Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system

doi:10.1088/1674-1056/24/8/084214

中国物理B ›› 2015, Vol. 24 ›› Issue (8): 84214-084214.doi: 10.1088/1674-1056/24/8/084214

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system

程生毅^{a b c}, 刘文劲^{a c}, 陈善球^{a c}, 董理治^{a c}, 杨平^{a c}, 许冰^a

a Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
b Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
c University of the Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2014-10-22 修回日期:2015-02-06 出版日期:2015-08-05 发布日期:2015-08-05
基金资助:
Project supported by the National Key Scientific and Research Equipment Development Project of China (Grant No. ZDYZ2013-2), the National Natural Science Foundation of China (Grant No. 11173008), and the Sichuan Provincial Outstanding Youth Academic Technology Leaders Program, China (Grant No. 2012JQ0012).

Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system

Cheng Sheng-Yi (程生毅)^{a b c}, Liu Wen-Jin (刘文劲)^{a c}, Chen Shan-Qiu (陈善球)^{a c}, Dong Li-Zhi (董理治)^{a c}, Yang Ping (杨平)^{a c}, Xu Bing (许冰)^a

a Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
b Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
c University of the Chinese Academy of Sciences, Beijing 100049, China

Received:2014-10-22 Revised:2015-02-06 Online:2015-08-05 Published:2015-08-05
Contact: Xu Bing E-mail:bing_xu_ioe@163.com
Supported by:
Project supported by the National Key Scientific and Research Equipment Development Project of China (Grant No. ZDYZ2013-2), the National Natural Science Foundation of China (Grant No. 11173008), and the Sichuan Provincial Outstanding Youth Academic Technology Leaders Program, China (Grant No. 2012JQ0012).

摘要/Abstract

摘要： Among all kinds of wavefront control algorithms in adaptive optics systems, the direct gradient wavefront control algorithm is the most widespread and common method. This control algorithm obtains the actuator voltages directly from wavefront slopes through pre-measuring the relational matrix between deformable mirror actuators and Hartmann wavefront sensor with perfect real-time characteristic and stability. However, with increasing the number of sub-apertures in wavefront sensor and deformable mirror actuators of adaptive optics systems, the matrix operation in direct gradient algorithm takes too much time, which becomes a major factor influencing control effect of adaptive optics systems. In this paper we apply an iterative wavefront control algorithm to high-resolution adaptive optics systems, in which the voltages of each actuator are obtained through iteration arithmetic, which gains great advantage in calculation and storage. For AO system with thousands of actuators, the computational complexity estimate is about O(n²)～ O(n³) in direct gradient wavefront control algorithm, while the computational complexity estimate in iterative wavefront control algorithm is about O(n)～ (O(n)^3/2), in which n is the number of actuators of AO system. And the more the numbers of sub-apertures and deformable mirror actuators, the more significant advantage the iterative wavefront control algorithm exhibits.

关键词: adaptive optics, iterative wavefront control algorithm, direct gradient wavefront control algorithm

Abstract: Among all kinds of wavefront control algorithms in adaptive optics systems, the direct gradient wavefront control algorithm is the most widespread and common method. This control algorithm obtains the actuator voltages directly from wavefront slopes through pre-measuring the relational matrix between deformable mirror actuators and Hartmann wavefront sensor with perfect real-time characteristic and stability. However, with increasing the number of sub-apertures in wavefront sensor and deformable mirror actuators of adaptive optics systems, the matrix operation in direct gradient algorithm takes too much time, which becomes a major factor influencing control effect of adaptive optics systems. In this paper we apply an iterative wavefront control algorithm to high-resolution adaptive optics systems, in which the voltages of each actuator are obtained through iteration arithmetic, which gains great advantage in calculation and storage. For AO system with thousands of actuators, the computational complexity estimate is about O(n²)～ O(n³) in direct gradient wavefront control algorithm, while the computational complexity estimate in iterative wavefront control algorithm is about O(n)～ (O(n)^3/2), in which n is the number of actuators of AO system. And the more the numbers of sub-apertures and deformable mirror actuators, the more significant advantage the iterative wavefront control algorithm exhibits.

Key words: adaptive optics, iterative wavefront control algorithm, direct gradient wavefront control algorithm

中图分类号: (Remote sensing; LIDAR and adaptive systems)

42.68.Wt

95.75.Qr (Adaptive and segmented optics) 07.05.Tp (Computer modeling and simulation)

程生毅, 刘文劲, 陈善球, 董理治, 杨平, 许冰. Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system[J]. 中国物理B, 2015, 24(8): 84214-084214.

Cheng Sheng-Yi (程生毅), Liu Wen-Jin (刘文劲), Chen Shan-Qiu (陈善球), Dong Li-Zhi (董理治), Yang Ping (杨平), Xu Bing (许冰). Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system[J]. Chin. Phys. B, 2015, 24(8): 84214-084214.

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Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system

Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system

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