Generalizing the Gerchberg–Saxton algorithm for retrieving complex optical transmission matrices

• DOI: 10.1364/prj.406010
• Publication Date: 2020-11-05T14:30:07Z
• Authors: Guoqiang Huang; Daixuan Wu; Jiawei Luo; Liang Lu; Fan Li; Yuecheng Shen; Zhaohui Li
• Keywords: 0301 basic medicine; 03 medical and health sciences

The Gerchberg–Saxton (GS) algorithm, which retrieves phase information from the measured intensities on two related planes (the source plane and target plane), has been widely adopted in a variety of applications when holographic methods are challenging to be implemented. In this work, we showed that GS algorithm can generalized retrieve unknown propagating function connects these planes. As proof-of-concept, employed (GGS) optical transmission matrix (TM) complex medium through intensity distributions plane. Numerical studies indicate GGS efficiently TM while maintaining accuracy. With same training data set, computational time cost by is orders magnitude less than consumed other non-holographic reported literature. Besides numerical investigations, also experimentally demonstrated retrieving TMs stack ground glasses 1-m-long multimode fiber using algorithm. accuracy retrieved was evaluated synthesizing high-quality single foci multiple media. These results handle large with high efficiency, showing great promise optics.