This paper presents a computationally efficient framework in which a single focal-plane image is used to obtain a high-resolution reconstruction of dynamic aberrations. Assuming small-phase aberrations, a non-linear Kalman filter implementation is developed whose computational complexity scales close to linearly with the number of pixels of the focal-plane camera. The performance of the method is tested in a simulation of an adaptive optics system, where the small-phase assumption is enforced by considering a closed-loop system that uses a low-resolution wavefront sensor to control a deformable mirror. The results confirm the computational efficiency of the algorithm and show a large robustness against noise and model uncertainties.

中文翻译：

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使用非线性卡尔曼滤波框架的大时变像差的相位检索

本文提出了一种有效的计算框架，其中使用单个焦平面图像获得高分辨率的动态像差重建。假设小相位像差，开发了一种非线性卡尔曼滤波器实现，其计算复杂度与焦平面相机的像素数量线性接近。该方法的性能在自适应光学系统的仿真中进行了测试，其中通过考虑使用低分辨率波前传感器控制可变形反射镜的闭环系统来实施小相位假设。结果证实了该算法的计算效率，并显示出对噪声和模型不确定性的强大鲁棒性。