Generation of complex beams using flattening of binary gratings

The generation of complex beams, such as composite vortex beams, using the logical flattening of two or more co-oriented and registered gratings is demonstrated theoretically and experimentally. The geometrical aspects of such gratings were examined to generate composite vortex beams with the desired intensity and orientation. The proposed methodology was extended to produce other complex beams, such as Laguerre Gaussian transformed Hermite Gaussian and composite vortex transformed Airy beams.