Controlled generation and analysis of higher order quasi-non diffracting optical vortex lattices

The interference method is considered to be one of the most important methods to create higher order optical vortex lattices. This paper reintroduces this method in a newer way to generate various high order quasi non diffracting optical vortex lattices. The definite numbers of plane waves are used to generate higher order topological charge at the center of optical vortex lattices. The tips of the wave vectors of these plane waves lie on the projected equivalent hexagonal ring in transverse Fourier plane along propagation direction. Initially six plane waves are used to form higher order optical vortex. As the numbers of plane waves increases, the wave vector at each side of hexagon also increases and the combination would be a multiple of six plane waves such as twelve, eighteen and twenty-four etc. Further, the initial phase relation among these waves contributes more to get various higher order topological charges at the center of optical vortex lattices. Using this controllable initial phase, the different types of lattices are generated.