Higher radial orders of Laguerre–Gaussian beams in nonlinear wave mixing processes

Abstract

We generalize the study of Laguerre–Gaussian beams in nonlinear wave mixing processes, considering optical beams with both integer azimuthal and non-null radial mode index as input modes combined in the nonlinear crystal. Here, we present a deeper discussion of the generation of higher radial orders through a nonlinear wave mixing process leading to a more complete understanding of the nonlinear process considered.