Nonlinear Optics in Guided Geometries - Abstract
Tatarinova, Larisa
We demonstrate that the problem of intense light propagation in highly nonlinear media in numerous cases can be studied analytically under the semi-classical approximation with a high accuracy. On the basis of the renormalization group symmetry analysis, for the first time, we constructed an exact analytical solution to the eikonal equation with a saturating refractive index. Several examples of refractive indices and beam profiles are studied approximately. General analytical expressions for the filament intensity are presented. Obtained solutions can serve as a benchmark solution for numerical simulations.