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为了解决天空偏振光模式的描述问题,从经典的瑞利散射模型出发,考虑大气粒子尤其是气溶胶粒子的多次散射特性,构建了一种天空偏振光模式的解析模型. 首先分析大气分子的瑞利散射,并结合Perez光强分布模型描述光强分布,而后考虑二次散射因素,分析不同尺度不同组分典型粒子的散射相位函数,根据其角度分布特征,解决二次散射积分的求解问题,最终得到本模型. 仿真实验表明,与瑞利散射模型相比,本模型能够解决实际天空中存在的中性点的描述问题. 与晴朗天气下不同时刻实际测量结果之间的对比进一步说明,本模型不仅可以定性地描述实际天空中偏振光模式的角度变化趋势、中性点以及对称性等重要特征,而且具体数值与实际分布之间的符合程度要优于单次散射模型,其中偏振度的相似度最高可以达到75%左右.
[1] Kinsell L C 1988 A. Deepak Pub
[2] Können G P 1985 CUP Archive
[3] Horváth G, Varjú D 2004 Springer
[4] Horváth G, Wehner R 1999 Journal of Comparative Physiology A 184 1
[5] Lambrinos D, Möller R, Labhart T, Pfeifer R, Wehner R 2000 Robotics and Autonomous Systems 30 39
[6] Yan L, Guan G X, Cheng J B, Wu T X, Shao X 2009 Acta Scientiarum Naturalium Universitatis Pekinensis. 45 616 (in Chinese) [晏磊, 关桂霞, 陈家斌, 吴太夏, 邵轩 2009 北京大学学报(自然科学版) 45 616]
[7] Pust N J 2007 Ph. D. Dissertation (Montana State University Bozeman)
[8] Cheng T H, Gu X F, Cheng L F, Yu T, Tian G L 2008 Acta Phys. Sin. 57 5323 (in Chinese) [程天海, 顾行发, 陈良富, 余涛, 田国良 2008 物理学报 57 5323]
[9] Jian X H, Zhang C M, Zhu B H, Zhao B C, Du J 2008 Acta Phys. Sin. 57 7565 (in Chinese) [简小华, 张淳民, 祝宝辉, 赵葆常, 杜娟 2008 物理学报 57 7565]
[10] Han Y, Wang T J, Rao R Z, Wang Y J 2008 Acta Phys. Sin. 57 7396 (in Chinese) [韩永, 王体健, 饶瑞中, 王英俭 2008 物理学报 57 7396]
[11] Wang L, Xu Zh H, Feng H J, Wang Y J 2008 Acta Phys. Sin. 57 2694 (in Chinese)[王凌, 徐之海, 冯华君 2008 物理学报 57 2694]
[12] Wang Yue, Wu Qun, Wu Yu-Ming, He Xun-Jun, Li-Le-Wei 2012 Chin. Phys. B 21 014212
[13] Ji Xiao-Ling, Pu Zheng-Cai 2010 Chin. Phys. B 19 029201
[14] Chandrasekhar S 1960 Courier Dover Publications
[15] Zhai P W 2006 Ph. D. Dissertation (Texas A&M University)
[16] Hansen J E, Travis L D 1974 Space Science Reviews 16 527
[17] Sun Bin, Wang Han, Sun Xiao-Bing, Hong Jin, Zhang Yun-Jie 2012 Chin. Phys. B 21 129501
[18] Berry M V, Dennis M R, Lee L R 2004 New Journal of Physics 6 162
[19] Tilstra LG, Schutgens NAJ, Stammes P 2003 KNMI
[20] Wilkie A, Ulbricht C, Tobler RF, Zotti G, Purgathofer W 2004 Rendering Techniques 2 387
[21] Perez R, Seals R, Michalsky J 1993 Solar Energy 50 235
[22] Hess M, Koepke P, Schult I 1998 Bulletin of the American Meteorological Society 79 831
[23] Huang Y B, Huang H L, Hang Y, Rao R Z 2007 Journal of Atmospheric and Environmental Optics 2 423 (in Chinese) [黄印博, 黄红莲, 韩永, 饶瑞中 2007 大气与环境光学学报 2 423]
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[1] Kinsell L C 1988 A. Deepak Pub
[2] Können G P 1985 CUP Archive
[3] Horváth G, Varjú D 2004 Springer
[4] Horváth G, Wehner R 1999 Journal of Comparative Physiology A 184 1
[5] Lambrinos D, Möller R, Labhart T, Pfeifer R, Wehner R 2000 Robotics and Autonomous Systems 30 39
[6] Yan L, Guan G X, Cheng J B, Wu T X, Shao X 2009 Acta Scientiarum Naturalium Universitatis Pekinensis. 45 616 (in Chinese) [晏磊, 关桂霞, 陈家斌, 吴太夏, 邵轩 2009 北京大学学报(自然科学版) 45 616]
[7] Pust N J 2007 Ph. D. Dissertation (Montana State University Bozeman)
[8] Cheng T H, Gu X F, Cheng L F, Yu T, Tian G L 2008 Acta Phys. Sin. 57 5323 (in Chinese) [程天海, 顾行发, 陈良富, 余涛, 田国良 2008 物理学报 57 5323]
[9] Jian X H, Zhang C M, Zhu B H, Zhao B C, Du J 2008 Acta Phys. Sin. 57 7565 (in Chinese) [简小华, 张淳民, 祝宝辉, 赵葆常, 杜娟 2008 物理学报 57 7565]
[10] Han Y, Wang T J, Rao R Z, Wang Y J 2008 Acta Phys. Sin. 57 7396 (in Chinese) [韩永, 王体健, 饶瑞中, 王英俭 2008 物理学报 57 7396]
[11] Wang L, Xu Zh H, Feng H J, Wang Y J 2008 Acta Phys. Sin. 57 2694 (in Chinese)[王凌, 徐之海, 冯华君 2008 物理学报 57 2694]
[12] Wang Yue, Wu Qun, Wu Yu-Ming, He Xun-Jun, Li-Le-Wei 2012 Chin. Phys. B 21 014212
[13] Ji Xiao-Ling, Pu Zheng-Cai 2010 Chin. Phys. B 19 029201
[14] Chandrasekhar S 1960 Courier Dover Publications
[15] Zhai P W 2006 Ph. D. Dissertation (Texas A&M University)
[16] Hansen J E, Travis L D 1974 Space Science Reviews 16 527
[17] Sun Bin, Wang Han, Sun Xiao-Bing, Hong Jin, Zhang Yun-Jie 2012 Chin. Phys. B 21 129501
[18] Berry M V, Dennis M R, Lee L R 2004 New Journal of Physics 6 162
[19] Tilstra LG, Schutgens NAJ, Stammes P 2003 KNMI
[20] Wilkie A, Ulbricht C, Tobler RF, Zotti G, Purgathofer W 2004 Rendering Techniques 2 387
[21] Perez R, Seals R, Michalsky J 1993 Solar Energy 50 235
[22] Hess M, Koepke P, Schult I 1998 Bulletin of the American Meteorological Society 79 831
[23] Huang Y B, Huang H L, Hang Y, Rao R Z 2007 Journal of Atmospheric and Environmental Optics 2 423 (in Chinese) [黄印博, 黄红莲, 韩永, 饶瑞中 2007 大气与环境光学学报 2 423]
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