Diffractive optical implementation of rotation transform performed by using phase singularities

Abstract

Some geometrical transforms cannot be implemented as computer-generated holograms (CGH's) with Bryngdahl's technique. The phase functions of these geometrical transforms have phase singularities that cause branch points in the transmission functions of CGH's. An example of such a geometrical transform is the rotation transform. This transform is implemented by including a superposition of phase singularities in the phase function of the CGH. I present results of this implementation.