SPATIAL SOLITONS EXCITED BY THE 2ND-ORDER HERMITE-GAUSSIAN BEAMS

It is shown that the second-order Hermite-Gaussian solution treated as an initial condition to the nonlinear Schrodinger equation generates an even number of solitons in the Kerr medium. The parameters of solit ons as amplitudes and angles of propagation are evaluated numerically by the Inverse Scattering Transform. The following soliton generation scenario is presented. For a low incident beam amplitude no solitons a re found. As the incident amplitude increases two solitons appear and propagate under opposite propagation angles. Further increase of the i ncident amplitude decreases the propagation angles and above some spec ific amplitude level solitons form a bound solution. A very good agree ment is found between a direct numerical integration of NSE and variat ional approximation to the problem for incident amplitudes below the s olitons excitation level.