TY - JOUR
T1 - Dynamics of optical pulses in randomly birefringent fibers
AU - Ueda, Tetsuji
AU - Kath, William L.
N1 - Funding Information:
The authors would like to thank Professor Alvin Bayliss for assistance in developing the numerical routine for solving the finite truncation of (16). This work was supported in part by grants from the Air Force Office of Scientific Research (Mathematical Sciences, Grant No. 90-0139) and the National Science Foundation (Applied Mathematics, Grant No. 9002951).
PY - 1992/2
Y1 - 1992/2
N2 - A nonlinear optical fiber with random birefringence is modeled by a system of nonlinear Schrödinger (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 Poincaré sphere. Solutions to this equation give probability densities for the polarization state of a propagating pulse.
AB - A nonlinear optical fiber with random birefringence is modeled by a system of nonlinear Schrödinger (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 Poincaré sphere. Solutions to this equation give probability densities for the polarization state of a propagating pulse.
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U2 - 10.1016/0167-2789(92)90195-S
DO - 10.1016/0167-2789(92)90195-S
M3 - Article
AN - SCOPUS:0001076665
SN - 0167-2789
VL - 55
SP - 166
EP - 181
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-2
ER -