Abstract

The phase retrieval method based on random phase modulation can wipe out any ambiguity and stagnation problem in reconstruction. However, the two existing reconstruction algorithms for the random phase modulation method are suffering from problems. The serial algorithm from the spread-spectrum phase retrieval method can realize rapid convergence but has poor noise immunity. Although there is a parallel framework that can suppress noise, the convergence speed is slow. Here, we propose a random phase modulation phase retrieval method based on a serial–parallel cascaded reconstruction framework to simultaneously achieve quality imaging and rapid convergence. The proposed serial–parallel cascaded method uses the phased result from the serial algorithm to serve as the initialization of the subsequent parallel process. Simulations and experiments demonstrate that the superiorities of both serial and parallel algorithms are fetched by the proposed serial–parallel cascaded method. In the end, we analyze the effect of iteration numbers from the serial process on the reconstruction performance to find the optimal allocation scope of iteration numbers.

Highlights

  • The profile and inner structure of an object lie in the complex field scattered from the object.current detectors are only sensitive to amplitude, leaving the phase information unrecorded.The problem that remains to be solved is how to get the phase information of a wavefront, because of the lack of apparatus with a response frequency faster than the wave frequency

  • We propose a beam-propagation-based phase retrieval method based on random phase modulation and a serial–parallel cascaded reconstruction framework, which can suppress the phase modulation and a serial–parallel cascaded reconstruction framework, which can suppress the noise generated during the imaging process while realizing rapid convergence

  • The proposed method combines the serial and parallel reconstruction framework to simultaneously The proposed method combines the serial and parallel reconstruction framework to guarantee noise immunity and convergence speed, which can be divided into two steps: (a) using the simultaneously guarantee noise immunity and convergence speed, which can be divided into two serial reconstruction algorithm to obtain an acceptable phase estimation; (b) using the estimation as an steps: (a) using the serial reconstruction algorithm to obtain an acceptable phase estimation; (b) using initialization to carry out the iterations of the parallel algorithm

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Summary

Introduction

The profile and inner structure of an object lie in the complex field scattered from the object. Successful reconstruction could be obtained with these methods, the difficulties encountered in obtaining a tight support constraint limit the application scope To overcome these restrictions, multi-image phase retrieval techniques that use different kinds of diversities in data collection were proposed [9,10,11,12,13,14,15,16,17,18,19,20,21]. We propose a beam-propagation-based phase retrieval method based on random phase modulation and a serial–parallel cascaded reconstruction framework, which can suppress the phase modulation and a serial–parallel cascaded reconstruction framework, which can suppress the noise generated during the imaging process while realizing rapid convergence.

Methods
The flowflow chart of the refinement procedure of U n
Experiment and Analysis
Conclusions

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