title: Testing of Lagrange multiplier damped least-squares control algorithm for woofer-tweeter adaptive optics.
abstract: A Lagrange multiplier-based damped least-squares control algorithm for woofer-tweeter (W-T) dual deformable-mirror (DM) adaptive optics (AO) is tested with a breadboard system. We show that the algorithm can complementarily command the two DMs to correct wavefront aberrations within a single optimization process: the woofer DM correcting the high-stroke, low-order aberrations, and the tweeter DM correcting the low-stroke, high-order aberrations. The optimal damping factor for a DM is found to be the median of the eigenvalue spectrum of the influence matrix of that DM. Wavefront control accuracy is maximized with the optimized control parameters. For the breadboard system, the residual wavefront error can be controlled to the precision of 0.03 μm in root mean square. The W-T dual-DM AO has applications in both ophthalmology and astronomy.
authors.affiliation: School of Optometry, Indiana University, 800 East Atwater Avenue, Bloomington, Indiana 47405, USA. zouweiyao@gmail.com
authors.forename: Weiyao
authors.initials: W
authors.lastname: Zou
authors.forename: Stephen A
authors.initials: SA
authors.lastname: Burns
mesh_terms: D000465:Algorithms; D055580:Astronomical Phenomena; D004867:Equipment Design; D006801:Humans; D016018:Least-Squares Analysis; D007909:Lenses / Q000706:statistics & numerical data; D019721:Ophthalmoscopes; D009887:Ophthalmoscopy / Q000706:statistics & numerical data*; D055096:Optical Devices / Q000706:statistics & numerical data*