We report the generation of asymmetric Mathieu optical lattices: invariant intensity optical profiles that can described by three parameters. The first one describes the amount of ellipticity, the second one takes into account the degree of asymmetry of the profile, and the third parameter denotes the angular position where is localized the respective asymmetry. We propose a simple angular spectrum to generate these nondiffracting beams, and we report how changes their distribution of power and orbital angular momentum in function of their ellipticity and degree of asymmetry. We confirm the existence of these invariant beams by propagation in an experimental setup.
Barcelo-Chong Arturo,Estrada-Potrillo Brian,Canales-Benavides Arturo,Lopez Aguayo Servando. Asymmetric Mathieu optical lattices[J].Chinese Optics Letters,2018,16(12):12.