Adaptive Control Algorithms for Adaptive Optics Applications

Chu 9803759本研究涉及用于自适应光学应用的自适应控制算法的设计、分析和性能评估。这项研究可能导致在几个应用领域使用改进的技术，包括地面天文成像处理、医学、通信和激光技术。一个具体的领域是自适应光学系统的可变形反射镜控制计算，以补偿大气湍流。这一应用中的挑战是大气变化迅速，湍流的统计数据通常是未知的。这项研究的目的有三个：(1)发展一种关于如何利用测量数据估计湍流统计的数学理论，(2)设计一种能够实现高效实时计算的快速算法，以及(3)将该理论和算法集成到实际应用设施中。

Chu 9803759 This research concerns the design, analysis and performance evaluation of adaptive control algorithms for adaptive optics applications. This investigation could lead to improved techniques for use in several areas of applications, including ground-based astro-imaging processing, medicine, communications, and laser technology. One specific area is the deformable mirror control computation for adaptive-optics systems to compensate for atmospheric turbulence. The challenges in this application are that atmosphere changes rapidly and that the statistics of the turbulence usually is unknown. The purpose of this study is threefold: (1) to develop a mathematical theory on how the turbulence statistics can be estimated using measured data, (2) to design a fast algorithm that enables efficient computation in real time, and (3) to integrate the theory and the algorithm into real application facilities.