Iterative phase-retrieval method for generating stereo array of polarization-controlled focal spots

This Letter introduces an iterative phase-retrieval method based on the Gerchberg-Saxton (G-S) algorithm for generating any arbitrary 3D pattern in image space, while simultaneously controlling the polarization orientation at each pixel. For proof-of-principle, we generate a stereo focal spot array with distinct polarization orientation for each spot. This method is universal for controlling the output polarization; the only requirement is that the input polarization should be spatially inhomogeneous. This work has the potential to impact coherent imaging techniques and spectroscopy.