Laguerre-Gaussian self-trapped beams in optical lattices

摘要

We study families of self-trapped optical beams generated by Laguerre-Gaussian modes that constitute the stationary solutions of a pure local nonlinear Schr?dinger equation with a potential described by a combination of also Laguerre-Gaussian functions and a harmonic term. The pure local nonlinear medium here studied resembles, up to a certain point, a strongly nonlocal medium allowing thus to make several connections between linear and nonlinear systems. We obtain the corresponding analytical expressions for some conserved quantities and we find that these modes can be stabilized provided they remain below of a level of power threshold.