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

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. (C) 2020 Optical Society of America