With the method that employing L-type digital lasers to selectively generate the Fourier spectrum of the gaussian-modulated angular Mathieu function, we were suscessfully in generating/manipulating high-order nondiffracting quasi-Mathieu beams in digital lasers. The nearly nondiffracting quasi-Mathieu beams can be used in several research and applications, such as optical trapping and tweeter, laser processing, and etc.
The link to the paser: https://doi.org/10.1364/OE.450440.
Intra-cavity rotating a Mathieu-Gauss Beam.