Aperture cophasing can increase the resolution of a multi-aperture array while reducing optical system size and accounting for phase errors from hardware misalignments and atmospheric turbulence. Remapping apertures using an anamorphic pupil relay can separate the spatial frequency spectrum of a previously continuous modulation transfer function to facilitate a posteriori piston corrections between apertures [J. Opt. Soc. Am. A34, A47 (2017)JOAOD60740-323210.1364/JOSAA.34.000A47]. This study expands this method from two apertures to six using maximum likelihood estimation to calculate piston phase errors and least squares for tip and tilt. Perturbed test targets were generated for specific turbulence and noise values, providing random realizations of pistons, tips, tilts, and atmospheric phase screens. Results show improved Strehl ratios for corrected images in the presence of noise and atmospheric turbulence.

中文翻译：

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多孔径系统的计算相位校正算法。

孔径共相可以提高多孔径阵列的分辨率，同时减小光学系统的尺寸并解决硬件失准和大气湍流引起的相位误差。使用变形瞳孔中继器重新映射孔可以分离先前连续调制传递函数的空间频谱，以促进孔之间的后验活塞校正[J. 选择。Soc。上午。A34，A47（2017）JOAOD60740-323210.1364 / JOSAA.34.000A47]。这项研究使用最大似然估计法将这种方法从两个孔径扩展到六个孔径，以计算活塞相位误差，并为尖端和倾斜度最小平方。针对特定的湍流和噪声值生成了扰动的测试目标，从而提供了活塞，尖端，倾斜和大气相位屏的随机实现。