High-fidelity ghost diffraction through complex scattering media using a modified Gerchberg-Saxton algorithm

Abstract

In this paper, we propose a modified Gerchberg-Saxton (GS) algorithm to generate random amplitude-only patterns as information carriers in ghost diffraction. With the generated random patterns, high-fidelity ghost diffraction through complex scattering media can be realized with a single-pixel detector. The modified GS algorithm adopts a support constraint in the image plane, which is divided into a target region and a support region. In the Fourier plane, amplitude of the Fourier spectrum is scaled to regulate the sum of the image function. A random amplitude-only pattern can be generated to encode a pixel of the data to be transmitted using the modified GS algorithm. Optical experiments are conducted to verify the proposed method in complex scattering environments, e.g., dynamic and turbid water with non-line-of-sight (NLOS). Experimental results demonstrate that the proposed ghost diffraction is of high fidelity and high robustness against complex scattering media. It is expected that an avenue could be opened up for ghost diffraction and transmission in complex media.