Generation of multi-axis Laguerre-Gaussian beams from geometric modes of a hemiconfocal cavity

We study the transformation of multi-axis Laguerre-Gaussian beams from optical beams comprising Hermite-Gaussian modes with ray-wave duality. By use of cylindrical lenses, Hermite-Gaussian modes can be transformed into Laguerre-Gaussian modes possessing optical orbital angular momentum. The superposed Hermite-Gaussian modes localized on geometric trajectories are generated from a degenerate hemiconfocal cavity and transformed into multi-axis Laguerre-Gaussian beams. Experimental results of the structured beams are systematically manipulated and in good agreement with theoretical analyses.