Noise-induced perturbations of dispersion-managed solitons
- Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260 (United States)
We study noise-induced perturbations of dispersion-managed solitons. We do so by first developing soliton perturbation theory for the dispersion-managed nonlinear Schroedinger (DMNLS) equation, which governs the long-term behavior of optical fiber transmission systems and certain kinds of femtosecond lasers. We show that the eigenmodes and generalized eigenmodes of the linearized DMNLS equation around traveling-wave solutions can be generated from the invariances of the DMNLS equations, we quantify the perturbation-induced parameter changes of the solution in terms of the eigenmodes and the adjoint eigenmodes, and we obtain evolution equations for the solution parameters. We then apply these results to guide importance-sampled Monte Carlo (MC) simulations and reconstruct the probability density functions of the solution parameters under the effect of noise, and we compare with standard MC simulations of the unaveraged system. The comparison further validates the use of the DMNLS equation as a model for dispersion-managed systems.
- OSTI ID:
- 20982594
- Journal Information:
- Physical Review. A, Vol. 75, Issue 5; Other Information: DOI: 10.1103/PhysRevA.75.053818; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Analytical spatiotemporal soliton solutions to (3+1)-dimensional cubic-quintic nonlinear Schroedinger equation with distributed coefficients
Direct perturbation theory for the dark soliton solution to the nonlinear Schroedinger equation with normal dispersion