Beam self-focusing in the presence of a small normal time dispersion
- 1 November 1995
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 52 (5) , 4218-4228
- https://doi.org/10.1103/physreva.52.4218
Abstract
We present a system of modulation equations that approximate the focusing of the nonlinear Schrödinger equation in the presence of a small normal time dispersion (TDNLS). Since the modulation equations are much easier for analysis and for numerical simulations, they can be used to get a general picture of the TDNLS focusing. Analytical and numerical agreement between the modulation equations and the TDNLS is established.Keywords
This publication has 14 references indexed in Scilit:
- The effects of normal dispersion on collapse eventsPhysica D: Nonlinear Phenomena, 1994
- On the analytical theory for stationary self-focusing of radiationPhysica D: Nonlinear Phenomena, 1993
- Generation of a train of three-dimensional optical solitons in a self-focusing mediumPhysical Review A, 1993
- Pulse splitting during self-focusing in normally dispersive mediaOptics Letters, 1992
- Self-focusing of light pulses in the presence of normal group-velocity dispersionOptics Letters, 1992
- Time-resolved measurements of picosecond optical breakdownApplied Physics B Laser and Optics, 1989
- Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimensionPhysical Review A, 1988
- Local structure of the self-focusing singularity of the nonlinear Schrödinger equationPhysica D: Nonlinear Phenomena, 1988
- Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beamsJournal of the Optical Society of America B, 1988
- Femtosecond laser-tissue interactions: Retinal injury studiesIEEE Journal of Quantum Electronics, 1987