摘要

基于模型的无波前探测自适应光学系统具有收敛速度快、校正效果好的优势，在实时波前校正中具有较大的应用潜力。成像掩模探测器信号SMD与波前相位的平均梯度平方和SMG 之间的线性关系是系统控制算法设计的基础。为了验证SMD和SMG之间的线性关系，使用37单元压电变形镜、CCD相机和哈特曼传感器等主要元件建立自适应光学系统实验平台，其中利用变形镜产生波前畸变信息，利用CCD探测远场光强分布，利用哈特曼获取波前信息。基于获得的光强信息和波前畸变信息，分别计算SMD值和SMG值。实验结果验证了SMD和SMG之间的线性关系，且线性值为0.018，非常接近理论值1/(4π2)。

Abstract

The model-based wavefront sensorless adaptive optics (AO) system has a great potential in real-time correction because of its fast convergence and good correction. The linear relationship between imaging masked detector signal SMD and mean square gradient of wavefront phase SMG is the theoretical basis of the system control algorithm. To verify the linear relationship, we establish an AO system experiment platform with a 37-element piezoelectric deformable mirror(DM), a CCD camera and a Shack Hartmann sensor, in which the DM is used to generate wavefront aberration, the CCD camera is used to grab the distribution of far-field intensity and the Hartmann is used to get the information of wavefront. Based on the collected information of far-field intensity and the wavefront aberration, we calculate values of SMD and SMG, respectively. Experiment results show that SMD is linear to SMG and the slop is 0.018, which is very close to the theoretical value 1/(4π2).

补充资料

中图分类号：O439

DOI：10.3788/cjl201845.0605001

所属栏目：光束传输与控制

基金项目：国家自然科学基金(11573011,61601194)、江苏省高校“青蓝工程”中青年学术带头人资助项目、连云港市港城微·博双创计划(GCWB2007009)

收稿日期：2017-10-31

修改稿日期：2017-12-07

网络出版日期：--

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联系人作者：杨慧珍(yanghz526@126.com)

备注：王斌(1991—)，男，硕士研究生，主要从事自适应光学技术方面的研究。E-mail: 1096142993@qq.com

【1】Muller R A, Buffington A. Real-time correction of atmospherically degraded telescope images through image sharpening［J］. Journal of the Optical Society of America, 1974, 64(9): 1200-1210.

【2】Yang P, Liu Y, Yang W, et al. An adaptive laser beam shaping technique based on a genetic algorithm［J］. Chinese Optics Letters, 2007, 5(9): 497-500.

【3】Zhao L N, Dai Y, Zhao J L, et al. Super-resolution imaging of pupil filter using deformable mirror［J］. Laser & Optoelectronics Progress, 2017, 54(4): 041801.
赵丽娜, 戴云, 赵军磊, 等. 基于变形反射镜的光瞳滤波超分辨成像［J］. 激光与光电子学进展, 2017, 54(4): 041801.

【4】Han L Q, You Y H. Performance of multiple input multiple output free space optical communication under atmospheric turbulence and atmospheric attenuation［J］. Chinese Journal of Lasers, 2016, 43(7): 0706004.
韩立强, 游雅晖. 大气衰减和大气湍流效应下多输入多输出自由空间光通信的性能［J］. 中国激光, 2016, 43(7): 0706004.

【5】Song H, Fraanje R, Schitter G, et al. Model-based aberration correction in a closed-loop wavefront-sensor-less adaptive optics system［J］. Optics Express, 2010, 18(23): 24070-24084.

【6】Yang H Z, Wu J, Gong C L. Model-based sensorless adaptive optics system［J］. Acta Optica Sinica, 2014, 34(8): 0801002.
杨慧珍, 吴健, 龚成龙. 基于模型的无波前探测自适应光学系统［J］. 光学学报, 2014, 34(8): 0801002.

【7】Wang Z Q, Zhang P F, Qiao C H, et al. Simulation and analysis of general model-based wave-front sensorless adaptive optics system［J］. Chinese Journal of Lasers, 2016, 43(9): 0905002.
王志强, 张鹏飞, 乔春红, 等. 基于普适模型的无波前探测自适应光学系统仿真与分析［J］. 中国激光, 2016, 43(9): 0905002.

【8】Jiang P Z, Ma H T, Yuan L F, et al. Shaped beam of arbitrary size with adaptive optics based on stochastic parallel gradient descent algorithm［J］. Chinese Journal of Lasers, 2011, 38(12): 1202008.
蒋鹏志, 马浩统, 袁凌峰, 等. 基于并行梯度下降算法的自适应任意口径光束整形［J］. 中国激光, 2011, 38(12): 1202008.

【9】Zhang J B, Chen B, Wang C X, et al. Dynamical wave-front distortion correction experiment based on stochastic parallel gradient descent algorithm for 61-element adaptive optics system［J］. Chinese Journal of Lasers, 2010, 37(3): 668-674.
张金宝, 陈波, 王彩霞, 等. 61单元自适应光学系统随机并行梯度下降算法动态实验研究［J］. 中国激光, 2010, 37(3): 668-674.

【10】Wu J, Yang H Z, Gong C L. Research of stochastic parallel gradient descent algorithm based on segmentation random disturbance amplitude［J］. Chinese Journal of Lasers, 2014, 41(7): 0712001.
吴健, 杨慧珍, 龚成龙. 基于分段随机扰动幅值的随机并行梯度下降算法研究［J］. 中国激光, 2014, 41(7): 0712001.

【11】Booth M J. A model-based approach to wave front sensorless adaptive optics［C］. SPIE, 2007, 6306: 63060M.

【12】Booth M J. Wavefront sensorless adaptive optics for large aberrations［J］. Optics Letters, 2007, 32(1): 5-7.

【13】Huang L H, Rao C H. Wavefront sensorless adaptive optics: a general model-based approach［J］. Optics Express, 2011, 19(1): 371-379.

【14】Huang L H. Coherent beam combination using a general model-based method［J］. Chinese Physics Letters, 2014, 31(9): 094205.

【15】Yang H Z, Soloviev O, Verhaegen M. Model-based wavefront sensorless adaptive optics system for large aberrations and extended objects［J］. Optics Express, 2015, 23(19): 24587-24601.

引用该论文

Wang Bin,Ma Liang,Yang Huizhen,Gong Chenglong. Verification of Linear Dependence Between Imaging Masked Detector Signal and Mean Square Gradient of Wavefront Phase[J]. Chinese Journal of Lasers, 2018, 45(6): 0605001

王斌,马良,杨慧珍,龚成龙. 成像掩模探测器信号与波前相位平均梯度平方和线性关系验证[J]. 中国激光, 2018, 45(6): 0605001