Phase retrieval from coded diffraction patterns

Abstract

 The classical iterative phase retrieval method has the disadvantages of poor anti-noise performance,and can not converge to the global optimal solution.The optimization of phase retrieval technology via PhaseCut(PC)transforms the phase retrieval problem into quadratic constrained convex programming problem,and gets the global optimal solution up to global phase.Some more structured and less random ternary masks and octonary masks are used to code the signal of interest to acquire diffraction patterns which can recover the missing phase information by solving PhaseCut.Simulations are firstly performed to test the one dimensional complex signal and compare the success rates of reconstruction using different masks.Secondly,the reconstruction results of two dimensional molecular images are compared for different masks.The results show that the method can obtain better reconstruction results than the traditional method which is based on binary masks.Moreover,the recovered phase distributions are loaded to the optical reconstruction system based on liquid crystal on silicon(LCOS).The diffraction pattern of real experiment proves the effectiveness of the proposed method.