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Doppler asymmetric spatial heterodyne spectroscopy is recently developed for spaceborne measurement of middle and upper atmospheric wind field, which relies on the accurate inverse of interferogram phase to calculate the Doppler shift of airglow emission lines. The change of temperature leads the optical and mechanical components to thermally deformed, causing the imaging plane to thermally drift relative to the detector, changing the distribution of interferogram phase on pixels, and directly introducing phase errors to affect the wind speed inversion. In order to reduce the influence of imaging thermal drift on phase inversion, the segmented fitting method is used in this paper to detect the sub-pixel edges of notch patterns and monitor imaging thermal drift accordingly. In the thermal stability test of a near-infrared Doppler asymmetric spatial heterodyne interferometer prototype, the thermal imaging drifts and ambient temperature show a high consistency in the trend of high-frequency oscillation, and the correlation coefficient can reach 0.86 after removing the baseline. After phase correct by using the thermal imaging shift, the high-frequency oscillation of interferogram phase shift is also greatly suppressed. In order to further verify the accuracy of the algorithm, the influence of the data signal-to-noise ratio and the data distribution characteristic parameter errors used in the fitting on the edge detection are simulated. The results show that the edge detection accuracy is restricted mainly by the data signal-to-noise ratio and the accuracy of the fringe frequency parameters. When the error of the fringe frequency parameter used for fitting is less than 0.5%, the error of other data distribution characteristic parameters is less than 5%, and the data signal-to-noise ratio is enhanced more than 35 times, the algorithm in this paper can achieve a detection accuracy higher than 0.05 pixels.
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Keywords:
- atmospheric wind field measurement /
- Doppler asymmetric spatial heterodyne spectroscopy /
- interferometric imaging /
- imaging shift
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Ye J Y, Zhang C M, Zhao B C, Li Y C 2008 Acta Phys. Sin. 57 0067
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Ruan K, Zhang C M, Zhao B C 2008 Acta Phys. Sin. 57 5435
Google Scholar
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Google Scholar
Zhu H C, Zhang C M, Jian X H 2010 Acta Phys. Sin. 59 0893
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[4] 张淳民, 朱兰艳 2010 物理学报 59 0989
Google Scholar
Zhang C M, Zhu L Y 2010 Acta Phys. Sin. 59 0989
Google Scholar
[5] 唐远河, 崔进, 郜海阳, 屈欧阳, 段晓东, 李存霞, 刘丽娜 2017 物理学报 66 130601
Google Scholar
Tang Y H, Cui J, Gao H Y, Qu O Y, Duan X D, Li C X, Liu L N 2017 Acta Phys. Sin. 66 130601
Google Scholar
[6] 冯玉涛, 李娟, 赵增亮, 原晓斌, 余涛, 武魁军, 郝雄波, 傅頔, 孙剑, 王爽 2017 上海航天 34 14
Feng Y T, Li J, Zhao Z L, Yuan X B, Yu T, Fu J G, Wu K J, Hao X B, Fu D, Sun J, Wang S 2017 Aerospace Shanghai 34 14
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Google Scholar
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Google Scholar
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Google Scholar
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Bai Y L, Sun J, Hao X B, Wu J Q, Bai Q L, Feng Y T 2018 Acta Photon. Sin. 47 0922002
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[14] 孙剑, 冯玉涛, 白清兰, 王咏梅, 汶徳胜 2013 光学精密工程 21 1167
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Google Scholar
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Google Scholar
[17] Harlander J M, Engler C R, Marr K D, Harding B J, Chu K T 2019 Appl. Opt. 58 3613
Google Scholar
[18] 夏阳阳 2015 硕士学位论文 (上海: 上海师范大学)
Xia Y Y 2015 M. S. Thesis (Shanghai: Shanghai Normal University) (in Chinese)
[19] 杨凯华 2017 硕士学位论文 (杭州: 浙江工业大学)
Yang K H 2017 M. S. Thesis (Hangzhou: Zhejiang University of Technology) (in Chinese)
[20] 张美静 2013 硕士学位论文 (沈阳: 沈阳理工大学)
Zhang M J 2013 M. S. Thesis (Shenyang: Shenyang Ligong University) (in Chinese)
[21] 张舞杰, 李迪, 叶峰 2009 华南理工大学学报(自然科学版) 37 39
Zhang W J, Li D, Ye F 2009 Journal of South China University of Technology (Natural Science Edition) 37 39
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图 1 多普勒差分干涉仪基本结构以及基于FT的相位反演流程示意
Figure 1. Configuration of Doppler asymmetric spatial heterodyne interferometer and phase inversion process based on Fourier transform.
图 2 从实测干涉图像中部分截取的光栅刻槽图案(下); 在刻槽顶端选取的邻近两行数据, 其中一行含刻槽, 另一行为正常的干涉条纹(上)
Figure 2. Notch pattern partly intercepted from laboratory measured interferogram (the below part); the neighboring two lines of data selected at the top of notch pattern, one is the notch row, and the other is the normal interference fringe (the upper part).
图 3 近红外多普勒差分干涉仪样机示意图
Figure 3. Schematic diagram of the near infrared DASH prototype.
图 4 对热稳定测试数据进行像面漂移监测的结果示意. 刻槽漂移中, 黑色曲线代表原始检测结果, 红色曲线代表平滑得到的趋势线; 相位漂移中, 黑色曲线代表原始的相位漂移, 红色曲线代表校正后的相位漂移
Figure 4. Schematic diagram of image plane drift monitoring results of thermal stability test data. In the graph of notch drift, the black curve represents the original result, and the red curve represents the smoothed trend line. In the graph of phase drift, the black curve represents the original result, and the red curve represents the corrected phase.
图 5 数据信噪比对刻槽边缘检测误差影响示意 (a)100次仿真实验的结果; (b) 不同信噪比对应100次重复结果的标准差
Figure 5. Schematic diagram of the influence of SNR on notch edge detection error: (a) Results of 100 simulation experiments; (b) the standard deviation of 100 repetitions for different SNR.
图 6 干涉条纹频率的相对误差对刻槽边缘检测误差的影响示意图. 黑点代表一次仿真的误差, 红色曲线代表100次仿真的平均误差(图7—图11同) (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 6. Schematic diagram of the influence of the relative error of the interference fringe frequency on the notch edge detection error. The black points represent the error of single simulation, and the red curve represents the average error of 100 simulations (This is the same as those in Fig. 7-Fig. 11): (a), (b) SNR = 25; (c), (d) SNR = 100
图 7 干涉条纹振幅的相对误差对刻槽边缘检测误差的影响示意 (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 7. Schematic diagram of the influence of the relative error of the interference fringe amplitude on the notch edge detection error: (a), (b) SNR = 25; (c), (d) SNR = 100.
图 8 干涉条纹相位相对误差对刻槽边缘检测误差的影响示意图 (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 8. Schematic diagram of the influence of the relative error of interference fringe phase on the notch edge detection error: (a), (b) SNR = 25; (c), (d) SNR = 100.
图 9 干涉条纹基线相对误差对刻槽边缘检测误差的影响示意图 (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 9. Schematic diagram of the influence of the relative error of interference fringe baseline on the notch edge detection error: (a), (b) SNR = 25; (c), (d) SNR = 100.
图 10 刻槽内灰度分布特征值相对误差对刻槽边缘检测误差的影响示意图 (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 10. Schematic gram of the influence of the relative error of the characteristic gray-scale value in the notch area on the notch edge detection error: (a), (b) SNR = 25; (c), (d) SNR = 100.
图 11 刻槽宽度对刻槽边缘检测误差的影响示意图 (a), (b) SNR = 25; (c), (d) SNR = 100
Figure 11. Schematic gram of the influence of the relative error of notch width on the notch edge detection error: (a), (b) SNR = 25; (c), (d) SNR = 100.
表 1 近红外实验样机工作参数
Table 1. Working parameters of near infrared experimental prototype.
干涉仪 工作波长/nm 867.17 温控精度/℃ ±0.2 光程差/mm 49.87 探测器 像元数 2048×2048 像元尺寸/μm 6.5 温度传感器 测温精度/℃ 0.1 
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[1] 叶剑勇, 张淳民, 赵葆常, 李英才 2008 物理学报 57 0067
Google Scholar
Ye J Y, Zhang C M, Zhao B C, Li Y C 2008 Acta Phys. Sin. 57 0067
Google Scholar
[2] 阮锴, 张淳民, 赵葆常 2008 物理学报 57 5435
Google Scholar
Ruan K, Zhang C M, Zhao B C 2008 Acta Phys. Sin. 57 5435
Google Scholar
[3] 朱化春, 张淳民, 简小华 2010 物理学报 59 0893
Google Scholar
Zhu H C, Zhang C M, Jian X H 2010 Acta Phys. Sin. 59 0893
Google Scholar
[4] 张淳民, 朱兰艳 2010 物理学报 59 0989
Google Scholar
Zhang C M, Zhu L Y 2010 Acta Phys. Sin. 59 0989
Google Scholar
[5] 唐远河, 崔进, 郜海阳, 屈欧阳, 段晓东, 李存霞, 刘丽娜 2017 物理学报 66 130601
Google Scholar
Tang Y H, Cui J, Gao H Y, Qu O Y, Duan X D, Li C X, Liu L N 2017 Acta Phys. Sin. 66 130601
Google Scholar
[6] 冯玉涛, 李娟, 赵增亮, 原晓斌, 余涛, 武魁军, 郝雄波, 傅頔, 孙剑, 王爽 2017 上海航天 34 14
Feng Y T, Li J, Zhao Z L, Yuan X B, Yu T, Fu J G, Wu K J, Hao X B, Fu D, Sun J, Wang S 2017 Aerospace Shanghai 34 14
[7] Englert C R, Harlander J M, Babcock D D, Stevens M H, Siskind D E 2006 Atmospheric Optical Modeling, Measurement, and Simulation II San Diego, California, USA, September 1, 2006 p6303
[8] Englert C R, Babcock D D, Harlander J M 2007 Appl. Opt. 46 7297
Google Scholar
[9] Marr K D, Thayer A S, Englert C R, Harlander J M 2020 Opt. Eng. 59 013102
[10] Zhang Y F, Feng Y T, Fu D, Wang P C, Sun J, Bai Q L 2020 Chin. Phys. B 29 104204
Google Scholar
[11] Kuang Y L, Fang L, Peng X, Cheng X, Zhang H, Liu E H 2018 Acta Phys. Sin. 67 140703
Google Scholar
[12] Engler C R, Harlander J M, Brown C M, Marr K D, Miller I J, Stump J E, Hancock J, Peterson J Q, Kumler J, Morrow W H, Mooney T A, Ellis S, Mende S B, Harris S E, Stevens M H, Makela J J, Harding B J, Immel T J 2017 Space Sci. Rev. 212 1
Google Scholar
[13] 白玉龙, 孙剑, 郝雄波, 武俊强, 白清兰, 冯玉涛 2018 光子学报 47 0922002
Google Scholar
Bai Y L, Sun J, Hao X B, Wu J Q, Bai Q L, Feng Y T 2018 Acta Photon. Sin. 47 0922002
Google Scholar
[14] 孙剑, 冯玉涛, 白清兰, 王咏梅, 汶徳胜 2013 光学精密工程 21 1167
Google Scholar
Sun J, Feng Y T, Bai Q L, Wang Y M, Wen D S 2013 Opt. Precision Eng. 21 1167
Google Scholar
[15] Liu J, Wei D, Zhu Y, Kaufmann M, Olschewski F, Mantel K, Xu J, Riese M 2018 Appl. Opt. 57 8829
Google Scholar
[16] Sun C, Feng Y T, Fu D, Zhang Y F, Li J, Liu X B 2020 Acta Phys. Sin. 69 014202
Google Scholar
[17] Harlander J M, Engler C R, Marr K D, Harding B J, Chu K T 2019 Appl. Opt. 58 3613
Google Scholar
[18] 夏阳阳 2015 硕士学位论文 (上海: 上海师范大学)
Xia Y Y 2015 M. S. Thesis (Shanghai: Shanghai Normal University) (in Chinese)
[19] 杨凯华 2017 硕士学位论文 (杭州: 浙江工业大学)
Yang K H 2017 M. S. Thesis (Hangzhou: Zhejiang University of Technology) (in Chinese)
[20] 张美静 2013 硕士学位论文 (沈阳: 沈阳理工大学)
Zhang M J 2013 M. S. Thesis (Shenyang: Shenyang Ligong University) (in Chinese)
[21] 张舞杰, 李迪, 叶峰 2009 华南理工大学学报(自然科学版) 37 39
Zhang W J, Li D, Ye F 2009 Journal of South China University of Technology (Natural Science Edition) 37 39
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