Influence of aspect ratio on the light scattering properties of spherical aerosol particles

Zhang Xue-Hai; Wei He-Li; Dai Cong-Ming; Cao Ya-Nan; Li Xue-Bin

doi:10.7498/aps.64.224205

Abstract

The influence of aspect ratio on the light scattering properties of ellipsoidal particles is studied by using T-matrix method and discrete ordinate method in this paper. The light scattering characteristic quantities including extinction efficiency, asymmetrical parameter, single scattering albedo, scattering phase matrix, and bidirectional reflectance distribution function (BRDF) are computed. It is found that light scattering properties of ellipsoidal particles are sensitive to aspect ratio. The aspect ratio can influence the oscillation frequencies and amplitudes of the scattering parameters except some special size parameters. The value of asymmetrical factor could be as large as 0.3 in wave crest value of size parameter while it is no more than 0.1 at the balance location. As for the multiple scattering, the characteristics of BRDF for different aspect ratios in different incident angles and optical thickness values are analyzed, and for a further study, the relative differences of BRDF influenced by aspect ratio, optical thickness, and incident angle are analyzed. The results show that the variation trends of BRDF for the ellipsoidal particles with various aspect ratios are basically the same. However, the curve of BRDF of spherical particles (i.e., with their aspect ratios being 1) is more variable. With the increasing of aerosol optical thickness and aspect ratio, the curves of BRDF at different aspect ratios for ellipsoidal particles tend to a steady and similar value and the relative difference of BRDF decreases. But with the increasing of aerosol optical depth, the relative difference of BRDF increases with the increasing of incident angles, especially in large optical thickness, the value of the relative difference of BRDF can be as large as 15%.

Keywords:

ellipsoidal particle /
aspect ratio /
T-matrix /
bidirectional reflectance distribution function

Authors and contacts

1.
Key Laboratory of Atmospheric Composition and Optical Radiation, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 220031, China;
2.
Graduate University of Chinese Academy of Sciences, Beijing 100039, China;
3.
School of Environmental Sciences and Optoelectronic Technology, University of Science and Technology of China, Hefei 230031, China

Corresponding author: Wei He-Li, hlwei@aiofm.ac.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61077081) and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 41105021).

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[4]	Fan M, Chen L F, Li S S, Tao J H, Su L, Zou M M, Zhang Y, Han D 2012 Acta Phys. Sin. 61 204202 (in Chinese) [范萌, 陈良富, 李莘莘, 陶金花, 苏林, 邹铭敏, 张莹, 韩东2012 61 204202]
[5]	Sun X M, Wang H H, Shen J, Wang S J 2011 Acta Phys. Sin. 60 114216 (in Chinese) [孙贤明, 王海华, 申晋, 王淑君 2011 60 114216]
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[9]	Huang X, Yang P, Kattawar G, Liou K N 2015 J. Quant. Spectrosc. Radiat. Transfer 151 97
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[11]	Kahnert M, Nousiainen T, Veihelmann B 2005 J. Geophys. Res. 110 D18S13
[12]	Kahnert M, Kylling A 2004 J. Geophys. Res. 109 D09203
[13]	Waterman P C 1971 Phys. Rev. D 3 825
[14]	Mishchenko M I, Travis L D, Mackowski D W 1996 J. Quant. Spectrosc. Radiat. Transfer 55 535
[15]	Chandrasekhar S 　1950 Radiative Transfer (Oxford: Oxford University Press)
[16]	Liou K N 1973 J. Atmos. Sci. 30 1303
[17]	Stamnes K, Dale H 1981 J. Atmos. Sci. 38 1696
[18]	Liou K N (translated by Guo C L, Zhou S J) 2004 An Introduction to Atmospheric Radiation (Beijing: China Meteorological Press) pp372-377 (in Chinese) [廖国男著(郭彩丽, 周诗健译) 2004 大气辐射导论 (北京: 北京气象出版社)第372377页]
[19]	Dong Q S 1997 Chin. J. Radio Sci. 12 15 (in Chinese) [董庆生 1997 电波科学学报 12 15]
[20]	Diner D J, Bruegge C J, Martonchik J V, Bothwell G W, Danielson E D, Floyd E L, Ford V G, Hovland L E, Jones K L, White M L 1991 Int. J. Imaging Sys. Technol. 3 92
[21]	Fu Q 2007 J. Atmos. Sci. 64 4140
[22]	Yang P, Fu Q 2009 J. Quant. Spectrosc. Radiat. Transfer 110 1604
[23]	Diedenhoven B V, Cairns B, Geogdzhayev I V, Fridlind A M, Ackerman A S, Yang P, Baum B A 2012 Atmos. Meas. Tech. 5 2361
[24]	Macke A, Mueller J, Raschke E 1996 J. Atmos. Sci. 53 2813
[25]	Breon F M, Goloub P 1998 Geophys. Res. Lett. 25 1879
[26]	Duncan D D, Thomas M E 2007 Appl. Opt. 46 6187
[27]	Kokhanovsky A A, Rozanov V V 2003 J. Quant. Spectrosc. Radiat. Transfer 77 165

Cited By

[1]	Liu L P, Qian Y F 1996 J. Nanjing Univ. (Nat. Sci.) 32 316 (in Chinese) [刘黎平, 钱永甫 1996 南京大学学报 32 316]
[2]	Gao T C, Liu L, Li H 2007 J. PLA Univ. Sci. Technol. 8 302 (in Chinese) [高太长, 刘磊, 李浩 2007 解放军理工大学学报(自然科学版) 8 302]
[3]	Gong C W, Wei H L, Li X B, Shao S Y, Xu Q S, Chen X H 2009 Acta Opt. Sin. 29 1155 (in Chinese) [宫纯文, 魏合理, 李学彬, 邵士勇, 徐青山, 陈秀红 2009光学学报 29 1155]
[4]	Fan M, Chen L F, Li S S, Tao J H, Su L, Zou M M, Zhang Y, Han D 2012 Acta Phys. Sin. 61 204202 (in Chinese) [范萌, 陈良富, 李莘莘, 陶金花, 苏林, 邹铭敏, 张莹, 韩东2012 61 204202]
[5]	Sun X M, Wang H H, Shen J, Wang S J 2011 Acta Phys. Sin. 60 114216 (in Chinese) [孙贤明, 王海华, 申晋, 王淑君 2011 60 114216]
[6]	Shao S Y, Huang Y B, Wei H L, Rao R Z 2009 Acta Opt. Sin. 29 108 (in Chinese) [邵士勇, 黄印博, 魏合理, 饶瑞中 2009 光学学报 29 108]
[7]	Chen X H, Liu Q, Wei H L 2007 J. Light Scattering 19 283 (in Chinese) [陈秀红, 刘强, 魏合理 2007光散射学报 19 283]
[8]	Meland B, Kleiber P D, Grassian V H, Young M A 2010 J. Geophys. Res. 115 D20208
[9]	Huang X, Yang P, Kattawar G, Liou K N 2015 J. Quant. Spectrosc. Radiat. Transfer 151 97
[10]	Mishchenko M I, Travis L D, Kahn R A, West R A 1997 J. Geophys. Res. 102 16831
[11]	Kahnert M, Nousiainen T, Veihelmann B 2005 J. Geophys. Res. 110 D18S13
[12]	Kahnert M, Kylling A 2004 J. Geophys. Res. 109 D09203
[13]	Waterman P C 1971 Phys. Rev. D 3 825
[14]	Mishchenko M I, Travis L D, Mackowski D W 1996 J. Quant. Spectrosc. Radiat. Transfer 55 535
[15]	Chandrasekhar S 　1950 Radiative Transfer (Oxford: Oxford University Press)
[16]	Liou K N 1973 J. Atmos. Sci. 30 1303
[17]	Stamnes K, Dale H 1981 J. Atmos. Sci. 38 1696
[18]	Liou K N (translated by Guo C L, Zhou S J) 2004 An Introduction to Atmospheric Radiation (Beijing: China Meteorological Press) pp372-377 (in Chinese) [廖国男著(郭彩丽, 周诗健译) 2004 大气辐射导论 (北京: 北京气象出版社)第372377页]
[19]	Dong Q S 1997 Chin. J. Radio Sci. 12 15 (in Chinese) [董庆生 1997 电波科学学报 12 15]
[20]	Diner D J, Bruegge C J, Martonchik J V, Bothwell G W, Danielson E D, Floyd E L, Ford V G, Hovland L E, Jones K L, White M L 1991 Int. J. Imaging Sys. Technol. 3 92
[21]	Fu Q 2007 J. Atmos. Sci. 64 4140
[22]	Yang P, Fu Q 2009 J. Quant. Spectrosc. Radiat. Transfer 110 1604
[23]	Diedenhoven B V, Cairns B, Geogdzhayev I V, Fridlind A M, Ackerman A S, Yang P, Baum B A 2012 Atmos. Meas. Tech. 5 2361
[24]	Macke A, Mueller J, Raschke E 1996 J. Atmos. Sci. 53 2813
[25]	Breon F M, Goloub P 1998 Geophys. Res. Lett. 25 1879
[26]	Duncan D D, Thomas M E 2007 Appl. Opt. 46 6187
[27]	Kokhanovsky A A, Rozanov V V 2003 J. Quant. Spectrosc. Radiat. Transfer 77 165

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Vol. 64, Issue 22 - 2015-11-20

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