Large-scale phase retrieval method for wavefront reconstruction with multi-stage random phase modulation

Abstract

Phase retrieval method is popularly applied in wavefront sensing and quantitative phase imaging, while the stagnation problem in phase retrieval could seriously affect the accuracy and efficiency of the large-scale wavefront reconstruction. In this paper, we proposed an arbitrary complex-valued reconstruction method with multi-stage random phase modulation to eliminate the stagnation problem. The random phase modulation maximum breaks any symmetry and enriches information on diffraction patterns. The multi-stage random phase modulation is achieved by rotating structured light illumination through row-to-column conversion, which not only provides faster convergence speed but also circumvents resampling errors during the calculation. Besides, without an accurate model of illumination function and prior information of under-test wavefront, the arbitrary complex wavefront and the illumination function are both accurately reconstructed, simultaneously. We further demonstrate that our method is effective for the vortex phase plate measurement without introducing extra errors.