Power-variation-induced three-dimensional nonuniform scaling of beams in strongly nonlocal nonlinear media

Abstract

The influence of the power variation on the evolution of an arbitrary beam in strongly nonlocal nonlinear media is investigated on the basis of the mode-decomposition method. The variation of the power changes the longitudinal positions of the beam patterns and induces the longitudinal scaling. Although there is a one-to-one correspondence between the patterns before and after the power variation, the pattern sizes in the two cases differ from each other; therefore the transverse scaling occurs. The effect of the three-dimensional nonuniform scaling effect can be represented with a simple formula, with which the analytical solution for the beam after the power variation can be readily obtained from its counterpart before the power variation.