulence , 1979 .

[4]  M. Mahdi,et al.  Effects of pump recycling technique on stimulated Brillouin scattering threshold: a theoretical model. , 2010, Optics express.

[5]  Boyd,et al.  Stochastic dynamics of stimulated Brillouin scattering in an optical fiber. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[6]  J.-M.P. Delavaux,et al.  Spontaneous and stimulated Brillouin scattering gain spectra in optical fibers , 2002 .

[7]  Jones,et al.  Time-resolved measurements of stimulated-Brillouin-scattering phase jumps. , 1992, Physical review letters.

[8]  S. Singh,et al.  Nonlinear Effects in Optical Fibers: Origin, Management and Applications , 2007 .

[9]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[10]  M. H. Al-Mansoori,et al.  Reduction of stimulated Brillouin scattering threshold through pump recycling technique , 2009 .

[11]  T. Schneider,et al.  Investigation of Brillouin scattering in optical fibers for the generation of Millimeter waves , 2006, Journal of Lightwave Technology.

[12]  X. Bao,et al.  Theoretical study of the effect of slow light on BOTDA spatial resolution. , 2006, Optics express.