Variational approach to nonlinear pulse propagation in optical fibers
- 1 June 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 27 (6), 3135-3145
- https://doi.org/10.1103/physreva.27.3135
Abstract
The problem of nonlinear pulse propagation in optical fibers, as governed by the nonlinear Schrödinger equation, is reformulated as a variational problem. By means of Gaussian trial functions and a Ritz optimization procedure, approximate solutions are obtained for the evolution during propagation of pulse width, pulse amplitude, and nonlinear frequency chirp. Comparisons with results from inverse-scattering theory and/or numerically obtained solutions show very good agreement.Keywords
This publication has 11 references indexed in Scilit:
- 12× pulse compression using optical fibersApplied Physics Letters, 1983
- Optical pulse compression based on enhanced frequency chirpingApplied Physics Letters, 1982
- Amplification and reshaping of optical solitons in a glass fiber—IOptics Letters, 1982
- Compression of femtosecond optical pulsesApplied Physics Letters, 1982
- Nonlinear Picosecond-Pulse Propagation through Optical Fibers with Positive Group Velocity DispersionPhysical Review Letters, 1981
- Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical FibersPhysical Review Letters, 1980
- Variational approach to nonlinear self-focusing of Gaussian laser beamsPhysics of Fluids, 1979
- B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive MediaProgress of Theoretical Physics Supplement, 1974
- Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersionApplied Physics Letters, 1973
- Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersionApplied Physics Letters, 1973