Stabilizing effect of random phase diffuser against wavefront distortions to the intensity distribution formed by Fourier hologram

The paper describes the stabilizing effect of random phase diffuser applied at recording or synthesis of Fourier hologram. The stabilizing effect is meant here as ability to keep quality of the image formed by Fourier hologram or kinoform in terms of preserving the main structure of intensity distribution under wavefront distortions of different scale in restoring beam. A theoretical explanation to the effect is given as converting of convolution of ideal image with hardware function of the system from coherent to non-coherent. Demonstrated are the results of computational and real experiments with synthesized Fourier hologram and SLM device. A test random wavefront distortion is taken for the experiments. Stabilization is demonstrated for the scale of distortion as large as approximately 5π of amplitude.