Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation

作者: M.S. Mani Rajan , A. Mahalingam , A. Uthayakumar , K. Porsezian

DOI: 10.1016/J.CNSNS.2012.10.008

关键词: PhysicsQuantum mechanicsLax pairErbiumSoliton (optics)Optical fiberPhase modulationPulse compressionNonlinear Schrödinger equationNonlinear system

摘要: We consider optical pulse propagation in an Erbium doped inhomogeneous lossy fiber with time dependent phase modulation, which is governed by a system of Generalized Inhomogeneous Nonlinear Schrodinger Maxwell–Bloch (GINLS–MB) equation. Multi-soliton studied analytically means deriving associated Lax pair and the soliton solutions are obtained using Darboux transformation. By suitably adjusting group velocity dispersion nonlinearity parameter, we discuss various dynamics such as periodic distributed amplification, compression etc. In each case, demonstrate influence parameter. Finally investigate through nonlinear tunneling.

参考文章(28)
Govind P. Agrawal, Nonlinear Fiber Optics ,(1989)
V. N. Serkin, T. L. Belyaeva, High-energy optical Schrödinger solitons Jetp Letters. ,vol. 74, pp. 573- 577 ,(2001) , 10.1134/1.1455063
T.L. Belyaeva, V.N. Serkin, C. Hernandez-Tenorio, F. Garcia-Santibañez, Enigmas of optical and matter-wave soliton nonlinear tunneling Journal of Modern Optics. ,vol. 57, pp. 1087- 1099 ,(2010) , 10.1080/09500340.2010.499043
A. Uthayakumar, A. Mahalingam, Young-Geun Han, Sang Bae Lee, Optical soliton propagation in erbium-doped fibre with variable dispersion and nonlinear effects Journal of Modern Optics. ,vol. 53, pp. 1619- 1626 ,(2006) , 10.1080/09500340600581546
A Mahalingam, K Porsezian, M S Mani Rajan, A Uthayakumar, Propagation of dispersion–nonlinearity-managed solitons in an inhomogeneous erbium-doped fiber system Journal of Physics A. ,vol. 42, pp. 165101- ,(2009) , 10.1088/1751-8113/42/16/165101
Mark J. Ablowitz, David J. Kaup, Alan C. Newell, Harvey Segur, Nonlinear-Evolution Equations of Physical Significance Physical Review Letters. ,vol. 31, pp. 125- 127 ,(1973) , 10.1103/PHYSREVLETT.31.125
K Nakkeeran, K Porsezian, Solitons in an erbium-doped nonlinear fibre medium with stimulated inelastic scattering Journal of Physics A. ,vol. 28, pp. 3817- 3823 ,(1995) , 10.1088/0305-4470/28/13/025
Rongcao Yang, Ruiyu Hao, Lu Li, Zhonghao Li, Guosheng Zhou, Dark soliton solution for higher-order nonlinear Schrödinger equation with variable coefficients Optics Communications. ,vol. 242, pp. 285- 293 ,(2004) , 10.1016/J.OPTCOM.2004.08.012
Ruiyu Hao, Lu Li, Zhonghao Li, Rongcao Yang, Guosheng Zhou, A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients Optics Communications. ,vol. 245, pp. 383- 390 ,(2005) , 10.1016/J.OPTCOM.2004.10.001
Ruiyu Hao, Aitang Ju, Fuqian Wang, Guosheng Zhou, Generation and propagation of pulse trains with ultrashort pulse separation Optics Communications. ,vol. 281, pp. 5898- 5901 ,(2008) , 10.1016/J.OPTCOM.2008.08.037