一种计算非均质大气双向反射比的新方法

张峰; 马雷鸣; 沈钟平; 张华; 孙靖; 杨寅

doi:10.7498/aps.61.184212

摘要

在卫星遥感中, 利用单次散射近似获得双向反射比与光学厚度之间的关系为卫星反演气溶胶光学厚度奠定基础. 本文利用渐近积分理论, 在不需要人为垂直分层的情况下, 基于单次散射近似, 提出了一种计算非均质大气的双向反射比的新方法. 结果表明: 新方法得到的解析表达式有非常高的精度, 且该解析解也有助于我们分析辐射传输过程的一些重要特征.

关键词:

In satellite remote sensing, the relationship between bidirectional reflectance and optical depth is the foundation of the retrieval of the aerosols' optical depth. According to asymptotic integral theory, a new approach to dealing with bidirectional reflectance of atmospheric without artificial stratification in the single-scattering approximation. The results show that the accuracy of analytical solution obtained by the new method is high. We formulate the analytical bidirectional reflectance with the vertical continuity of the inherent optical properties. Moreover, analytical solution is relatively easy to explain some of most import features for radiative transfer process.

Keywords:

作者及机构信息

1.
中国气象科学研究院, 北京 100081;

2.
中国科学院研究生院, 北京 100049;

3.
中国气象局上海台风研究所, 上海 200030;

4.
上海市气候中心, 上海 200030;

5.
中国气象局国家气候中心, 北京 100081;

6.
中国气象局国家气象中心, 北京 100081

基金项目: 国家重点基础研究发展计划(批准号: 2009CB421500);公益性行业(气象)科研专项基金(批准号: GYHY201206006);中国科学院战略性先导科技专项(批准号: XDA05090204)和国家自然科学基金(批准号: 41075056)资助的课题.

Authors and contacts

1.
Chinese Academy of Meteorological Sciences, Beijing 100081, China;

2.
Graduate University of Chinese Academy of Sciences, Beijing 100049, China;

3.
Shanghai Typhoon Institute, China Meteorological Administration, Shanghai 200030, China;

4.
Shanghai Climate Center, Shanghai 200030, China;

5.
National Climate Center, China Meteorological Administration, Beijing 100081, China;

6.
National Meteorological Center, China Meteorological Administration, Beijing 100081, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2009CB421500), the Special Scientific Research Fund of Meteorological Public Welfare Profession of China (Grant No. GYHY201206006), CAS Pilot Special Project (Grant No. XDA05090204) and the National Natural Science Foundation of China (Grant No. 41075056).

参考文献

[1]	Liang Z C, Jin Y Q 2002 Acta Phys. Sin. 51 2239 (in Chinese) [梁子长, 金亚秋 2002 物理学报 51 2239]
[2]	Liang Z C, Jin Y Q 2003 Acta Phys. Sin. 52 247 (in Chinese) [梁子长, 金亚秋 2002 物理学报 52 247]
[3]	Duan M Z, Guo X 2009 Acta Phys. Sin. 58 1353 (in Chinese) [段民征, 郭霞 2009 物理学报 58 1353]
[4]	Zhang F, Zhang H, Shen Z P, Wei X D 2011 Acta Phys. Sin. 60 010702 (in Chinese) [张峰, 张华, 沈钟平, 卫晓东 2011 物理学报 60 010702]
[5]	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]
[6]	Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅, 杨经国 2007 物理学报 56 6132]
[7]	Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese) [杜华栋, 黄思训, 石汉青 2008 物理学报 57 7685]
[8]	Shen Z P, Zhang H 2009 Acta Energiae Sol. Sin. 30 1389 (in Chinese) [沈钟平, 张华 2009 太阳能学报 30 1389]
[9]	Qiu J 1999 J. Atmos. Sci. 56 2955
[10]	Duan M, Min Q, Lu D 2010 Adv. Atmos. Sci. 27 891
[11]	Duan M, Min Q 2005 J. Quant. Spectrosc. Radiat. 95 21
[12]	Lu P, H Zhang, J Li 2009 J. Quant. Spectrosc. Radiat. 110 129
[13]	Zhang H, Zhang F, Fu Q, Shen Z, Lu P 2010 J. Atmos. Sci. 67 3238
[14]	Liu Q, Weng F 2006 Geophys. Res. Lett. 33 L22811 doi:10.1029/ 2006GL027543
[15]	Hovenier J W, Stam D M 2007 J. Quant. Spectro. Radia. Trans. 107 83
[16]	Liou K N 2002 An Introduction to Atmospheric Radiation (2nd Ed.) (California: Academic Press) pp31-32, 105, 261, 272
[17]	C M Bender, S A Orsazag 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill Press) p258

施引文献

[1]	Liang Z C, Jin Y Q 2002 Acta Phys. Sin. 51 2239 (in Chinese) [梁子长, 金亚秋 2002 物理学报 51 2239]
[2]	Liang Z C, Jin Y Q 2003 Acta Phys. Sin. 52 247 (in Chinese) [梁子长, 金亚秋 2002 物理学报 52 247]
[3]	Duan M Z, Guo X 2009 Acta Phys. Sin. 58 1353 (in Chinese) [段民征, 郭霞 2009 物理学报 58 1353]
[4]	Zhang F, Zhang H, Shen Z P, Wei X D 2011 Acta Phys. Sin. 60 010702 (in Chinese) [张峰, 张华, 沈钟平, 卫晓东 2011 物理学报 60 010702]
[5]	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]
[6]	Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅, 杨经国 2007 物理学报 56 6132]
[7]	Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese) [杜华栋, 黄思训, 石汉青 2008 物理学报 57 7685]
[8]	Shen Z P, Zhang H 2009 Acta Energiae Sol. Sin. 30 1389 (in Chinese) [沈钟平, 张华 2009 太阳能学报 30 1389]
[9]	Qiu J 1999 J. Atmos. Sci. 56 2955
[10]	Duan M, Min Q, Lu D 2010 Adv. Atmos. Sci. 27 891
[11]	Duan M, Min Q 2005 J. Quant. Spectrosc. Radiat. 95 21
[12]	Lu P, H Zhang, J Li 2009 J. Quant. Spectrosc. Radiat. 110 129
[13]	Zhang H, Zhang F, Fu Q, Shen Z, Lu P 2010 J. Atmos. Sci. 67 3238
[14]	Liu Q, Weng F 2006 Geophys. Res. Lett. 33 L22811 doi:10.1029/ 2006GL027543
[15]	Hovenier J W, Stam D M 2007 J. Quant. Spectro. Radia. Trans. 107 83
[16]	Liou K N 2002 An Introduction to Atmospheric Radiation (2nd Ed.) (California: Academic Press) pp31-32, 105, 261, 272
[17]	C M Bender, S A Orsazag 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill Press) p258

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