Two-dimensional spatial optical solitons in bulk Kerr media stabilized by self-induced multiphoton ionization: Variational approach
- 1 April 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (4) , 4092-4097
- https://doi.org/10.1103/physreve.53.4092
Abstract
The beam parameters of spatial two-dimensional solitons in a bulk medium under the influence of the combined effects of diffraction, Kerr nonlinearity, and nonlinear index change by plasma creation will be studied with the help of a variational approach. A simple analytical relation for the power of a spatial two-dimensional soliton is derived which shows a two-valued behavior in dependence on the beam diameter. The variational approximation is compared with numerical and experimental results. The solution is proven to be stable against small perturbations in the whole parameter region. © 1996 The American Physical Society.Keywords
This publication has 28 references indexed in Scilit:
- Bistable bright solitons in dispersive media with a linear and quadratic intensity-dependent refraction index changeOptics Communications, 1992
- Propagation of ultrashort light pulses in fibers with saturable nonlinearity in the normal-dispersion regionJournal of the Optical Society of America B, 1991
- Stabilization of relativistic self-focusing of intense subpicosecond ultraviolet pulses in plasmasPhysical Review Letters, 1990
- Observation of spatial optical solitons in a nonlinear glass waveguideOptics Letters, 1990
- Stable self-trapping of laser beams: Observation in a nonlinear planar waveguideOptics Communications, 1988
- Bistable-soliton pulse propagation: Stability aspectsPhysical Review A, 1987
- Blow-up in Nonlinear Schroedinger Equations-I A General ReviewPhysica Scripta, 1986
- Bistable SolitonsPhysical Review Letters, 1985
- Evolution theorem for a class of perturbed envelope soliton solutionsJournal of Mathematical Physics, 1983
- Stationary solutions of the wave equation in a medium with nonlinearity saturationRadiophysics and Quantum Electronics, 1973