Testing of Lagrange multiplier damped least-squares control algorithm for woofer-tweeter adaptive optics

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Date

2012

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The Optical Society of America

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 DMcorrecting the low-stroke, high-order aberrations. The optimal damping factor for a DMis 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

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Keywords

Control accuracy, Eigenvalue spectra, High-order aberrations, Influence matrix, Lagrange, Least Square, Optimal damping, Optimization process, Optimized control, Root Mean Square, Wavefront aberrations, Wavefront errors, Aberrations, Eigenvalues and eigenfunctions, Lagrange multipliers, Loudspeakers, Optical testing, Optimization, Wavefronts, Algorithms, astronomy, human, ophthalmoscope, ophthalmoscopy, optical instrumentation, regression analysis, statistics, validation study, Astronomical Processes, Equipment Design, Least-Squares Analysis, Lenses

Citation

Zou, W., & Burns, S. A. (2012). Testing of lagrange multiplier damped least-squares control algorithm for woofer-tweeter adaptive optics. Applied Optics, 51(9), 1198-1208. http://dx.doi.org/10.1364/AO.51.001198

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© 2012 Optical Society of America

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Article