Some Features of the Nonlinear Optical Field

Publisher Website
Google Scholar
Abstract
In a recent paper, Chiao, Garmire, and Townes (CGT) discuss self-trapping of optical beams by a nonlinear dielectric. This work has been extended in the present paper by showing that the nonlinear wave equation, written in Cartesian coordinates, has, under certain restrictions, a solution in terms of Jacobian elliptic functions. This solution transforms smoothly into the sine and cosine functions as the nonlinear term vanishes, and in accordance with the CGT solution. Moreover, the tabulated properties of the elliptic functions predict other properties of the nonlinear optical field which could be checked with several experiments.

This publication has 2 references indexed in Scilit: