Single-shot fast phase diversity phase retrieval using a Lukosz modal-based synthetic hologram

A single-shot phase diversity phase retrieval (PDPR) method is proposed utilizing a synthetic computer-generated hologram (CGH). This CGH is designed by synthesizing two phases derived from the decomposition of a complex-amplitude hologram that encodes low-order Lukosz aberration modes. The synthetic CGH introduces multiple phase diversities, enabling the reconstruction of diverse images with high fidelity at the focal plane. Low-order Lukosz modes can be estimated independently by holographic modal wavefront sensing (HMWFS), which provides a good initial phase estimation for PDPR. It is demonstrated by simulation and experiment that the incorporation of HMWFS in PDPR enhances both the convergence speed and the capture range.