Propagation of an Intense Light Beam in a Nonlinear Medium

Abstract

Propagation of an intense light beam in a nonlinear medium with dielectric constant of the form $\epsilon ={\epsilon }_0+{\epsilon }_2{\mathrm{}\left|E\right|\mathrm{}}^2$ is studied systematically. In particular, the conditions and the characteristic quantities for the filament formation, self-focusing, and trapping of a beam are discussed.