基于Fernald和Klett方法确定气溶胶消光系数边界值

摘要/Abstract

摘要：

基于Fernald方法和Klett方法，推导出一个具有明确物理意义的确定气溶胶消光系数边界值的表达式，该式比目前用于确定边界值的Collis斜率法表达式增加了两项：空气分子消光系数项和后向散射项，这两项与Collis斜率法的值符号相反。空气分子消光系数项较小，但后向散射项为后向散射系数的倒数和导数的乘积，绝对值能达到Collis斜率法的75.2 %。分析表明，考虑了新增两项反演的大气气溶胶光学厚度（AOD）与实测更接近，所以增加这两项是合理的、必要的。不同标高反演2007年9月20日的AOD在0.20~0.25之间，变化范围较小；反演的AOD方差为0.003，相对较小。说明新方法对标高的依赖较小且较稳定。分析424个时次晴空资料的反演结果可知，反演比实测大7.4%，反演与实测的相关系数为93.2%，相对误差和绝对误差分别为10.9%和0.03，反演的AOD方差为0.02，AOD小于0.45（占到资料总数的91.7%）时，反演结果较好。

关键词: 大气遥感, 激光雷达, 消光系数, 边界值, 标定高度, 光学厚度

Abstract:

Based on Fernald’s and Klett’s method, a new expression of the atmospheric extinction coefficient boundary value is presented. This expression is a formula that has two more terms than Collis’ method. The absolute value of the two terms may account for 78.2% of the term in Collis’ method and have opposite sign. Taking the two terms into consideration, aerosol optical depth（AOD) derived by lidar is closer to the observed one by sun-photometer. With the change of reference height，the derived AOD ranging from 0.20~0.25 and the variance is about 0.003，showing that this approach is independent from reference height and relatively stable. 424 clear sky data is selected in the inversion. AOD derived by lidar is 7.4 % bigger than the observed one. The correlation coefficient is 0.932, the relative error is 10.9 %, the absolute error is 0.03 and the variance is 0.02. The approach has a better performance when AOD is less than 0.45.

Key words: remote sensing, lidar, extinction coefficient, boundary value, reference height, aerosol optical depth

田鹏飞，张镭，曹贤洁，王瑾，周碧，王宏斌，黄忠伟，张武?. 基于Fernald和Klett方法确定气溶胶消光系数边界值[J]. J4, 2013, 30(1): 57-65.

TIAN Peng-fei, ZHANG Lei, CAO Xian-jie, WANG Jin, ZHOU Bi, WANG Hong-bin, HUANG Zhong-wei, ZHANG Wu. A novel approach based on Fernald’s and Klett’s method to determine the atmospheric extinction coefficient boundary value[J]. J4, 2013, 30(1): 57-65.

参考文献

[1] Charlson R J, Schwartz S E, Hales J M, et al. Climate Forcing by Anthropogenic Aerosols
[J]. Science, 1992, 24, 423-430.

[2] Yasuhiro Sasano. Tropospheric aerosol extinction coefficient profiles derived from scanning lidar measurements over Tsukuba, Japan, from 1990 to 1993
[J]. Applied Optics, 1996, 35(24), 4941-4952.

[3] Merlauldl A, Roozendael1 M V, Theys1 N, et al. Airborne DOAS measurements in Arctic: vertical distributions of aerosol extinction coefficient and NO2 concentration
[J]. Atmospheric Chemistry and Physics, 2011, 11(17), 9219-9236.

[4] Pornsarp Pornsawad, Giuseppe D'Amico, Christine Bockmann, et al. Retrieval of aerosol extinction coefficient profiles from Raman lidar data by inversion method
[J]. Applied Optics, 2012, 51(12), 2035-2044.

[5] Collis R T H. Lidar: A new atmospheric probe
[J]. Quarterly Journal of the Royal Meteorological Society, 1967, 93(398): 553-555.

[6] Collis R T H, Russell P B. Lidar measurement of particles and gases by elastic backscattering and differential absorption in laser monitoring of the atmosphere
[M]. Heidelberg: Springer Berlin, 1976, 71-102.

[7] Klett J D. Stable analytical inversion solution for processing lidar returns
[J]. Applied Optics, 1981, 20(2): 211-220.

[8] Klett J D. Lidar inversion with variable backscatter/extinction ratios
[J]. Applied Optics, 1985, 24(11): 1638-1643.

[9] Fernald F G. Analysis of atmospheric lidar observations: some comments
[J]. Applied Optics, 1984, 23(2): 652-653.

[10] Liu H T, Ge Z Q, Wang Z Z, et al. Extinction Coefficient Inversion of Airborne Lidar Detecting in Low-Altitude by Fernald Iterative Backwark Integration Method (FIBIM)
[J]. Acta Optica Sinica(光学学报), 2008, 28(10), 1837-1843(in Chinese).

[11] Zhou J, Yue G M, Qi F D, et al. Optical Properties of Aerosol Derived from Lidar Measurement
[J].Chinese Journal of Quantum Electronics(量子电子学报), 1998，15（2）, 4140-4148(in Chinese).

[12] Han X. Retrieval of Lanzhou Urban and Suburb Aerosol Radiative ProPerties using Lidar Measurement
[D]. Master Thesis of Lanzhou Unicersity, 2007, 16-25(in Chinese).

[13] Xia J R. Lidar Measurement of Atmospheric Aerosol Radiative Properties over Lanzhou
[D]. Master Thesis of Lanzhou University, 2006, 21-22(in Chinese).

[14] He Y H, Zhen Y C, Cheng J, et al. Estimation of extinction efficient boundary value with least 一square fitting for lidar return signal
[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2004, 21(6), 879-883(in Chinese).

[15] Chen T, Wu D C, Liu B, et al. A New Method for Determining Aerosol Baekscatter Coefficient Boundary Value in the Lower Troposphere
[J]. Acta Optica Sinica(光学学报), 2010, 30(6), 1531-1536(in Chinese).

[16] Christian C M, Todd K M, Jacob H G. An iterative least square approach to elastic-lidar retrievals for well-characterized aerosols
[J]. IEEE Transactions on Geoscience and Remote Sensing, 2010, 48(5), 2430-2444.

[17] Xiong X L, Feng S, Jiang L H, et al. A novel method for determining the boundary value of the atmospheric extinction coefficient
[J]. Journal of Optoelectronics•Lase（光电子•激光）, 2011, 22(11), 1669-1705(in Chinese).

[18] Xiong X L, Jiang L H, Feng S, et al. Determination of the boundary value of atmospheric aerosol extinction coefficient based on fixed point principle
[J]. Journal of Optoelectronics•Lase（光电子•激光）, 2012, 23(2), 303-309 (in Chinese).

[19] Huang J P, Zhang W, Zuo J Q, et al. An Overview of the Semi-arid Climate and Environment Research Observatory over the Loess Plateau
[J]. Advances in Atmospheric Sciences, 2008, 25(6): 906-921.

[20] Cao X J, Zhang L, Zhou B, et al. Lidar Measurement of Dust Aerosol Radiative Properity over Lanzhou
[J]. Plateau Meteorology（高原气象）, 2009, 28(5), 1115-1120(in Chinese).

[21] Deng T, Zhang L, Chen M, et al. The influence of high cloud and aerosol radiative effect on boundary layer
[J]. Chinese Journal of Atmospheric Sciences（大气科学）, 34(5), 979-987(in Chinese).

[22] Zhang L, Cao X, Bao J, et al. A case study of dust aerosol radiative properties over Lanzhou, China
[J]. Atmospheric Chemistry and Physics, 2010, 10(9), 4283-4293.

[23] Ge J M, Su J, Ackerman T P, et al. Dust aerosol optical properties retrieval and radiative forcing over northwestern China during the 2008 China‐U.S. joint field experiment
[J]. Journal of Geophysical Research, 2010, 115, D00K12.

[24] Zhou B, Zhang L, Cao X J, et al. Analyses on Atmospheric Aerosol Optical Properties with Lidar Data in Lanzhou Suburb
[J]. Plateau Meteorology（高原气象）, 2011, 30(4), 1011-1017 (in Chinese).

[25] Holben B N, Eck T F, Slutsker J, et al. AERONET - A federated instrument network and data archive for aerosol characterization
[J]. Remote Sens Environ, 1998, 66(1): 1-16.

[26] Eck T F, Holben B N, Reid J S, et al. Wavelength dependence of the optical depth of biomass burning, urban and desert dust aerosols
[J]. Journal of Geophysical Research, 1999, 104(31), 331-350.

[27] Wang H B, Zhang L, Liu R J, et al. Comparison and assessment of the MODIS C005 and C004 aerosol products over the China
[J]. Plateau Meteorology（高原气象）, 2011, 30(3), 772-783 (in Chinese).

[28] Kovalev, V A. Sensitivity of the lidar solution to errors of the aerosol backscatter-to-extinction ratio: Influence of a monotonic change in the aerosol extinction coefficient
[J]. Applied Optics, 1995, 34（18）, 3457-3462.