Robust Phase Retrieval with Green Noise Binary Masks

Abstract

Phase retrieval with pre-defined optical masks can provide extra constraint and thus achieve improved performance. The recent progress in optimization theory demonstrates the superiority of random masks in phase retrieval algorithms. However, traditional approaches just focus on the randomness of the masks but ignore their non-bandlimited nature. When using these masks in the reconstruction process for phase retrieval, the high frequency part of the masks is often removed in the process and thus leads to degraded performance. Based on the concept of digital halftoning, this paper proposes a green noise binary masking scheme which can greatly reduce the high frequency content of the masks while fulfilling the randomness requirement. The experimental results show that the proposed green noise binary masking scheme outperform the traditional ones when using in a DMD-based coded diffraction pattern phase retrieval system.

Phase retrieval for arbitrary complex-valued objects using structured illumination

“…In parallel with the works dealing with CDI problems and carried out in the framework of the rigorous mathematical approach, AP algorithms, to a great extent euristic but mathematically simple and effective, continue to be developed for solving the CDI problem by modifying the traditional error reduction (ER) and hybrid inputoutput (HIO) algorithms [6,9,12,[23][24][25][26][27][28][29][30][31][32][33][34][35]. On this way, methods to vary f 0 (r) by structuring the illuminating radiation with the help of amplitude or phase coding masks are widely applied [9,10,15,25,[27][28][29][30][31]35], and methods for narrowing the band of frequencies inrtroduced by the masks into the general diffraction pattern [36], as well as the optimization of the spatial structures of the masks depending on the diffraction zone where the measurements are performed [11], are proposed. In order to obtain a better solution, some fitting parameters are introduced into the AP algorithm [5,24].…”

Phase retrieval for arbitrary complex-valued objects using structured illumination

“…In parallel with the works dealing with CDI problems and carried out in the framework of the rigorous mathematical approach, AP algorithms, to a great extent euristic but mathematically simple and effective, continue to be developed for solving the CDI problem by modifying the traditional error reduction (ER) and hybrid inputoutput (HIO) algorithms [6,9,12,[23][24][25][26][27][28][29][30][31][32][33][34][35]. On this way, methods to vary f 0 (r) by structuring the illuminating radiation with the help of amplitude or phase coding masks are widely applied [9,10,15,25,[27][28][29][30][31]35], and methods for narrowing the band of frequencies inrtroduced by the masks into the general diffraction pattern [36], as well as the optimization of the spatial structures of the masks depending on the diffraction zone where the measurements are performed [11], are proposed. In order to obtain a better solution, some fitting parameters are introduced into the AP algorithm [5,24].…”