Coherent diffraction imaging through shift-invariant scattering

In this paper, we present a method for single-shot phase imaging with a wide field of view based on coherent diffraction imaging. Coherent diffraction imaging can be implemented by compact optical hardware without any interferometric measurement, but one issue is a severely limited field of view. Although this limited field of view is extendable by introducing random optical processes, this solution increases the costs of optical hardware and computations. To solve this issue, we utilize a shift-invariant scattering process in coherent diffraction imaging. This optical process is implemented by inserting a scattering plate on the pupil plane in an imaging system. In the proposed method, a complex amplitude object is illuminated with coherent light, and a single diffraction intensity image from the object is captured through the convolution of the scattering point spread function, which is probed in advance. The object field is reconstructed from the captured intensity image based on the ptychographical iterative engine, taking into account the randomized convolution process. The proposed method is numerically analyzed and experimentally demonstrated.