Generation of Mathieu beams based on the detour phase encoding method

Abstract

We introduce a new method for precisely generating Mathieu beams by designing binary computer-generated holograms (CGHs). The CGHs are obtained by encoding the complex filed information through the use of the Lohmann-type detour phase coding method. Accordingly, a family of high-quality Mathieu beams can be engineered precisely. The good consistency between experimental results and theoretical predictions show that the proposed method is a valuable approach for modulating and generating complex structured light fields. In other words, one can use a single CGH mask to simultaneously regulate the phase and amplitude of one beam hence its propagation is controlled.