Research and Experimental Verification of Atmospheric Polarization State in the Near-infrared Band
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摘要: 大气偏振态研究是开展偏振探测、偏振遥感、偏振成像等应用的前提和基础. 相较于可见光波段, 近红外波段大气偏振态研究相对滞后. 已有研究多以理论分析为主, 缺乏实验验证. 为此, 本文采用短波红外图像传感器、红外镜头、红外偏振片、红外滤光片等搭建了近红外波段大气偏振测量系统, 在晴朗天气条件下对全天空900~1700 nm近红外波段大气偏振态进行了测量. 结果表明, 在近红外波段大气呈现稳定偏振模式, 其中大气偏振角分布稳定性明显优于大气偏振度分布; 大气偏振模式与瑞利散射表征模型符合较好, 全天区83%的点位模型偏振角误差小于10°, 79%点位模型偏振度误差小于0.1, 依托瑞利散射表征模型可有效预测各方位大气偏振态. 此外, 全天区大气整体偏振度不高, 均值为0.13, 正午时段仅为0.1, 与以往文献理论推导和假设存在差异, 偏振滤光技术是否适用于白昼目标探测应结合具体应用深入研究.Abstract: The study of atmospheric polarization is the prerequisite and foundation for polarization detection, polarization remote sensing, polarization imaging and other applications. Compared with the visible wavelength, the research on atmospheric polarization state in the near-infrared wavelength is relatively lagging behind. The existing literature is dominated by theoretical analysis and lacks experimental verification. In this paper, a short-wave infrared image sensor, an infrared lens, an infrared polarizer, an infrared filter, etc. are used to build a near-infrared atmospheric polarization measurement system, and the polarization state of the atmosphere in the near-infrared band of 900~1700 nm is measured in the whole sky under the sunny weather conditions. The results show that the atmosphere shows stable polarization patterns in the near-infrared band, in which the stability of the atmospheric polarization angle distribution is obviously better than that of the atmospheric polarization degree distribution; the atmospheric polarization patterns are in good agreement with the Rayleigh scattering characterization model, with 83% of the points in the whole sky area having a polarization angle error of less than 10°, and 79% of the points having a polarization degree error of less than 0.1, which makes it possible to predict the atmospheric polarization states in various directions effectively by relying on the Rayleigh scattering characterization model. In addition, the overall polarization of the atmosphere in the whole daytime area is not high, with an average value of 0.13, and only 0.1 at noon, which is different from the theoretical derivation and assumption of the previous literature, and the applicability of polarization filtering technology to the detection of daytime targets should be investigated in depth in the context of specific applications.
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表 1 测量时段天气参数
Table 1. Weather parameters during measurement period
天气 日出时间 日中时间 日落时间 大气能见度 风速 晴朗无云 06:52 LT 12:37 LT 18:22 LT 9 km 西风三级 相对湿度 日间温度 AQI PM2.5 PM10 气压 31% 3~15℃ 73 (良) 37 μg·m–3 95 μg·m–3 1015 kPa 表 2 各测量组信息统计
Table 2. Information statistics of each measurement period
序号 时间(LT) 太阳高度角 太阳方位角 序号 时间(LT) 太阳高度角 太阳方位角 1 07:06-07:38 1°57′ ~8°12′ 99°50′ ~104°30′ 9 14:06-14:36 43°25′ ~39°52′ 210°49′ ~219°34′ 2 07:47-08:26 9°58′ ~17°31′ 105°51′ ~112°02′ 10 14:37-14:59 39°44′ ~38°02′ 219°51′ ~222°10′ 3 08:34-09:04 19°02′ ~24°34′ 113°23′ ~118°44′ 11 15:05-15:27 35°47′ ~32°21′ 227°05′ ~232°12′ 4 09:12-09:43 26°00′ ~31°19′ 120°15′ ~126°35′ 12 15:34-15:58 31°12′ ~27°06′ 233°44′ ~238°41′ 5 10:04-10:37 34°41′ ~39°26′ 131°20′ ~139°41′ 13 16:13-16:35 24°26′ ~20°24′ 241°34′ ~245°32′ 6 10:49-11:17 40°59′ ~44°06′ 143°01′ ~151°26′ 14 16:42-17:04 19°05′ ~14°54′ 246°44′ ~250°22′ 7 11:27-11:52 45°02′ ~46°54′ 154°40′ ~163°11′ 15 17:14-17:37 12°58′ ~8°27′ 251°58′ ~255°29′ 8 12:00-12:29 47°20′ ~48°15′ 166°02′ ~176°40′ 表 3 各时段全天区大气偏振角实测值
Table 3. Measured values of polarization angle at each period
序号 高度角/(°) 方位角/(°) 0 30 60 90 120 150 180 210 240 270 300 330 1 20 5 –5 –20 –67 39 13 1 –8 –23 –65 43 17 40 9 –9 –33 –78 60 26 4 –13 –39 –79 65 31 60 11 –13 –34 –84 75 32 7 –16 –41 –83 78 41 80 11 –14 –44 –80 75 38 10 –16 –48 –80 75 45 2 20 14 6 –5 –30 39 6 –3 –11 –26 –60 63 29 40 17 1 –21 –79 65 24 2 –14 –39 –73 75 43 60 18 –6 –31 –82 80 32 10 –15 –42 –82 86 52 80 24 –13 –30 –82 88 56 19 –14 –36 –90 86 52 3 20 25 16 9 0 0 –7 –13 –16 –30 –58 82 47 40 30 14 –4 –11 76 22 –2 –16 –37 –67 90 57 60 30 8 –18 –51 87 33 16 –15 –39 –70 90 61 80 31 0 –28 –69 89 44 24 –9 –29 –70 89 61 4 20 36 24 18 0 83 –20 –19 –19 –32 –56 –89 59 40 39 23 6 –25 90 16 –4 –21 –36 –63 –88 67 60 37 22 –10 –25 –83 9 19 –18 –31 –65 –90 73 80 33 18 –19 –51 –85 65 30 0 –27 –57 88 78 5 20 49 36 30 31 90 12 –29 –29 –38 –46 –75 84 40 54 31 22 14 0 11 –45 –23 –30 –55 –86 87 60 56 32 11 –17 –71 82 48 –14 –28 –50 –83 83 80 29 24 –9 –57 –85 88 35 15 –23 –22 –78 89 6 20 63 46 37 37 81 –78 –36 –29 –38 –46 –72 85 40 72 46 32 25 12 –39 –45 –24 –30 –52 –86 87 60 73 32 23 –55 –29 0 25 –3 –25 –29 –78 90 80 65 36 11 –20 –53 –89 34 21 –9 –29 –65 –89 7 20 78 56 45 41 48 25 –56 –34 –35 –50 –66 –86 40 80 56 33 30 –61 0 –31 –25 –30 –40 –71 –87 7 60 84 51 33 13 –13 0 –14 5 –20 –28 –61 –87 80 86 41 20 –19 4 –81 65 33 3 –27 –47 –85 8 20 84 65 51 43 47 74 –65 –43 –38 –47 –59 –77 40 90 70 46 36 32 90 0 –28 –29 –34 –59 –87 60 89 66 34 23 25 –31 90 11 –13 –30 –41 –84 80 89 60 34 7 –23 –53 84 45 19 –13 –33 –79 9 20 –68 –90 69 52 41 39 45 25 –25 –30 –33 –49 40 –72 –88 75 51 28 25 19 0 –27 –21 –31 –43 60 –63 –87 81 33 28 7 –25 –6 5 9 –23 –27 80 –25 –87 90 27 28 –25 –45 –79 65 32 0 –28 10 20 –58 –82 73 53 40 35 37 65 –25 –33 –28 –40 40 –60 –84 80 55 33 24 74 0 0 –13 –26 –36 60 –57 –87 81 48 31 11 –20 –15 7 20 –21 –26 80 –28 –89 90 25 28 –25 –25 –89 87 37 13 –21 11 20 –51 –76 77 53 39 31 31 34 23 –30 –26 –32 40 –52 –75 90 90 55 28 23 –16 0 –13 –18 –28 60 –47 –78 90 57 31 15 –16 20 81 28 –3 –25 80 –23 –89 89 37 27 –28 –27 –88 74 22 31 –23 12 20 –43 –65 83 55 37 28 24 20 –58 –25 –23 –25 40 –45 –74 90 59 38 23 5 57 90 11 –14 –23 60 –41 –75 90 64 31 22 –22 –65 83 37 14 –19 80 –27 –76 88 60 31 3 –27 –65 90 17 26 –18 13 20 –29 –54 –88 57 34 23 19 0 0 –14 –16 –16 40 –32 –58 –89 64 38 20 2 –25 –16 30 3 –15 60 –32 –61 –90 71 39 20 –27 –36 –84 29 29 –9 80 –26 –57 –90 73 30 9 –22 –53 –88 65 31 2 14 20 –21 –45 27 58 31 19 15 18 0 0 –7 –10 40 –23 –51 –86 67 38 17 0 –23 –88 25 19 –7 60 –24 –53 –90 80 40 16 –27 –24 –83 65 28 0 80 –22 –52 –90 77 37 13 –24 –36 –89 80 30 8 15 20 –13 –32 –69 60 27 14 6 0 0 0 3 –5 40 –16 –43 –78 69 36 14 –2 –25 –61 7 22 0 60 –17 –46 –87 80 42 13 –19 –25 –89 79 30 8 80 –15 –45 –88 85 45 14 –16 –36 –85 56 36 12 表 4 全天各时段全天区大气偏振度实测值
Table 4. Measured values of polarization degree at each period of the whole day
序号 高度角/(°) 方位角/(°) 0 30 60 90 120 150 180 210 240 270 300 330 1 20 0.37 0.19 0.05 0.02 0.03 0.14 0.36 0.33 0.13 0.02 0.06 0.22 40 0.36 0.17 0.07 0.05 0.04 0.14 0.34 0.36 0.2 0.14 0.15 0.26 60 0.32 0.18 0.1 0.11 0.07 0.16 0.3 0.34 0.21 0.29 0.24 0.27 80 0.29 0.23 0.15 0.15 0.19 0.19 0.28 0.31 0.26 0.25 0.2 0.24 2 20 0.32 0.17 0.04 0.01 0.01 0.08 0.26 0.32 0.17 0.05 0.06 0.17 40 0.31 0.11 0.06 0.02 0.02 0.08 0.17 0.34 0.22 0.17 0.17 0.23 60 0.27 0.1 0.09 0.06 0.06 0.11 0.15 0.31 0.26 0.23 0.27 0.26 80 0.19 0.11 0.13 0.11 0.15 0.11 0.15 0.18 0.2 0.13 0.26 0.14 3 20 0.26 0.19 0.06 0 0 0.05 0.16 0.31 0.18 0.08 0.05 0.15 40 0.25 0.14 0.05 0.03 0.02 0.05 0.08 0.29 0.24 0.21 0.14 0.23 60 0.22 0.1 0.08 0.03 0.05 0.07 0.08 0.18 0.24 0.29 0.2 0.24 80 0.15 0.07 0.11 0.06 0.12 0.05 0.12 0.09 0.16 0.11 0.23 0.09 4 20 0.21 0.2 0.08 0.04 0 0.03 0.11 0.27 0.21 0.11 0.09 0.15 40 0.22 0.16 0.04 0.03 0 0.02 0.05 0.2 0.24 0.2 0.24 0.22 60 0.18 0.11 0.05 0.04 0.05 0.04 0.06 0.1 0.21 0.22 0.26 0.22 80 0.13 0.06 0.09 0.04 0.1 0.03 0.09 0.03 0.13 0.05 0.18 0.1 5 20 0.19 0.2 0.12 0.03 0 0.04 0.08 0.2 0.22 0.16 0.15 0.17 40 0.22 0.17 0.07 0.04 0.01 0 0.04 0.12 0.31 0.12 0.21 0.21 60 0.1 0.12 0.05 0.03 0.04 0.04 0.04 0.04 0.13 0.11 0.22 0.25 80 0.06 0.08 0.05 0.06 0.06 0.06 0.07 0.05 0.07 0.1 0.09 0.11 6 20 0.19 0.2 0.13 0.06 0.03 0.02 0.06 0.13 0.2 0.13 0.17 0.17 40 0.18 0.14 0.09 0.03 0.03 0 0.03 0.08 0.15 0.21 0.14 0.28 60 0.11 0.1 0.06 0.04 0.03 0.01 0.03 0.04 0.1 0.1 0.12 0.17 80 0.03 0.06 0.03 0.05 0.03 0.06 0.05 0.05 0.04 0.1 0.02 0.1 7 20 0.15 0.19 0.15 0.08 0.02 0.03 0.03 0.1 0.18 0.18 0.16 0.18 40 0.23 0.16 0.11 0.05 0.03 0 0.01 0.06 0.12 0.15 0.12 0.26 60 0.16 0.07 0.07 0.04 0.03 0 0.01 0.02 0.09 0.12 0.08 0.2 80 0.08 0.05 0.05 0.04 0.04 0.04 0.03 0.05 0.04 0.07 0.04 0.1 8 20 0.19 0.21 0.2 0.11 0.05 0.03 0.02 0.08 0.15 0.2 0.19 0.21 40 0.25 0.15 0.12 0.09 0.06 0 0 0.03 0.09 0.14 0.13 0.22 60 0.19 0.08 0.09 0.05 0.04 0.01 0 0.03 0.05 0.09 0.07 0.14 80 0.1 0.03 0.05 0.03 0.06 0.03 0.04 0.03 0.05 0.05 0.07 0.05 9 20 0.15 0.15 0.17 0.18 0.13 0.07 0.02 0.03 0.04 0.11 0.17 0.17 40 0.17 0.25 0.23 0.15 0.12 0.05 0.04 0 0.25 0.06 0.12 0.18 9 60 0.08 0.24 0.15 0.09 0.08 0.03 0.05 0.02 0.03 0.03 0.07 0.13 80 0.05 0.12 0.07 0.08 0.05 0.05 0.04 0.07 0.03 0.05 0.03 0.09 10 20 0.16 0.15 0.16 0.19 0.18 0.1 0.04 0.02 0.03 0.09 0.18 0.19 40 0.23 0.25 0.25 0.22 0.15 0.07 0.04 0 0.01 0.04 0.12 0.2 60 0.11 0.23 0.24 0.09 0.1 0.03 0.03 0.02 0.03 0.04 0.05 0.15 80 0.08 0.13 0.1 0.09 0.07 0.05 0.06 0.07 0.05 0.08 0.04 0.09 11 20 0.16 0.15 0.15 0.18 0.22 0.14 0.05 0.02 0.02 0.07 0.17 0.22 40 0.23 0.23 0.17 0.21 0.2 0.17 0.07 0.01 0 0.05 0.1 0.22 60 0.17 0.27 0.2 0.15 0.15 0.04 0.05 0.04 0.03 0.05 0.03 0.16 80 0.11 0.11 0.16 0.07 0.1 0.05 0.08 0.06 0.08 0.09 0.07 0.09 12 20 0.16 0.12 0.13 0.16 0.22 0.17 0.06 0.03 0.02 0.05 0.15 0.23 40 0.22 0.2 0.18 0.19 0.22 0.12 0.02 0.02 0 0.02 0.06 0.23 60 0.2 0.22 0.25 0.24 0.18 0.07 0.05 0.03 0.05 0.06 0.05 0.15 80 0.14 0.09 0.19 0.05 0.12 0.03 0.09 0.04 0.09 0.07 0.1 0.06 13 20 0.2 0.1 0.09 0.12 0.22 0.23 0.08 0.04 0 0.02 0.09 0.25 40 0.25 0.15 0.18 0.21 0.25 0.18 0.04 0.04 0.01 0.03 0.04 0.22 60 0.25 0.19 0.09 0.19 0.22 0.12 0.07 0.04 0.07 0.06 0.08 0.12 80 0.18 0.1 0.19 0.13 0.17 0.07 0.13 0.04 0.13 0.03 0.13 0.07 14 20 0.24 0.11 0.07 0.1 0.21 0.28 0.09 0.03 0 0.02 0.07 0.28 40 0.28 0.19 0.17 0.17 0.25 0.26 0.03 0.06 0.03 0.04 0.07 0.2 60 0.29 0.24 0.26 0.17 0.26 0.2 0.09 0.07 0.08 0.04 0.11 0.13 80 0.27 0.2 0.2 0.21 0.19 0.15 0.14 0.09 0.15 0.08 0.17 0.14 15 20 0.29 0.13 0.05 0.08 0.19 0.33 0.12 0.04 0 0.02 0.07 0.28 40 0.33 0.2 0.16 0.17 0.26 0.34 0.08 0.05 0.04 0.04 0.08 0.22 60 0.35 0.25 0.26 0.25 0.28 0.33 0.11 0.1 0.09 0.05 0.14 0.23 80 0.32 0.27 0.29 0.26 0.26 0.28 0.26 0.15 0.2 0.15 0.19 0.28 表 5 07:06 LT-07:38 LT时段瑞利散射模型误差
Table 5. Error of Rayleigh scattering model during 07:06 LT-07:38 LT
高度角/(°) 方位角/(°) 0 30 60 90 120 150 180 210 240 270 300 330 20 $\psi $ 0.0 0.1 –0.2 –6.4 0.3 0.0 0.0 2.0 1.9 –0.1 2.1 3.4 P 0.0 –0.1 –0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40 $\psi $ 1.6 0.0 –0.1 –6.2 0.0 0.2 0.2 2.7 0.0 –5.3 –0.1 3.5 P 0.0 –0.2 –0.1 0.0 –0.1 –0.1 0.0 0.0 0.0 0.0 0.0 0.0 60 $\psi $ 2.9 –1.2 4.6 –5.5 –4.4 4.9 1.6 1.1 4.1 –7.2 –6.0 1.2 P –0.1 –0.2 –0.2 –0.1 –0.1 –0.1 –0.1 0.0 –0.1 0.0 0.0 –0.1 80 $\psi $ 3.5 0.0 0.3 –4.6 –1.2 4.6 2.6 0.6 –1.6 –3.9 –0.4 0.1 P –0.1 –0.1 –0.2 –0.2 –0.1 –0.1 –0.1 –0.1 –0.1 –0.1 –0.2 –0.1 表 6 偏振度及偏振角的误差统计(%)
Table 6. Error statistics of polarization degree and polarization angle (%)
误差大小 序号 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 平均 |$\psi $|<5° 88 73 83 73 50 67 54 65 60 60 50 67 75 56 65 66 |$\psi $|<10° 100 90 92 92 73 83 81 83 73 75 69 85 90 79 81 83 |$\psi $|<15° 100 94 98 96 81 88 88 92 81 83 73 92 92 90 90 89 |$\psi $|>15° 0 6 2 4 19 13 13 8 19 17 27 8 8 10 10 11 | P |<0.05 44 44 44 38 46 52 56 56 58 63 58 53 54 50 48 49 | P |<0.1 65 71 79 81 88 77 85 90 90 96 94 83 83 25 83 79 | P |<0.15 88 90 96 98 94 100 98 100 98 100 100 94 98 98 92 96 | P |>0.15 13 10 4 2 6 0 2 0 2 0 0 6 2 2 8 4 -
[1] POMOZI I, HORVÁTH G, WEHNER R. How the clear-sky angle of polarization pattern continues underneath clouds: full-sky measurements and implications for animal orientation[J]. Journal of Experimental Biology, 2001, 204: 2933-2942 doi: 10.1242/jeb.204.17.2933 [2] 罗海波, 张俊超, 盖兴琴, 等. 偏振成像技术的发展现状与展望(特邀)[J]. 红外与激光工程, 2022, 51(1): 20210987LUO Haibo, ZHANG Junchao, GAI Xingqin, et al. The development status and prospects of polarization imaging technology (invited)[J]. Infrared and Laser Engineering, 2022, 51(1): 20210987 [3] ZHAO H J, XU W J, ZHANG Y, et al. Polarization patterns under different sky conditions and a navigation method based on the symmetry of the AOP map of skylight[J]. Optics Express, 2018, 26(22): 28589-28603 doi: 10.1364/OE.26.028589 [4] 范之国, 陈曼丽, 王波, 等. 基于大气偏振模式的三维姿态信息获取[J]. 光学精密工程, 2016, 24(6): 1248-1256 doi: 10.3788/OPE.20162406.1248FAN Zhiguo, CHEN Manli, WANG Bo, et al. Three-dimensional attitude information obtained by the skylight polarization pattern[J]. Optics and Precision Engineering, 2016, 24(6): 1248-1256 doi: 10.3788/OPE.20162406.1248 [5] 程前, 高欣健, 高隽, 等. 基于邻域约束的大气偏振模式生成网络[J]. 光电工程, 2022, 49(6): 210423CHENG Qian, GAO Xinjian, GAO Jun, et al. A generative method for atmospheric polarization modelling based on neighborhood constraint[J]. Opto-Electronic Engineering, 2022, 49(6): 210423 [6] ROGALSKI A. Next decade in infrared detectors[C]//Proceedings Volume 10433, Electro-Optical and Infrared Systems: Technology and Applications XIV. Warsaw, Poland: SPIE, 2017: 128-152 [7] 褚君浩, 胡志高. 红外偏振效应和偏振遥感研究进展[J]. 遥感学报, 2018, 22(6): 926-934CHU Junhao, HU Zhigao. Recent progress on infrared polarization effect and polarization remote applications[J]. Journal of Remote Sensing, 2018, 22(6): 926-934 [8] 张辉, 周向东, 汪新梅, 等. 近地空间全天时星敏感器技术现状及发展综述[J]. 航空学报, 2020, 41(8): 623719ZHANG Hui, ZHOU Xiangdong, WANG Xinmei, et al. Survey of technology status and development of all-time star sensors in near-earth space[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(8): 623719 [9] 邹晓风, 王霞, 金伟其, 等. 大气对红外偏振成像系统的影响[J]. 红外与激光工程, 2012, 41(2): 304-308ZOU Xiaofeng, WANG Xia, JIN Weiqi, et al. Atmospheric effects on infrared polarization imaging system[J]. Infrared and Laser Engineering, 2012, 41(2): 304-308 [10] 韩礼, 蔡洪. 白天大气层内星敏感器观星能力分析[J]. 飞行器测控学报, 2015, 34(3): 291-297HAN Li, CAI Hong. Analysis of stargazing capability of star sensors from the atmosphere in daytime[J]. Journal of Spacecraft TT& C Technology, 2015, 34(3): 291-297 [11] 孙晓兵, 洪津, 骆冬根, 等. 白天天体光谱偏振成像技术及实验研究[J]. 大气与环境光学学报, 2007, 2(6): 499-503 doi: 10.3969/j.issn.1673-6141.2007.06.014SUN Xiaobing, HONG Jin, LUO Donggen, et al. Research on the technique of spectro-polarimetric imaging of celestial bodies and its experiments in the daytime[J]. Journal of Atmospheric and Environmental Optics, 2007, 2(6): 499-503 doi: 10.3969/j.issn.1673-6141.2007.06.014 [12] 张锐进, 鲜浩, 饶长辉, 等. 偏振滤波白天抑制天光背景作用分析[J]. 光学学报, 2012, 32(5): 0501003 doi: 10.3788/AOS201232.0501003ZHANG Ruijin, XIAN Hao, RAO Changhui, et al. Study on effect of polarization filter for suppressing sky background light in daytime[J]. Acta Optica Sinica, 2012, 32(5): 0501003 doi: 10.3788/AOS201232.0501003 [13] 孙学金, 李浩, 唐丽萍. 可见光和红外波段大气体散射偏振度特性研究[J]. 光学学报, 2011, 31(5): 0501001 doi: 10.3788/AOS201131.0501001SUN Xuejin, LI Hao, TANG Liping. Study on atmosphere volume scattering polarization degree characteristics in visible and infrared band[J]. Acta Optica Sinica, 2011, 31(5): 0501001 doi: 10.3788/AOS201131.0501001 [14] 关桂霞, 晏磊, 陈家斌, 等. 天空偏振光分布的实验研究[J]. 兵工学报, 2011, 32(4): 459-463GUAN Guixia, YAN Lei, CHEN Jiabin, et al. Research on sky polarized light distribution[J]. Acta Armamentarii, 2011, 32(4): 459-463 [15] ESHELMAN L M, SHAW J A. The VIS–SWIR spectrum of skylight polarization[J]. Applied Optics, 2018, 57(27): 7974-7986 doi: 10.1364/AO.57.007974 [16] MISHCHENKO M, TRAVIS L, LACIS A. Radiation transfer in the atmosphere | Scattering[M]//Encyclopedia of Atmospheric Sciences. 2nd ed. London: Academic Press, 2015: 27-36 [17] GAŁAJ T, PIETRUSIAK F, GALEWSKI M, et al. Hybrid integration method for sunlight atmospheric scattering[J]. IEEE Access, 2021, 9: 40681-40694 doi: 10.1109/ACCESS.2021.3063279 [18] GATES D M. Spectral distribution of solar radiation at the earth’s surface: The spectral quality of sunlight, skylight, and global radiation varies with atmospheric conditions[J]. Science, 1966, 151(3710): 523-529 doi: 10.1126/science.151.3710.523 [19] PRADHAN R K. Does Rayleigh scattering explain the Blueness of Sky[J]. Science Horizon, 2015, 28 -31 [20] YAN L, LI Y F, CHEN W, et al. Temporal and spatial characteristics of the global skylight polarization vector field[J]. Remote Sensing, 2022, 14(9): 2193 doi: 10.3390/rs14092193 [21] BUCHOLTZ A. Rayleigh-scattering calculations for the terrestrial atmosphere[J]. Applied Optics, 1995, 34(15): 2765-2773 doi: 10.1364/AO.34.002765 [22] BERRY M V, DENNIS M R, LEE R L. Polarization singularities in the clear sky[J]. New Journal of Physics, 2004, 6: 162 doi: 10.1088/1367-2630/6/1/162 [23] HANNAY J H. Polarization of sky light from a canopy atmosphere[J]. New Journal of Physics, 2004, 6: 197 doi: 10.1088/1367-2630/6/1/197 [24] SUHAI B, HORVÁTH G. How well does the Rayleigh model describe the E-vector distribution of skylight in clear and cloudy conditions? A full-sky polarimetric study[J]. Journal of the Optical Society of America A, 2004, 21(9): 1669-1676 doi: 10.1364/JOSAA.21.001669 [25] 齐淑霞, 刘圣, 李鹏, 等. 光场偏振分布测量方法及其应用(特邀)[J]. 光子学报, 2022, 51(8): 0851502 doi: 10.3788/gzxb20225108.0851502QI Shuxia, LIU Sheng, LI Peng, et al. Measurement methods on polarization distribution of light fields and their applications (invited)[J]. Acta Photonica Sinica, 2022, 51(8): 0851502 doi: 10.3788/gzxb20225108.0851502 [26] 张然, 蔡弘, 关乐, 等. 多云天气天空偏振定向方法[J]. 光学精密工程, 2021, 29(7): 1499-1510 doi: 10.37188/OPE.20212907.1499ZHANG Ran, CAI Hong, GUAN Le, et al. Polarization orientation method for cloudy sky[J]. Optical Precision Engineering, 2021, 29(7): 1499-1510 doi: 10.37188/OPE.20212907.1499 [27] MIYAZAKI D, AMMAR M, KAWAKAMI R, et al. Estimating sunlight polarization using a fish-eye lens[J]. IPSJ Transactions on Computer Vision and Applications, 2009, 1: 288-300 doi: 10.2197/ipsjtcva.1.288 [28] GÁL J, HORVÁTH G, MEYER-ROCHOW V B, et al. Polarization patterns of the summer sky and its neutral points measured by full–sky imaging polarimetry in Finnish Lapland north of the Arctic Circle[J]. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001, 457(2010): 1385-1399 doi: 10.1098/rspa.2000.0726 [29] FU Q, ZHAO F, CHEN H Y, et al. Space object and background polarization models and detectability analysis[J]. Applied Sciences, 2022, 12(21): 10714 doi: 10.3390/app122110714 [30] WANG B W, WANG H Y, MAO X N, et al. Optical system design method of near-earth short-wave infrared star sensor[J]. IEEE Sensors Journal, 2022, 22(22): 22169-22178 doi: 10.1109/JSEN.2022.3210027 -
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