SBIR Phase I: Fast, High-Precision Model-Based Deformable Mirror Calibration and Control in Adaptive Optics

这个小型企业创新研究（SBIR）第一阶段项目在自适应光学（AO）应用的可变形镜的快速、高精度校准和控制方面取得了重大进展。这是通过开发可变形镜性能的详细非线性模型和描述这种情况的微分方程的快速求解器来完成的。在标定过程中使用逆技术，在控制过程中使用快速求解器。这种方法比传统的方法提供了更好的性能，传统的方法假设变形镜是线性的，并且只近似地解决了两种重要的方法所涉及的微分方程。一是加快了闭环运算的收敛速度，二是实现了精确的开环控制。本文将通过适当水平的分析和仿真来证明所提出的两大主要成果，即变形镜的精确校准和高精度控制。该团队将专注于将这些进步应用于太阳系外行星的探测。这项工作的商业影响将是重大的，因为它将促进AO技术在激光通信、生物医学成像、消费电子、监测和太阳能等目前无法获得的领域的应用。虽然拟议工作的目的是将这种能力推向市场，但这项工作的科学价值本身就很重要。由于这项工作开发了微分方程的快速求解器，并解决了导致硬件实际校准和控制的逆问题，因此毫无疑问，这些技术具有科学价值，并将在这些领域发挥作用。“这项奖励是根据2009年美国复苏和再投资法案（公法111-5）资助的。”

This Small Business Innovative Research (SBIR) Phase I project provides a significant advancement of the state of the art in fast, high-precision calibration and control of deformable mirrors for adaptive optics (AO)applications. This is accomplished by the development of a detailed nonlinear model of deformable mirror performance and fast solvers for the differential equations that describe the situation. Inverse techniques are utilized in the calibration process and fast solvers are used in the control. This approach provides enhanced performance over conventional approaches which assume that the deformable mirror is linear and only approximately solves the differential equations involved in two important ways. The first is that convergence in closed loop operation will be accelerated and the second is that accurate open loop control is available. The two major results of the proposed effort, accurate calibration and high-precision control of deformable mirrors, will be demonstrated by using the appropriate level of analysis and simulation. The team will concentrate in applying these advances to extra solar planet detection. The commercial impact of this work will be significant as it will facilitate the application of AO technology to areas that are unavailable today such as laser communications, biomedical imaging, consumer electronics, surveillance, and solar energy. Although the purpose of the proposed work is to bring this capability to market the scientific merits of this work are significant in their own right. Since this effort develops fast solvers to differential equations and solving an inverse problem that leads to the practical calibration and control of hardware there is little doubt these techniques have scientific merit and will be useful in these areas."This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5)."