大气粒子多角度散射特性测量技术研究进展

摘要/Abstract

摘要： 大气粒子多角度散射特性包括散射函数及散射相矩阵(也称“M¨ueller矩阵”), 两者不仅是辐射传输模拟的基本输入参数, 同时也是大气粒子微物理性质的载体。由于其基础性地位, 大气粒子多角度散射特性测量技术一直是大气科学领域的研究热点。对大气粒子散射函数及M¨ueller 矩阵测量技术的研究现状进行了综述, 主要内容包括以下四个方面: (1) 从大气粒子微物理特征的不确定性、数值计算方法的局限性和复杂性出发, 分析了大气粒子光散射研究中存在的困难, 指出发展大气粒子散射函数及Müeller矩阵测量技术的必要性; (2) 概述了可见近红外波段的多角度散射观测技术研究现状, 将可见近红外波段测量仪器分平面旋转接收型、固定接收型和镜面反射型三类, 重点讨论了不同设计方案的优缺点; (3) 介绍了基于微波比拟技术测量单粒子散射特性的研究现状及其优势和劣势; (4) 总结了多角度散射特性测量技术研究中存在的问题, 并展望了多角度散射测量技术的发展方向。本工作可为后续的大气粒子光散射测量技术研究提供一定参考。

关键词: 大气光学, 大气粒子, 多角度散射特性, 测量技术, 光散射

Abstract: The multi-angle scattering properties of atmospheric particles includes scattering function and scattering matrix (also known as “M¨ueller matrix”), which are not only the basic parameters for unpolarized and polarized radiative transfer simulation, but also the information carriers of the microphysical properties of atmospheric particles. Because of its fundamental position, how to obtain the scattering characteristics of aerosol has become an international hot spot of atmospheric research. The actuality and progress of the measurement techniques of the scattering function and M¨ueller matrix are reviewed, and the main content can be divided into four parts, as shown in the following: (1) The challenge and necessity of developing the measurement techniques of the multi-angle scattering properties are pointed out by analyzing the uncertainty of aerosol micro-physical properties and the limitation and complexity of the existed scattering theory. (2) The multi-angle scattering measurement techniques at visible-infrared band are described concisely, where the measurement instruments and prototypes of scattering function and M¨ueller matrix are grouped into three types according to their design principles, and the development progress, advantages and disadvantages of the different types of design are analyzed as well. (3) The research status, advantages and disadvantages of the measurement techniques in microwave band are introduced briefly. (4) The existing problems in the multi-angle scattering properties measurement techniques are summarized, and the corresponding research hot spots and development trend are prospected. This work can provide a reference for the further study of the multi-angle scattering properties of the atmospheric particles.

Key words: atmospheric optics, atmospheric particles, multi-angle scattering properties, measurement techniques, light scattering

中图分类号:

P407.4

胡帅, ∗, 刘磊, ∗ 刘西川, 高太长, . 大气粒子多角度散射特性测量技术研究进展[J]. 量子电子学报, 2020, 37(4): 477-496.

HU Shuai, ∗, LIU Lei, ∗, LIU Xichuan, GAO Taichang, . Progress of measurement techniques of multi-angle scattering properties of atmospheric particles[J]. Chinese Journal of Quantum Electronics, 2020, 37(4): 477-496.

参考文献 130

[1]	Liou K N. An Introduction to Atmospheric Radiation [M]. San Diego: Academic Press, 2003.
[2]	Yang P, Liou K N, Bi L, et al. On the radiative properties of ice clouds: Light scattering, remote sensing, and radiation
	parameterization [J]. Advances in Atmospheric Sciences, 2015, 32: 32-63.
[3]	Rao Ruizhong. Modern Atmospheric Optics (现代大气光学) [M]. Beijing: Science Press, 2012 (in Chinese).
[4]	Chen Hongbin, Sun Haibing. Absorption and scattering properties of surface melted ice spheres in visible and near infrared
	regions [J]. Chinese Journal of Atmospheric Sciences (大气科学), 1999, 23(2): 233-238 (in Chinese).
[5]	Dou T, Xiao C, Shindell D T, et al. The distribution of snow black carbon observed in the Arctic and compared to the GISSPUCCINI
	model [J]. Atmospheric Chemistry and Physics, 2012, 12: 7995-8007.
[6]	IPCC: Climate change 2007. Intergovernmental panel of global climate change [R]. 2007.
[7]	Liou K N, Takano Y, Yang P. Intensity and polarization of dust aerosols over polarized anisotropic surfaces [J]. Journal of
	Quantitative Spectroscopy & Radiative Transfer, 2013, 127: 149-157.
[8]	Wu Zhensen, You Jiguang, Yang Ruike. Study on laser attenuation character in sand and dust storms [J]. Chinese Journal of
	Lasers (中国激光), 2004, 31(9): 1076-1080 (in Chinese).
[9]	Wang Jianyun. U.S. military’s weapons encounter the challenge of Afghanistan’s meteorological condition [J]. Modern
	Weapons (现代兵器), 2001, 12: 35-36 (in Chinese).
[10]	Li Min. Development trend of the laser weapon and analysis [J]. Ship Electronic Engineering (舰船电子工程), 37(11): 16-20
	(in Chinese).
[11]	Liu Jingru, Du Taijiao,Wang Lijun. High Energy Laser System Test and Evaluation (高能激光系统试验与评估) [M]. Beijing:
	National Defense Industry Press, 2014 (in Chinese).
[12]	Xie Chenbo, Mao Minjuan, Yue Guming, et al. New mobile lidar for the measurement of tropospheric aerosol [J]. Spectroscopy
	and Spectral Analysis (光谱学与光谱分析), 2006, 26(11): 1973-1976 (in Chinese).
[13]	Yang Hui, LiuWenqing, Liu Jianguo, et al. Urban planetary boundary layer aerosol monitoring by lidar at Beijing [J]. Chinese
	Journal of Lasers (中国激光), 2006, 33(9): 1255-1259 (in Chinese).
[14]	Guo Hong, Gu Xingfa, Xie Donghai, et al. A review of atmospheric aerosol research by using polarization remote sensing [J].
	Spectroscopy and Spectral Analysis (光谱学与光谱分析), 2014, 34(7): 1873-1880 (in Chinese).
[15]	Liu Dong,Wang YingJian,Wang Zhien, et al. Development and data application of space borne lidar for atmospheric sounding
[C]	10th National Optoelectronic Technology Academic Exchange Conference, 2012.
[16]	Gon Jieqiong, Zhan Haigang, Liu Dazhao. A review on polarization information in the remote sensing detection [J]. Spectroscopy
	and Spectral Analysis (光谱学与光谱分析), 2010, 30(4): 1088-1095 (in Chinese).
[17]	Deuz´e J L, Goloub P, Herman M, et al. Estimate of the aerosol properties over the ocean with POLDER [J]. Journal of
	Geophysical Research, 2000, 105(D12): 15329-15346.
[18]	Deuz´e J L, Br´eon F M, Devaux C, et al. Remote sensing of aerosols over land surfaces from POLDER-ADEOS-1 polarized
	measurements [J]. Journal of Geophysical Research, 2001, 106(D5): 4913-4926.
[19]	Hu Shuai, Gao Taichang, Li Hao, et al. Influence of atmospheric refraction on radiative transfer at visible light band [J]. Acta
	Physica Sinica (物理学报), 2015, 64(18): 184203 (in Chinese).
[20]	Hu S, Gao T, Li H, et al. Effect of atmospheric refraction on radiative transfer in visible and near-infrared band: Model
	development, validation, and applications [J].Journal of Geophysical Research: Atmospheres, 2016, 121: 2349-2368.
[21]	Hu Shuai, Gao Taichang, Liu Lei. Analysis on scattering characteristics and equivalent Mie scattering errors of nonspherical
	atmospheric aerosol [J]. Journal of the Meteorological Sciences (气象科学), 2014, 34(6): 612-619 (in Chinese).
[22]	Fan Meng, Chen Liangfu, Li Shenshen, et al. Scattering properties of nonspherical particles in the CO2 shortwave infrared
	band [J]. Acta Physica Sinica (物理学报), 2012, 61(20): 2042021 (in Chinese).
[23]	Cheng T H, Gu X F, Yu T, et al. The reflection and polarization properties of non-spherical aerosol particles [J]. Journal of
	Quantitative Spectroscopy and Radiative Transfer, 2010, 111(6): 895-906.
[24]	Dubovik O, Sinyuk A, Lapyonok T, et al. Application of spheroid models to account for aerosol particle nonsphericity in
	remote sensing of desert dust [J]. Journal of Geophysical Research, 2006, 111: D11208.
[25]	Hu Shuai, Gao Taichang, Liu Lei, et al. Simulation of radiation transfer properties of polarized light in non-spherical aerosol
	using Monte Carlo method [J]. Acta Physica Sinica (物理学报), 2015, 64(9): 094201 (in Chinese).
[26]	Herman M, Deuz´e J L, Marchand A, et al. Aerosol remote sensing from POLDER//ADEOS over the ocean: Improved retrieval
	using a nonspherical particle model [J]. Journal of Geophysical Research, 2005, 110: D10S02.
[27]	Zhang Xuehai, Wei Heli, Dai Chongming, et al. Influence of aspect ratio on the light scattering properties of spherical aerosol
	particles [J]. Acta Physica Sinica (物理学报), 2015, 64(22): 224205 (in Chinese).
[28]	Shao Shiyong, Huang Yinbo, Wei Heli. Phase function of prolate spheroidic mono-disperse aerosol particles [J]. Acta Optica
	Sinica (光学学报), 2008, 29(1): 108-113 (in Chinese).
[29]	Hu Shuai, Gao Taichang, Li Hao, et al. Regularized inversion method for retrieving aerosol size distribution based on volume
	scattering function data at near-infrared waveband [J]. Infrared and Laser Engineering (红外与激光工程), 2015, 43(1): 1-10
	(in Chinese).
[30]	Li Xuebin, Gao Yiqiao, Wei Heli. Development of optical particle counter with double scattering angles [J]. Optics and
	Precision Engineering (光学精密工程), 2009, 17(7): 1528-1534 (in Chinese).
[31]	Lienert B R, Porter J N, Sharma S K. Aerosol size distributions from genetic inversion of polar nephelometer data [J]. Journal
	of Atmospheric and Oceanic Technology, 2003, 20(4): 1403.
[32]	Barkey B, Paulson S E, Chung A. Genetic algorithm inversion of dual polarization polar nephelometer data to determine aerosol
	refractive index [J]. Aerosol Science and Technology, 2007, 41: 751-760.
[33]	Hu Huanling, Zhao Fengsheng, Gong Zhiben. The influence of refractive index on the measurement accuracy of light scattering
	particle counter [J]. Chinese Science Bulletin (科学通报), 1987(8): 632-634 (in Chinese).
[34]	Mao Jietai, Zhang Junhua, Wang Meihua. Summary comment on resaerch of atmospheric aerosol in China [J]. Acta Meteorologica
	Sinica (气象学报), 2002, 60(5): 625-634 (in Chinese).
[35]	Xu Li, Okada Ki, Zhang Peng, et al. An observation study of physical and chemical characteristics of atmospheric aerosol
	particles from late spring to early autumn over the Beijing area [J]. Chinese Journal of Atmospheric Sciences (大气科学),
20	02, 26(3): 402-411 (in Chinese).
[36]	Ulanowski Z, Hesse E, Kaye P H, et al. Scattering of light from atmospheric ice analogues [J]. Journal of Quantitative
	Spectroscopy & Radiative Transfer, 2003, 79-80: 1091-1102.
[37]	Barkey B, Paulson S, Liou K N. Polar Nephelometers for Light Scattering by Ice Crystals and Aerosols: Design and Measurements
	(Light Scattering Review) [M]. Springer, 2012: 3-37.
[38]	Liu L, Mishchenko M I, Arnott W P. A study of radiative properties of fractal soot aggregates using the superposition T-matrix
	method [J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2008, 109(15): 2656-2663.
[39]	Zhang X Y, Wang Y Q, Niu T, et al. Atmospheric aerosol compositions in China: Spatial/temporal variability, chemical
	signature, regional haze distribution and comparisons with global aerosols [J]. Atmospheric Chemistry and Physics, 2012,
12	(21): 779-799.
[40]	Hanel G, Zankl B. Aerosol size and relative humidity: Water uptake by mixtures of salts [J]. Tellus, 1984, 31(8): 478-486.
[41]	Tang I N. Chemical and size effects of hygroscopic aerosols on light scattering coeffients [J]. Journal of Geophysical Research,
19	96, 101(D14): 19245-19250.
[42]	Mu˜noz O, Moreno F, Guirado D, et al. The Amsterdam-Granada light scattering database [J]. Journal of Quantitative Spectroscopy
	and Radiative Transfer, 2012, 113(7): 565-574.
[43]	Draine B T, Flatau P J. Discrete-dipole approximation for scattering calculations [J]. Journalof the Optical Society of America
	A, 1994, 11(4): 1491-1499.
[44]	Yurkin M A, Hoekstra A G. The discrete-dipole-approximation code ADDA: Capabilities and known limitations [J]. Journal
	of Quantitative Spectroscopy and Radiative Transfer, 2011, 112(13): 2234-2247.
[45]	Yang P, Liou K N. Light scattering by hexagonal ice crystals: Comparison of finite-difference time domain and geometric
	optics models [J]. Journal of the Optical Society of America A, 1995, 12(1): 162-176.
[46]	Hu S, Gao T, Li H, et al. Light scattering computation model for nonspherical aerosol particles based on multi-resolution
	time-domain scheme: Model development and validation [J]. Optics Express, 2017, 25(2): 1643-1686.
[47]	Hu S, Gao T, Li H, et al. Application of convolution perfectly matched layer in MRTD scattering model for non-spherical
	aerosol particles and its performance analysis [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2017, 200: 1-11.
[48]	Hu S, Gao T, Li H, et al. Simultaneously simulating the scattering properties of nonspherical aerosol particles with different
	sizes by the MRTD scattering model [J]. Optics Express, 2017, 25(15): 17872-17891.
[49]	Hu S, Gao T, Liu L, et al. Application of the weighted total field-scattering field technique to 3D-PSTD light scattering model
[J]	Journal of Quantitative Spectroscopy & Radiative Transfer, 2018, 209: 58-72.
[50]	Hu S, Gao T, Li H, et al. Light-scattering model for aerosol particles with irregular shapes and inhomogeneous compositions
	using a parallelized pseudo-spectral time-domain technique [J]. Chinese Physics B, 2018, 27(5): 054215.
[51]	Liu C, Bi L, Panetta R L, et al. Comparison between the pseudo-spectral time domain method and the discrete dipole approximation
	for light scattering simulations [J]. Optics Express, 2012, 20(15): 16763-16776.
[52]	Liu C, Panetta R L, Yang P. Application of the pseudo-spectral time domain method to compute particle single-scattering
	properties for size parameters up to 200 [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2012, 113: 1728-1740.
[53]	Liu C, Panetta R L, Yang P. The effects of surface roughness on the scattering properties of hexagonal columns with sizes
	from the Rayleigh to the geometric optics regimes [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2013, 129:
16	9-185.
[54]	Bi L, Yang P, Kattawar G W, et al. Efficient implementation of the invariant imbedding T-matrix method and the separation
	of variables method applied to large nonspherical inhomogeneous particles [J]. Journal of Quantitative Spectroscopy and
	Radiative Transfer, 2013, 116: 169-183.
[55]	Hu S, Liu L, Gao T, et al. Design and validation of the invariant imbedded T-matrix scattering model for atmospheric particles
	with arbitrary shapes [J]. Applied Sciences, 2019, 9(20): 4423.
[56]	Hu S, Liu L, Gao T, et al. An efficient implementation of the light scattering simulation for random-oriented non-rotationally
	symmetric particles using invariant imbedding T-matrix method [J]. Journal of Quantitative Spectroscopy and Radiative Transfer,
20	20, 241: 106734.
[57]	MishchenkoMI, Hovenier JW, Travis L D. Light Scattering by Nonspherical Particles, Thoery, Measurements, and Application
[M]	New York: Academic Press, 2000.
[58]	Mishchenko M I, Travis L D. Capabilities and limitations of a current Fortran implementation of the T-martrix method for
	randomly oriented, rotationally symmetric scatterers [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 1998,
60	(3): 309-324.
[59]	Kalashnikov O V, Sokolik I N. Modeling the radiative properties of nonspherical soil-derived mineral aerosols [J]. Journal of
	Quantitative Spectroscopy & Radiative Transfer, 2004, 87: 137-166.
[60]	Kahnert M, Kylling A. Radiance and flux simulations for mineral dust aerosols: Assessing the error due tousing spherical or
	spheroidal model particles [J]. Journal of Geophysical Research Atmospheres, 2004, 109(D9): 729-736.
[61]	Hovenier J W, Volten H, Munoz O, et al. Laboratory studies of scattering matrices for randomly oriented particles: Potentials,
	problems, and perspectives [J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2003, 70-80: 741-755.
[62]	Kerker M. Light scattering instrumentation for areosol study: A historical overview [J]. Aerosol Science & Technology, 1997,
27	(11): 522-540.
[63]	Dellago. Bestimmung der Gr¨obenverteilung von Aerosolpartikeln aus optischen Daten-M¨oglichkeiten und Probleme [D]. Master
	Thesis of University of Vienna, 1991.
[64]	Kuik F, Stammes P, Hovenier JW. Experimental determination of scattering matrices of water droplets and quartz particles [J].
	Applied Optics, 1991, 30(33): 4872-4881.
[65]	Tyler J E, RichardsonWH. Nephelometer for the measurement of volume scattering function in situ [J]. Journal of the Optical
	Society of America A, 1958, 48(5): 354-357.
[66]	Quiney R G, Carswell A. Laboratory measurements of light scattering by simulated atmospheric aerosols [J]. Applied Optics,
19	72 11(7): 1611-1618.
[67]	Hunt A J, Huffman D R. A new polarization modulated light scattering instrument [J]. Review of Scientific Instruments, 1973,
44	(12): 1753-1762.
[68]	Thompson R C, Bottiger J R, Fry E S. Measurement of polarized light interactions via the Mueller matrix [J]. Applied Optics,
19	80, 19(8): 1323-1332.
[69]	Volten H, Munoz O, Rol E, et al. Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm [J]. Journal of
	Geophysical Research, 2001, 106(D51): 17375-17401.
[70]	Ulanowski Z, Greenaway R S, Kaye P H, et al. Laser diffractometer for single-particle scattering measurements [J]. Measurement
	Science and Technology, 2002, 13(3): 292-296.
[71]	Renard J B, Hadamcik E, Cout´e B, et al. Wavelength dependence of linear polarization in the visible and near infrared domain
	for large levitating grains (PROGRA2 instruments) [J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2014,
14	6: 424-430.
[72]	Gorchakov G I. Light scattering matrices in the atmospheric surface layer [J]. Bull(Izv) Acad Sci USSR, 1966, 2: 595-605.
[73]	Holland A C, Draper J S. Analytical and experimental investigation of light scattering from polydispersions of Mie particles
[J]	Applied Optics, 1967, 6(3): 511-518.
[74]	Holland A C, Gagne G. The scattering of polarized light by polydisperse systems of irregular particles [J]. Applied Optics,
19	70, 9(5): 1113-1121.
[75]	Huffman P. Polarization of light scattered by ice crystals [J]. Journal of the Atmospheric Sciences, 1970, 27: 1207-1208.
[76]	Perry R J, Hunt A J, Huffman D R. Experimental determinations of Mueller scattering matrices for nonspherical particles [J].
	Applied Optics, 1978, 17(17): 2700-2710.
[77]	Sassen K, Liou K N. Scattering of polarized laser light by water droplet, mixed-phase and ice crystal clouds. Part I: Angular
	scattering patterns [J]. Journal of the Atmospheric Sciences, 1979, 36: 838-851.
[78]	Sassen K, Liou K N. Scattering of polarized laser light by water droplet, mixed-phase and ice crystal clouds. Part II: Angular
	depolarizing and multiple scattering behavior [J]. Journal of the Atmospheric Sciences, 1979, 36: 852-861.
[79]	Dugin V P, Golubitskiy B M, Mirumyants S O, et al. Optical properties of articial ice clouds [J]. Bull (Izv) Acad Sci USSR,
19	71, 7: 871-877.
[80]	Dugin V P, Mirumyants S O. The light scattering matrices of artificial crystalline clouds [J]. Bull (Izv) Acad Sci USSR, Atmospheric
	and Oceanic Physics, 1976, 9: 988-991.
[81]	HansonMZ, EvansWH. Polar nephelometer for atmospheric particulate studies [J]. Applied Optics, 1980, 19(19): 3389-3395.
[82]	Takamura T, Tanaka M. Measurements of intensity and degree of polarization of light scattered by aerosols [J]. Science Reports
	of the Tohoku University Ser Geophysics, 1978, 25: 169-196.
[83]	Tanaka M T, NakajimaT. Refractive index and size distribution of aerosols as estimated from light scattering measurements [J].
	Journal of Climatology & Applied Meteorology, 1983, 22(7): 1253-1261.
[84]	Quinby-Hunt M S, Erskine L L, Hunt A J. Polarized light scattering by aerosols in the marine atmospheric boundary layer [J].
	Applied Optics, 1997, 36(21): 5168-5184.
[85]	Zhao F, Gong Z, Hu H, et al. Simultaneous determination of the aerosol complex index of refraction and size distribution from
	scattering measurements of polarized light [J]. Applied Optics, 1997, 36(30): 7992-8001.
[86]	Zhao F. Determination of the complex index of refraction and size distribution of aerosols from polar nephelometer measurements
[J]	Applied Optics, 1999, 38(12): 2331-2336.
[87]	Schnaiter M, Wurm G. Experiments on light scattering and extinction by small, micrometer-sized aggregates of spheres. [J].
	Applied Optics, 2002, 41(6): 1175-1180.
[88]	Porter J N, Lienert B R, Sharma S K, et al. Vertical and horizontal aerosol scattering fields over Bellows beach, Oahu, during
	the SEAS experiment [J]. Journal of Atmospheric and Oceanic Technology, 2003, 20(13): 1375-1387.
[89]	Cui Wenyi, Hong Jin, Zhang Yunjie, et al. Control of the polarizing angle on different scattering angle in multi-angle polarization
	nephelometer [J]. Journal of Atmospheric and Environmental Optics (大气与环境光学学报), 2010, 5(3): 209-214 (in
	Chinese).
[90]	Xie Qiyuan, Zhang Heping, Zhang Yongming, et al. Experimental study on Stokes scattering matrixes of smoke particles [J].
	Journal of Infrared and Millimeter Waves (红外与毫米波学报), 2007, 26(4): 279-283 (in Chinese).
[91]	Zhang Qixing, Li Yaodong, Deng Xiaojiu, et al. Experimental determination of scattering matrix of fire smoke particles at 532
	nm [J]. Acta Physica Sinica (物理学报), 2011, 60(8): 084216 (in Chinese).
[92]	Pluchino A. Scattering photometer for measuring single ice crystals and evaporation and condensation rates of liquid droplets
[J]	Journal of the Optical Society of America A, 1987, 4(3): 614-620.
[93]	Dick W D, McMurry P H, Bottiger J R. Size-and composition-dependent response of the DAWN-A multiangle single-particle
	optical detector [J]. Aerosol Science and Technology, 1994, 20(4): 345-362.
[94]	Dick W D, Ziemann P J, Huang P F, et al. Optical shape fraction measurements of submicrometre laboratory and atmospheric
	aerosols [J]. Measurement Science and Technology, 1998, 9(2): 183-196.
[95]	Leong K H, Jones M R, Holdridge D J. Design and test of a polar nephelometer [J]. Aerosol Science and Technology, 1995,
23	(16): 341-356.
[96]	West R A, Doose L R, Eibl A M. Laboratory measurements of mineral dust scattering phase function and linear polarization
[J]	Journal of Geophysical Research, 1997, 102(D14): 16871-16881.
[97]	Barkey B, Liou K N. Polar nephelometer for light-scattering measurements of ice crystals [J]. Optics Letters, 2001, 26(4):
23	2-234.
[98]	Abdelmonem A, Schnaiter M, Amsler P, et al. First correlated measurements of the shape and light scattering properties
	of cloud particles using the new Particle Habit Imaging and Polar Scattering (PHIPS) probe [J]. Atmospheric Measurement
	Techniques, 2011, 4: 2125-2142.
[99]	Sch¨on R, Schnaiter M, Ulanowski Z, et al. Particle habit imaging using incoherent light: A first step toward a novel instrument
	for cloud microphysics [J]. Journal of Atmospheric and Oceanic Technology, 2011, 28(4): 493-512.
[100]	Meng Xiangqian, Hu Shunxing, Wang Yingjian, et al. Aerosol scattering phase function and visibility based on charge
	coupled device [J]. Acta Optica Sinica (光学学报), 2012, 32(9): 1-6 (in Chinese).
[101]	Dick W D, Ziemann P J, McMurry P H. Multiangle light-scattering measurements of refractive index of submicron atmospheric
	particles [J]. Aerosol Science and Technology, 2007, 41(5): 549-569.
[102]	Jones M R, Curry B P, BrewsterM Q, et al. Inversion of light-scattering measurements for particle size and optical constants:
	Theoretical study [J]. Applied Optics, 1994, 33(18): 4025-4034.
[103]	JonesMR, Leong K H, BrewsterMQ, et al. Inversion of light-scattering measurements for particle size and optical constants:
	Experimental study [J]. Applied Optics, 1994, 33(8): 4035-4041.
[104]	Li Cai, Ke Tiancun, Cao Wenxi, et al. An instrument for measuring in-situ profiles of the volume scattering function of
	seawater [J]. Optical Technique (光学技术), 2005, 31(suppl.): 221-214 (in Chinese).
[105]	Bartholdi M, Salzman G C, Hiebert R D, et al. Differential light scattering photometer for rapid analysis of single particles in
	flow [J]. Applied Optics, 1980, 19(10): 1573-1581.
[106]	Hirst E, Kaye P H, Guppy J R. Light scattering from nonspherical airborne particles: Experimental and theoretical comparisons
[J]	Applied Optics, 1994, 33(30): 7180-7186.
[107]	Gayet J F, Crepel O, Fournol J F, et al. A new airborne polar Nephelometer for the measurements of optical and microphysical
	cloud properties. Part I: Theoretical design [J]. Annales Geophysicae, 1997, 15(13): 451-459.
[108]	Gayet J F, Crepel O, Fournol J F, et al. A new airborne polar Nephelometer for the measurements of optical and microphysical
	cloud properties. Part II: Preliminary tests [J]. Annales Geophysicae, 1997, 15(13): 460-470.
[109]	Kaller W. A new polar nephelometer for measurement of atmospheric aerosol [J]. Journal of Quantitative Spectroscopy &
	Radiative Transfer, 2004, 87(32): 107-117.
[110]	Castagner J L, Bigio I J. Polar nephelometer based on a rotational confocal imaging setup [J]. Applied Optics, 2006, 45(10):
22	32-2239.
[111]	Castagner J L, Bigio I J. Particle sizing with a fast polar nephelometer [J]. Applied Optics, 2007, 46(4): 527-532.
[112]	Curtis D B, Aycibina M, Young M A, et al. Simultaneous measurement of light-scattering properties and particle size
	distribution for aerosols application to ammonium sulfate and quartz aerosol particles [J]. Atmospheric Environment, 2007, 41:
47	48-4758.
[113]	Curtis D B, Meland B, Aycibin M. A laboratory investigation of light scattering from representative components of mineral
	dust aerosol at a wavelength of 550 nm [J]. Journal of Geophysical Research, 2008, 113: D08210.
[114]	Wang Y, Chakrabarti A, Sorensen C M. A light-scattering study of the scattering matrix elements of Arizona Road Dust [J].
	Journal of Quantitative Spectroscopy and Radiative Transfer, 2015, 163: 72-79.
[115]	Bohren C F, Huffman D R. Absorption and Scattering of Light by Small Particles [M]. New York: John Wiley& Sons Inc.,
	1983.
[116]	Greenberg J M, Pedersen N E, Pedersen J C. Microwave analog to the scattering of light by nonspherical particles [J]. Journal
	of Applied Physics, 1961, 32(2): 233-242.
[117]	Gustafson B Å S. Microwave analog to light scattering measurements: A modern implementation of a proven method to
	achieve precise control [J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 1996, 55(5): 663-672.
[118]	Waterman P C. Symmetry, unitarity, and geometry in electromagnetic scattering [J]. Physical Review D, 1971, 3(4): 825-839.
[119]	Zerull R H, Giese R H, Weiss K. Scattering functions of nonspherical dielectric and absorbing particles VS Mie theory (E)
[J]	Applied Optics, 1977, 16(4): 777-778.
[120]	Zerull R H. Scattering measurements of dielectric and absorbing nonspherical particles [J]. Beitraege zur Physik der Atmosphaere,
19	76, 49: 168-188.
[121]	Allan L E, McCormick G C. Measurements of the backscatter matrix of dielectric spheroids [J]. IEEE Transactions on
	Antennas and Propagation, 1978, 26: 579-587.
[122]	Greenberg J M, Gustafson B Å S. A comet fragment model for zodiacal light particles [J]. Astronomy & Astrophysics, 1979,
11	(11): 35-42.
[123]	Schuerman D W, Wang R T, Gustafson B Å S, et al. Systematic studies of light scattering. 1: Particle shape [J]. Applied
	Optics, 1981, 20(23): 4039-4050.
[124]	Wang R T, Greenberg J M, Schuerman D W. Experimental results of dependent light scattering by two spheres [J]. Optics
	Letters, 1981, 6(11): 543-545.
[125]	Fuller K A, Kattawar G W, Wang R T. Electromagnetic scattering from two dielectric spheres: Further comparisons between
	theory and experiment [J]. Applied Optics, 1986, 25(15): 2521-2529.
[126]	Chylek P, Srivastava V, Pinnick R G, et al. Scattering of electromagnetic waves by composite spherical particles: Experiment
	and effective medium approximations [J]. Applied Optics, 1988, 27(12): 2396-2404.
[127]	Hage J I, Greenberg J M, Wang R T. Scattering from arbitrarily shaped particles: Theory and experiment [J]. Applied Optics,
19	91, 30(9): 1141-1152.
[128]	Zerull R H, Gustafson B Å S, Schulz K, et al. Scattering by aggregates with and without an absorbing mantle: Microwave
	analog experiments [J]. Applied Optics, 1993, 32(21): 4088-4100.
[129]	Fuller K A, Stephens G L, Jersak B D. Some advances in understanding light scattering by nonspherical particles [C]. 8th
	Conference of Atmospheric Radiation, 1994.
[130]	Wang R T, Van de Hulst H C. Application of the exact solution for scattering by an infinite cylinder to the estimation of
	scattering by a finite cylinder [J]. Applied Optics, 1995, 34(15): 2811-2821.