Phase retrieval algorithm is an effective method to reconstruct the surface distortions for reflector antennas. As the traditional Fourier iterative algorithms usually stagnate at local minima, we previously proposed a global phase retrieval algorithm, named CMAES-HIO, based on the hybridization of hybrid-input-output algorithm and covariance matrix adaptation evolution strategy. We address the problem of selection of the Zernike order used in the phase parameterization for CMAES-HIO algorithm in this paper. By introducing a hybrid evaluation parameter, which combines the algorithm accuracy and time consumption, we utilize the Monte-Carlo method to simulate the algorithm performance under different random surface distortions. Simulation results show that for an unknown surface distortion, a Zernike order of 5 or 6 is probably the optimum for the comprehensive algorithm performance with respect to time and accuracy.

中文翻译：

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全局相位检索算法相位参数化中最优Zernike阶的研究

相位检索算法是重建反射面天线表面畸变的有效方法。由于传统的傅里叶迭代算法通常停留在局部最小值，我们之前提出了一种基于混合输入输出算法和协方差矩阵自适应进化策略的全局相位检索算法，命名为CMAES-HIO。在本文中，我们解决了 CMAES-HIO 算法的相位参数化中使用的 Zernike 阶的选择问题。通过引入一个结合算法精度和时间消耗的混合评价参数，我们利用蒙特卡罗方法来模拟不同随机表面畸变下的算法性能。仿真结果表明，对于未知的表面变形，