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The sky infrared background radiation varies greatly with spatial distribution and time. When scanning Fourier transform infrared remote sensing imaging system scans the target gas cloud with the sky as the background, the background radiation corresponding to each scanned pixel is different, and the background does not have a constant baseline. It is extremely difficult to obtain the background spectrum of each pixel in real time, which affects the inversion accuracy of the target gas cloud transmittance. An inversion method of target gas cloud transmittance based on atmospheric profile synthesis background is proposed in this work. The temperature, humidity, pressure, and ozone profiles of the measured locations and the atmospheric model are used to generate the sky infrared background in order to solve the problem, i.e. the difficulty in measuring the clean sky infrared background spectrum in the chemical industry park. This paper proposes that there is a continuous derivable relationship between the sky infrared background spectrum and the cosine of zenith angle at each wavenumber, so a small amount of sky infrared background spectrum with a zenith angle gradient can quickly generate a sky infrared background spectrum at any elevation angle. The proposed method is verified by the moderate resolution atmospheric radiative transfer model (MODTRAN) software simulation and the remote sensing imaging experiment of SF6 gas. The proposed method can quickly generate the sky infrared background spectrum corresponding to any angle within a gradient elevation angle and accurately invert the target gas cloud transmittance at each pixel. The results show that the distribution trend of the column concentration of the SF6 gas cloud is consistent with the actual distribution, and the correlation is 0.99979.
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Keywords:
- Fourier transform infrared spectroscopy /
- synthetic background /
- transmittance inversion /
- gas cloud scanning imaging
[1] Hu Y Y, Xu L, Shen X C, Jin L, Xu H Y, Deng Y S, Liu J G, Liu W Q 2021 Appl. Opt. 60 9396
Google Scholar
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Google Scholar
Jiao Y, Xu L, Gao M G, Jin L, Tong J J, Li S, Wei X L 2013 Acta Phys. Sin. 62 140705
Google Scholar
[3] Sabbah S, Rusch P, Gerhard J H, Harig R 2013 Proc. SPIE 8743 370
[4] Liou K N 2002 An Introduction to Atmospheric Radiation (Vol. 84) (Elsevier)
[5] Chen M H, Yuan C S, Wang L C 2015 Aerosol Air Qual. Res. 15 1110
Google Scholar
[6] Smith T E L, Wooster M J, Tattaris M, Griffith D W T 2011 Atmos. Meas. Tech. 4 97
Google Scholar
[7] Stremme W, Krueger A, Harig R, Grutter M 2012 Atmos. Meas. Tech. 5 275
Google Scholar
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Google Scholar
[9] Flanigan D F 1997 Appl. Opt. 36 7027
Google Scholar
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Google Scholar
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Gao M G, Liu W Q, Zhang T S, Liu C, Liu J G, Wei Q N, Lu Y H, Wang Y P, Zhu J, Xu L 2006 Spectrosc. Spec. Anal. 26 47
Google Scholar
[12] Harig R 2004 Appl. Opt. 43 4603
Google Scholar
[13] Harig R, Rusch P, Peters H, Gerhard J, Braun R, Sabbah S, Beecken J 2009 Proc. SPIE 7475 74750Z
[14] Li D C, Cui F X, Wang A J, Li Y Y, Wu J, Qiao Y L 2020 IEEE Trans. Geosci. Electron. 58 8649
Google Scholar
[15] 夏旻惠, 智协飞 2020 大气科学学报 43 652
Google Scholar
Xia M H, Zhi X F 2020 Trans. Atmos. Sci. 43 652
Google Scholar
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Google Scholar
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Feng M C, Xu L, Liu W Q, Liu J G, Gao M G, Wei X L 2016 Acta Phys. Sin. 65 014210
Google Scholar
[21] Keller W, Borkowski A 2019 J. Geod. 93 1251
Google Scholar
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图 1 天空场景下的3层辐射传输模型
Figure 1. Three-layer radiative transfer model under sky background.
图 2 MODTRAN中6种大气模式的温度廓线
Figure 2. Temperature profiles of six atmospheric models in MODTRAN.
图 3 在800.4976 cm–1处的辐射亮度随天顶角余弦值的变化
Figure 3. Variation of radiance at 800.4976 cm–1 with the cosine of zenith angle.
图 4 78.5°天顶角下的仿真谱与生成谱(插值生成谱进行了平移)
Figure 4. Simulated spectrum and the generated spectrum with a zenith angle of 78.5° (the interpolation generated spectrum has been shifted).
图 5 78.5°天顶角下的仿真谱与生成谱的差谱
Figure 5. Difference spectrum between the simulated spectrum and the generated spectrum at a zenith angle of 78.5°.
图 6 扫描FTIR遥测成像系统与测试场景
Figure 6. Scanning FTIR remote sensing imaging system and test scene.
图 7 像素光谱对应的测量姿态仰角 (a)参考区域各像素位置仰角; (b)扫描区域各像素位置仰角
Figure 7. Measured elevation corresponding to the pixel spectrum: (a) The elevation of each pixel in the reference area; (b) the elevation of each pixel in the scanning area.
图 8 4行7列像素位置的实测背景光谱、目标光谱及差谱
Figure 8. Measured background spectrum, target spectrum and difference spectrum of pixel position in 4 row and 7 column.
图 9 基于参考区域生成的背景谱与实测背景谱
Figure 9. Background spectrum generated based on reference area and measured background spectrum.
图 10 SF6透过率
Figure 10. SF6 transmittance.
图 11 两种背景反演的SF6柱浓度拟合分析结果
Figure 11. Fitting analysis results of SF6 column concentration of two backgrounds.
图 12 基于参考区域生成背景反演的柱浓度图像 (a)低阈值显示的SF6柱浓度图像; (b)高阈值显示的SF6柱浓度图像
Figure 12. Column concentration images based on background generated by the reference area: (a) SF6 column density image displayed at a low threshold; (b) SF6 column density image displayed at a high threshold.
图 13 实验场景的ECMWF廓线 (a)温度廓线; (b)相对湿度廓线; (c)臭氧廓线; (d)海拔
Figure 13. ECMWF profiles of experimental scenarios: (a) Temperature profile; (b) relative humidity profile; (c) ozone profile; (d) altitude
图 14 实测背景与ECMWF廓线仿真背景
Figure 14. Measured background and ECMWF profile simulation background.
图 15 基于ECMWF廓线合成背景提取的SF6目标光谱
Figure 15. SF6 target spectrum extracted by the synthesis background based on ECMWF profiles.
图 16 两种背景反演的SF6柱浓度拟合结果
Figure 16. Fitting analysis results of SF6 column concentration of two backgrounds.
图 17 基于ECMWF廓线合成背景反演的柱浓度图像 (a)低阈值显示的SF6柱浓度图像; (b)高阈值显示的SF6柱浓度图像
Figure 17. Column concentration images based on ECMWF profiles synthesis background: (a) SF6 column concentration image displayed at a low threshold; (b) SF6 column concentration image displayed at a high threshold.
表 1 MODTRAN大气模式
Table 1. Atmospheric models of MODTRAN.
模型序号 大气模式 边界层温度/K 1 热带 299.7 2 中纬度夏季 294.2 3 中纬度冬季 272.2 4 亚极地夏季 287.2 5 亚极地冬季 257.2 6 美国标准大气(1976) 288.2 
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表 2 ECMWF部分数据字段
Table 2. Some data fields of ECMWF.
序号 字段 注释 1 Longitude 经度(°) 2 Latitude 纬度(°) 3 Time 时间(h) 4 Pressure level 压强(mbar) 5 Temperature 温度(K) 6 Relative humidity 相对湿度(%) 7 Ozone mass mixing ratio 臭氧(kg/kg) 8 Geopotential 海拔参数(m2/s2)
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表 3 插值生成谱与仿真谱的均方根(单位: 10–10 W/(cm2·sr·cm1))
Table 3. Root mean square error between the generated spectrum by interpolation and the simulated spectrum (unit: 10–10 W/(cm2·sr·cm1)).
模型序号 天顶角/(°) 84.5 78.5 71.5 64.5 1 2.92 1.6 35.03 Nan 2 1.77 0.93 12.47 1.0 3 4.81 21.26 0.38 0.18 4 4.59 32.97 4.41 1.05 5 4.76 1.57 0.43 0.12 6 3.41 18.56 0.44 0.39
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[1] Hu Y Y, Xu L, Shen X C, Jin L, Xu H Y, Deng Y S, Liu J G, Liu W Q 2021 Appl. Opt. 60 9396
Google Scholar
[2] 焦洋, 徐亮, 高闽光, 金岭, 童晶晶, 李胜, 魏秀丽 2013 62 140705
Google Scholar
Jiao Y, Xu L, Gao M G, Jin L, Tong J J, Li S, Wei X L 2013 Acta Phys. Sin. 62 140705
Google Scholar
[3] Sabbah S, Rusch P, Gerhard J H, Harig R 2013 Proc. SPIE 8743 370
[4] Liou K N 2002 An Introduction to Atmospheric Radiation (Vol. 84) (Elsevier)
[5] Chen M H, Yuan C S, Wang L C 2015 Aerosol Air Qual. Res. 15 1110
Google Scholar
[6] Smith T E L, Wooster M J, Tattaris M, Griffith D W T 2011 Atmos. Meas. Tech. 4 97
Google Scholar
[7] Stremme W, Krueger A, Harig R, Grutter M 2012 Atmos. Meas. Tech. 5 275
Google Scholar
[8] Theriault J M, Puckrin E, Lavoie H, Turcotte C S, Bouffard F, Dube D 2004 Proc. SPIE 5584 100
Google Scholar
[9] Flanigan D F 1997 Appl. Opt. 36 7027
Google Scholar
[10] Evans W F, Puckrin E, McMaster D 2002 Proc. SPIE 4574 44
Google Scholar
[11] 高闽光, 刘文清, 张天舒, 刘诚, 刘建国, 魏庆农, 陆亦怀, 王亚萍, 朱军, 徐亮 2006 光谱学与光谱分析 26 47
Google Scholar
Gao M G, Liu W Q, Zhang T S, Liu C, Liu J G, Wei Q N, Lu Y H, Wang Y P, Zhu J, Xu L 2006 Spectrosc. Spec. Anal. 26 47
Google Scholar
[12] Harig R 2004 Appl. Opt. 43 4603
Google Scholar
[13] Harig R, Rusch P, Peters H, Gerhard J, Braun R, Sabbah S, Beecken J 2009 Proc. SPIE 7475 74750Z
[14] Li D C, Cui F X, Wang A J, Li Y Y, Wu J, Qiao Y L 2020 IEEE Trans. Geosci. Electron. 58 8649
Google Scholar
[15] 夏旻惠, 智协飞 2020 大气科学学报 43 652
Google Scholar
Xia M H, Zhi X F 2020 Trans. Atmos. Sci. 43 652
Google Scholar
[16] 崔方晓, 李大成, 吴军, 王安静, 李扬裕 2019 光学学报 39 406
Google Scholar
Cui F X, Li D C, Wu J, Wang A J, Li Y Y 2019 Acta Opt. Sin. 39 406
Google Scholar
[17] 迟晓铭, 肖安山, 朱亮, 贾润中, 李明骏, 高少华, 王国龙, 丁德武, 朱胜杰 2021 安全、健康和环境 21 1
Google Scholar
Chi X M, Xiao A S, Zhu L, Jia R Z, Li M J, Gao S H, Wang G L, Ding D W, Zhu S J 2021 Safety Health Environ. 21 1
Google Scholar
[18] Flanigan D F 1996 Appl. Opt. 35 6090
Google Scholar
[19] Berk A, Conforti P, Kennett R, et al. 2014 6th IEEE GRSS Workshop on Hyperspectral Image and Signal Processing Lausanne June 25, 2014 p1
[20] 冯明春, 徐亮, 刘文清, 刘建国, 高闽光, 魏秀丽 2016 65 014210
Google Scholar
Feng M C, Xu L, Liu W Q, Liu J G, Gao M G, Wei X L 2016 Acta Phys. Sin. 65 014210
Google Scholar
[21] Keller W, Borkowski A 2019 J. Geod. 93 1251
Google Scholar
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