A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer–tweeter adaptive optics system

• 来源期刊: 中国物理B（英文版）
• 关键词: dual deformable mirrors decoupling algorithm adaptive optics
• 年，卷（期）: 2018,（7）
• 页码范围: 279-288
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/7/070704

摘要

We propose a slope-based decoupling algorithm to simultaneously control the dual deformable mirrors (DMs) in a woofer–tweeter adaptive optics system. This algorithm can directly use the woofer's response matrix measured from a Shack–Hartmann wave-front sensor to construct a slope-based orthogonal basis, and then selectively distribute the large-amplitude low-order aberration to woofer DM and the remaining aberration to tweeter DM through the slope-based orthog-onal basis. At the same moment, in order to avoid the two DMs generating opposite compensation, a constraint matrix used to reset tweeter control vector is convenient to be calculated with the slope-based orthogonal basis. Numeral simulation demonstrates that this algorithm has a good performance to control the adaptive optics system with dual DMs simultane-ously. Compared with the typical decoupling algorithm, this algorithm can take full use of the compensation ability of woofer DM and release the stroke of tweeter DM to compensate high-order aberration. More importantly, it does not need to measure the accurate shape of tweeter's infl uence function and keeps better performance of restraining the coupling error with the continuous-dynamic aberration.