Perturbations of optical solitons
- 1 May 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 47 (5) , 4331-4341
- https://doi.org/10.1103/physreva.47.4331
Abstract
A perturbation theory is developed to investigate the effects of various perturbations on soliton propagation down an optical fiber. The theory is formulated within the ‘‘natural’’ framework of inverse scattering theory. The perturbative effects of third-order dispersion, the soliton self-frequency shift, bandwidth-limited gain, periodic modulation, and stochastic fluctuations are analyzed in detail. In each case, the analytic results presented here are in excellent agreement with simulations carried out here and elsewhere.Keywords
This publication has 28 references indexed in Scilit:
- Soliton propagation in an optical fiber with third-order dispersionOptics Letters, 1992
- Characteristic sideband instability of periodically amplified average solitonElectronics Letters, 1992
- Dispersive perturbations of solitons of the nonlinear Schrödinger equationJournal of the Optical Society of America B, 1992
- Second-order perturbations for solitons in optical fibersPhysical Review A, 1991
- Radiative losses in soliton-soliton collisions in an optical fiber with the third-order dispersionPhysical Review A, 1991
- Perturbation theory for solitons in optical fibersPhysical Review A, 1990
- Radiations by ‘‘solitons’’ at the zero group-dispersion wavelength of single-mode optical fibersPhysical Review A, 1990
- Nonlinear pulse propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibersOptics Letters, 1986
- A perturbational approach to the two-soliton systemsPhysica D: Nonlinear Phenomena, 1981
- Solitons and the Inverse Scattering TransformPublished by Society for Industrial & Applied Mathematics (SIAM) ,1981