相位恢复的蒙日-安培方程与迭代角谱复合型方法  

Composite Phase Retrieval Method Based on Monge-Ampère Equation and Iterative Angular Spectrum

作　　者：马骁 陈椿元 冯泽心 Ma Xiao;Chen Chunyuan;Feng Zexin(Beijing Engineering Research Center of Mixed Reality and Advanced Display,School of Optics and Photonics,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学光电学院北京市混合现实与新型显示工程技术研究中心,北京100081

出　　处：《激光与光电子学进展》2024年第5期245-252,共8页Laser & Optoelectronics Progress

基　　金：国家自然科学基金青年科学基金(11704030);中国人工智能学会-华为MindSpore学术奖励基金(CAAIXSJLJJ-2021-014A,CAAIXSJLJJ-2022-010A)。

摘　　要：融合几何光学的蒙日-安培方程方法和物理光学的迭代角谱算法,提出了一种复合型相位恢复方法。针对迭代角谱算法高度依赖初始值的问题,将蒙日-安培方程的解作为迭代初值,该初值通常比光强传输方程的解更准确。采用传统迭代角谱算法与混合输入输出算法的交替迭代策略,以避免算法过早陷入局部最优和迭代停滞。通过数值计算与仿真验证了所提复合型算法的优越性。We propose a new phase retrieval algorithm based on the combination of the Monge-Ampère equation and the iterative angular spectrum algorithm.Since the iterative angular spectrum algorithm is highly dependent on the initial value,we utilize the solution of the Monge-Ampère equation to initialize it,which is expected to yield more accurate results than the solution of the transport of intensity equation.To avoid the algorithm becoming stuck in local minima and iteration stagnation,we adopt an alternating iteration strategy between the traditional iterative angular spectrum algorithm and hybrid input-output algorithm.The effectiveness of the hybrid algorithm is demonstrated by numerical experiments.

关 键 词：相位测量 相位恢复 蒙日-安培方程 迭代角谱算法 光强传输方程 

分 类 号：O436[机械工程—光学工程]