Jacobian-free coronagraphic wavefront control using nonlinear optimization

Jacobian-free coronagraphic wavefront control using nonlinear optimization
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DOI:
10.1117/1.jatis.7.1.019002
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发表时间:
2021-01
期刊:
Journal of Astronomical Telescopes, Instruments, and Systems
影响因子:
--
通讯作者:
S. Will;T. Groff;J. Fienup
S. Will;T. Groff;J. Fienup
中科院分区:
其他
文献类型:
--
作者:
S. Will;T. Groff;J. Fienup

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抽象的。我们描述了一种用于冠脉造影焦平面波前控制的方法,该方法利用基于梯度的非线性优化以及通过算法微分获得的解析梯度来寻找可变形镜解。除了消除了计算高维有限差分雅可比矩阵的成本外,我们还证明了这种方法提高了渐近计算效率。与基于雅可比的算法相比,使用非常高的执行器可变形反射镜,例如用于大型UV/光学/红外测量器任务概念的128×128执行器,所提出的算法减少了大约95%的内存消耗。
Abstract. We describe an approach to coronagraphic focal-plane wavefront control that utilizes gradient-based nonlinear optimization along with analytical gradients obtained with algorithmic differentiation to find deformable mirror solutions. In addition to eliminating the cost of calculating a high-dimensional finite-difference Jacobian matrix, we show that this approach leads to improved asymptotic computational efficiency. With very high-actuator deformable mirrors such as the 128 × 128 actuators baselined for the Large UV/Optical/IR Surveyor mission concept, the proposed algorithm reduces memory consumption by approximately 95 % compared to a Jacobian-based algorithm.