Dynamics of optical pulses in randomly birefringent fibers

Abstract A nonlinear optical fiber with random birefringence is modeled by a system of nonlinear Schrodinger (NLS) equations with stochastic coupling. An average variational principle is used to obtain the approximate evolution of the parameters describing pulses with NLS-soliton-like shapes. Then, in the diffusion limit, the stochastic problem is reduced to a partial differential equation of the Poincare sphere. Solutions to this equation give probability densities for the polarization state of a propagating pulse.

[1]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[2]  M. Lisak,et al.  Bandwidth limits due to incoherent soliton interaction in optical-fiber communication systems. , 1985, Physical review. A, General physics.

[3]  Diana Anderson,et al.  Variational approach to nonlinear pulse propagation in optical fibers , 1983 .

[4]  C. Poole.  Statistical treatment of polarization dispersion in single-mode fiber. , 1988, Optics letters.

[5]  W. Kath,et al.  Polarization dynamics for solitons in birefringent optical fibers , 1989 .

[6]  H. Winful,et al.  Polarization instabilities in birefringent nonlinear media: application to fiber-optic devices. , 1986, Optics letters.

[7]  Malomed.  Polarization dynamics and interactions of solitons in a birefringent optical fiber. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[8]  William L. Kath,et al.  Hamiltonian dynamics of solutions in optical fibers , 1991 .

[9]  Akira Hasegawa,et al.  Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion , 1973 .

[10]  C. Menyuk,et al.  Stability of solitons in birefringent optical fibers. I: equal propagation amplitudes. , 1987, Optics letters.

[11]  On stochastic dynamics of solitons in inhomogeneous optical fibers , 1989 .

[12]  C. Poole,et al.  Measurement of polarization-mode dispersion in single-mode fibers with random mode coupling. , 1989, Optics Letters.

[13]  J. Gordon,et al.  Resistance of solitons to the effects of polarization dispersion in optical fibers. , 1989, Optics letters.

[14]  Y. Kivshar,et al.  Dynamics of coupled dark and bright optical solitons. , 1989, Optics letters.

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

[16]  G. Whitham,et al.  Linear and Nonlinear Waves , 1976 .

[17]  Alan C. Newell,et al.  Solitons in mathematics and physics , 1987 .

[18]  Stegeman,et al.  Solitary-wave decay and symmetry-breaking instabilities in two-mode fibers. , 1989, Physical review. A, General physics.

[19]  N J Doran,et al.  Polarization instabilities for solitons in birefringent fibers. , 1987, Optics letters.

[20]  Werner E. Kohler,et al.  Power Reflection at the Input of a Randomly Perturbed Rectangular Waveguide , 1977 .

[21]  George Papanicolaou,et al.  Asymptotic analysis of deterministic and stochastic equations with rapidly varying components , 1975 .

[22]  Ueda,et al.  Dynamics of coupled solitons in nonlinear optical fibers. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[23]  M. Lisak,et al.  Bandwidth limits due to mutual pulse interaction in optical soliton communication systems. , 1986, Optics letters.