Reconstruction of a complex‐valued object under illumination with random light in coherent imaging through a random phase screen

Abstract

We consider the reconstruction of a complex-valued object that is illuminated with random light (a sequence of speckle distributions) and viewed through a random phase screen. The reconstruction involves a phase retrieval based on the measurement of a series of two shortexposure Fourier intensities: the intensity of the Fourier transform of the image and the intensity of the Fourier transform of the image after transmission through an exponential filter. The method of reconstructing the object consists of the two steps: the reconstruction of the object intensity distribution from the average correlation functions of the short-exposure Fourier intensities of the unfiltered and filtered image fields and the retrieval of the object phase from object intensity distributions reconstructed from the series of the two short-exposure Fourier intensities multiplied by exponential functions. Computer-simulated examples of the reconstruction of 1-D complex objects demonstrate that the reconstruction is robust.