Point spread function shaping using geometric analysis

We present a method for shaping point spread functions (PSF) into simple geometric shapes that are free of noise or speckles. The derived phase distributions are intended for typical 2f setups used for reading out computer generated holograms (CGH). Used in conjunction with existing CGH techniques for spot distributions the shaped PSFs can similarly be distributed on a 3D working volume. The PSF's contiguous intensity and phase make them beneficial in many applications such as photo-stimulation, optical manipulation, multi-photon excitation and laser materials processing. This manuscript presents the derivations of the phase functions and their experimental demonstration.