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18 February 2021 Jacobian-free coronagraphic wavefront control using nonlinear optimization
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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.

© 2021 Society of Photo-Optical Instrumentation Engineers (SPIE) 2329-4124/2021/$28.00 © 2021 SPIE
Scott D. Will, Tyler D. Groff, and James R. Fienup "Jacobian-free coronagraphic wavefront control using nonlinear optimization," Journal of Astronomical Telescopes, Instruments, and Systems 7(1), 019002 (18 February 2021). https://doi.org/10.1117/1.JATIS.7.1.019002
Received: 13 August 2020; Accepted: 20 January 2021; Published: 18 February 2021
JOURNAL ARTICLE
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