卷云空心冰晶后向散射特性仿真

doi:10.3969/j.issn.1673-6141.2025.03.010

大气与环境光学学报 ›› 2025, Vol. 20 ›› Issue (3): 367-384.doi: 10.3969/j.issn.1673-6141.2025.03.010

• “激光雷达新技术及其在大气环境中的应用”专辑 • 上一篇下一篇

卷云空心冰晶后向散射特性仿真

祝宣浩 1,2,3, 刘东 1,2,3*

1 中国科学院合肥物质科学研究院安徽光学精密机械研究所, 中国科学院大气光学重点实验室, 安徽合肥 230031; 2 中国科学技术大学研究生院科学岛分院, 安徽合肥 230026; 3 南湖之光实验室, 中国人民解放军国防科技大学, 湖南长沙 410073

收稿日期:2024-11-08 修回日期:2025-03-14 出版日期:2025-05-28 发布日期:2025-05-26
通讯作者: E-mail: dliu@aiofm.cas.cn E-mail:dliu@aiofm.cas.cn
作者简介:祝宣浩 (1998- ), 四川内江人, 博士研究生, 主要从事大气物理及探测方面的研究。E-mail: xhzhu98@mail.ustc.edu.cn
基金资助:
安徽省自然科学基金资助项目 (2208085UQ01), 合肥研究院院长基金拔尖人才培育项目 (BJPY2021A03)

Simulation of backscattering properties of hollow ice crystals in cirrus clouds

ZHU Xuanhao 1,2,3, LIU Dong 1,2,3*

1 Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China; 2 Science Island Branch of Graduate School, University of Science and Technology of China, Hefei 230026, China; 3 Nanhu Laser Laboratory, National University of Defense Technology, Changsha 410073, China

Received:2024-11-08 Revised:2025-03-14 Online:2025-05-28 Published:2025-05-26
Contact: Dong Liu E-mail:dliu@aiofm.cas.cn

摘要/Abstract

摘要： 卷云通常存在于6 km以上的高空，由非球形冰晶粒子组成，其对地球系统辐射平衡有着重要的影响作用。原位观测实验表明卷云中存在着大量的空心冰晶粒子，然而在激光雷达观测实验中，由于缺乏合适的正演模型，空心冰晶粒子的存在往往被忽略。本文基于前人的原位观测结果，建立了冰晶空心度与冰晶长度的经验关系式，克服了传统空心冰晶模型中采用固定空心度的缺点。文中详细介绍了光束分裂物理光学近似方法的推导和空心冰晶后向散射特性的计算过程。仿真研究发现532 nm和1064 nm波长下冰晶粒子的退偏比和色比与粒子大小具有依赖性，其中色比随着粒子增大而单调递减。

关键词: 卷云, 冰晶, 非球形粒子散射, 激光雷达

Abstract: Cirrus clouds, typically found at altitudes above 6 km, consist of non-spherical ice crystals and play a crucial role in the earth's radiation balance. Previous in-situ observation experiments have revealed a significant presence of hollow ice crystals in cirrus clouds. However, due to the absence of appropriate forward model, the existence of these hollow ice crystals is often overlooked in lidar observation studies. Based on prior in-situ observations, this paper establishes an empirical relationship between the hollowness and the length of hollow ice crystals, addressing the limitations of the fixed hollowness assumption used in previous hollow ice crystal models. The derivation of the physical optics approximation method based on beam-splitting and the calculation process for the backscattering properties of hollow ice crystals are introduced in detail. The simulation results show that both the wavelength depolarization ratio and the color ratio of ice crystals at 532 nm and 1064 nm are dependent on crystal size, and especially, the color ratio of ice crystal dooecreases monotonically with the increase of crystal size.

Key words: cirrus cloud, ice crystal, scattering properties of non-spherical particle, lidar

中图分类号:

P407.5
O442

祝宣浩, 刘东, . 卷云空心冰晶后向散射特性仿真[J]. 大气与环境光学学报, 2025, 20(3): 367-384.

ZHU Xuanhao , LIU Dong , . Simulation of backscattering properties of hollow ice crystals in cirrus clouds[J]. Journal of Atmospheric and Environmental Optics, 2025, 20(3): 367-384.

参考文献

[1] Baran A J. From the single-scattering properties of ice crystals to climate prediction: A way forward[J]. Atmospheric Research, 2012, 112: 45-69.
[2] Liou K N. Influence of Cirrus Clouds on Weather and Climate Processes - a Global Perspective[J]. Monthly Weather Review, 1986, 114(6): 1167-1199.
[3] Lawson R P, Woods S, Jensen E, et al. A Review of Ice Particle Shapes in Cirrus formed In Situ and in Anvils[J]. Journal of Geophysical Research-Atmospheres, 2019, 124(17-18): 10049-10090.
[4] Bailey M P, Hallett J. A Comprehensive Habit Diagram for Atmospheric Ice Crystals: Confirmation from the Laboratory, AIRS II, and Other Field Studies[J]. Journal of the Atmospheric Sciences, 2009, 66(9): 2888-2899.
[5] Yang P, Gao B-C, Baum B A, et al. Sensitivity of cirrus bidirectional reflectance to vertical inhomogeneity of ice crystal habits and size distributions for two Moderate-Resolution Imaging Spectroradiometer (MODIS) bands[J]. Journal of Geophysical Research: Atmospheres, 2001, 106(D15): 17267-17291.
[6] Mischenko M, Hovenier J W, Travis L D. Light scattering by nonspherical particles: Academic press San Diego, Calif., 2000.
[7] Jacobowitz H. A method for computing the transfer of solar radiation through clouds of hexagonal ice crystals[J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 1971, 11(6): 691 - 695.
[8] Yee K. Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media[J]. IEEE Transactions on Antennas and Propagation, 1966, 14(3): 302 - 307.
[9] Yang P, Liou K N. Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space[J]. Journal of the Optical Society of America a-Optics Image Science and Vision, 1996, 13(10): 2072 - 2085.
[10] Sun W B, Loeb N G, Tanev S, et al. Finite-difference time-domain solution of light scattering by an infinite dielectric column immersed in an absorbing medium[J]. Applied Optics, 2005, 44(10): 1977-1983.
[11] Macke A, Mishchenko M I, Muinonen K, et al. Scattering of light by large nonspherical particles: ray-tracing approximation versus T-matrix method[J]. Optics Letters, 1995, 20(19): 1934 - 1936.
[12] Mishchenko M I, Sassen K. Depolarization of lidar returns by small ice crystals: An application to contrails[J]. Geophysical Research Letters, 1998, 25(3): 309 - 312.
[13] Bi L, Yang P. Accurate simulation of the optical properties of atmospheric ice crystals with the invariant imbedding T-matrix method[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2014, 138: 17-35.
[14] Purcell E M, Pennypacker C R. Scattering and Absorption of Light by Nonspherical Dielectric Grains[J]. Astrophysical Journal, 1973, 186(2): 705-714.
[15] Draine B T, Flatau P J. Discrete-Dipole Approximation for Scattering Calculations[J]. Journal of the Optical Society of America a-Optics Image Science and Vision, 1994, 11(4): 1491-1499.
[16] Yurkin M A, Hoekstra A G. The discrete dipole approximation: An overview and recent developments[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2007, 106(1-3): 558-589.
[17] Cai Q, Liou K N. Polarized-Light Scattering by Hexagonal Ice Crystals - Theory[J]. Applied Optics, 1982, 21(19): 3569 - 3580.
[18] Mishchenko M, Macke A. Incorporation of physical optics effects and computation of the Legendre expansion for ray-tracing phase functions involving δ-function transmission[J]. Journal of Geophysical Research-Atmospheres, 1998, 103(D2): 1799-1805.
[19] Noel V, Ledanois G, Chepfer H, et al. Computation of a single-scattering matrix for nonspherical particles randomly or horizontally oriented in space[J]. Applied Optics, 2001, 40(24): 4365 - 4375.
[20] Borovoi A G, Kustova N V, Oppel U G. Light backscattering by hexagonal ice crystal particles in the geometrical optics approximation[J]. Optical Engineering, 2005, 44(7): 071208.
[21] Borovoi A G, Grishin I A. Scattering matrices for large ice crystal particles[J]. Journal of the Optical Society of America a-Optics Image Science and Vision, 2003, 20(11): 2071 - 2080.
[22] Borovoi A, Konoshonkin A, Kustova N. The physical-optics approximation and its application to light backscattering by hexagonal ice crystals[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2014, 146: 181-189.
[23] Konoshonkin A, Kustova N, Borovoi A. Beam-splitting code for light scattering by ice crystal particles within geometric-optics approximation[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2015, 164: 175-183.
[24] Konoshonkin A, Borovoi A, Kustova N, et al. Light scattering by ice crystals of cirrus clouds: From exact numerical methods to physical-optics approximation[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2017, 195: 132-140.
[25] Konoshonkin A, Borovoi A, Kustova N, et al. Power laws for backscattering by ice crystals of cirrus clouds[J]. Opt Express, 2017, 25(19): 22341-22346.
[26] Okamoto H, Sato K, Borovoi A, et al. Interpretation of lidar ratio and depolarization ratio of ice clouds using spaceborne high-spectral-resolution polarization lidar[J]. Opt Express, 2019, 27(25): 36587 - 36600.
[27] Okamoto H, Sato K, Borovoi A, et al. Wavelength dependence of ice cloud backscatter properties for space-borne polarization lidar applications[J]. Opt Express, 2020, 28(20): 29178-29191.
[28] Schmitt C G, Heymsfield A J. On the occurrence of hollow bullet rosette- and column-shaped ice crystals in midlatitude cirrus[J]. Journal of the Atmospheric Sciences, 2007, 64(12): 4514-4519.
[29] Zhu X H, Wang Z Z, Konoshonkin A, et al. Backscattering properties of randomly oriented hexagonal hollow columns for lidar application[J]. Optics Express, 2023, 31(21): 35257-35271.
[30] Zhu X H, Wang Z Z, Liu D, et al. The First Global Insight of Cirrus Clouds Characterized by Hollow Ice Crystals From Space-Borne Lidar[J]. Geophysical Research Letters, 2024, 51(10).
[31] Del Guasta M. Simulation of LIDAR returns from pristine and deformed hexagonal ice prisms in cold cirrus by means of "face tracing"[J]. Journal of Geophysical Research-Atmospheres, 2001, 106(D12): 12589-12602.
[32] Bi L, Yang P, Kattawar G W, et al. Scattering and absorption of light by ice particles: Solution by a new physical-geometric optics hybrid method[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2011, 112(9): 1492-1508.
[33] Sun B Q, Yang P, Kattawar G W, et al. Physical-geometric optics method for large size faceted particles[J]. Optics Express, 2017, 25(20): 24044-24060.
[34] Timofeev D, Konoshonkin A, Kustova N. Modified Beam-Splitting 1 (MBS-1) Algorithm for solving the problem of light scattering by nonconvex atmospheric ice particles[J]. Atmospheric and Oceanic Optics, 2018, 31: 642 - 649.
[35] Kustova N, Konoshonkin A, Kokhanenko G, et al. Lidar backscatter simulation for angular scanning of cirrus clouds with quasi-horizontally oriented ice crystals[J]. Optics Letters, 2022, 47(15): 3648-3651.
[36] Konoshonkin A, Borovoi A, Kustova N, et al. Light scattering by atmospheric ice crystals within the physical optics approximation[M]. FIZMATLIT: Moscow, Russia, 2022: 382.
[37] Kustova N, Konoshonkin A, Shishko V, et al. Depolarization Ratio for Randomly Oriented Ice Crystals of Cirrus Clouds[J]. Atmosphere, 2022, 13(10).
[38] Yang P, Liou K N. Light scattering by hexagonal ice crystals: solutions by a ray-by-ray integration algorithm[J]. Journal of the Optical Society of America a-Optics Image Science and Vision, 1997, 14(9): 2278-2289.
[39] Tai C-T, Antennas I, Propagation S, et al. Dyadic Green functions in electromagnetic theory[M]. 2nd. Piscataway, NJ: IEEE Press, 1994.
[40] Mishchenko M I, Travis L D, Lacis A A. Scattering, absorption, and emission of light by small particles[M]. Cambridge university press, 2002.
[41] Franz W. Zur Formulierung des Huygensschen Prinzips[J]. Zeitschrift für Naturforschung A, 1948, 3(8-11): 500-506.
[42] Karczewski B, Wolf E. Comparison of Three Theories of Electromagnetic Diffraction at an Aperture.* Part II: The Far Field[J]. JOSA, 1966, 56(9): 1214-1219.
[43] Konoshonkin A V, Kustova N V, Borovoi A G, et al. Light scattering by ice crystals of cirrus clouds: comparison of the physical optics methods[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2016, 182: 12-23.
[44] Vesperinas M N. Scattering and diffraction in physical optics[M]. World Scientific Publishing Company, 2006.
[45] Borovoi A, Konoshonkin A, Kustova N. Backscattering reciprocity for large particles[J]. Optics Letters, 2013, 38(9): 1485-1487.
[46] Chiruta M. The capacitance of solid and hollow hexagonal ice columns[J]. Geophysical Research Letters, 2005, 32(5): L05803.
[47] Yang P, Zhang Z B, Kattawar G W, et al. Effect of cavities on the optical properties of bullet rosettes: Implications for active and passive remote sensing of ice cloud properties[J]. Journal of Applied Meteorology and Climatology, 2008, 47(9): 2311-2330.
[48] Takano Y, Liou K N. Radiative-Transfer in Cirrus Clouds .3. Light-Scattering by Irregular Ice Crystals[J]. Journal of the Atmospheric Sciences, 1995, 52(7): 818-837.
[49] Yang P, Bi L, Baum B A, et al. Spectrally Consistent Scattering, Absorption, and Polarization Properties of Atmospheric Ice Crystals at Wavelengths from 0.2 to 100 μm[J]. Journal of the Atmospheric Sciences, 2013, 70(1): 330 - 347.
[50] Mitchell D L, Arnott W P. A model predicting the evolution of ice particle size spectra and radiative properties of cirrus clouds. Part II: Dependence of absorption and extinction on ice crystal morphology[J]. Journal of Atmospheric Sciences, 1994, 51(6): 817 - 832.
[51] Bi L, Yang P. Improved ice particle optical property simulations in the ultraviolet to far-infrared regime[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2017, 189: 228-237.
[52] Noel V, Ledanois G, Chepfer H, et al. Computation of a single-scattering matrix for nonspherical particles randomly or horizontally oriented in space[J]. Applied Optics, 2001, 40(24): 4365-4375.
[53] Hu Y X, Winker D, Vaughan M, et al. CALIPSO/CALIOP Cloud Phase Discrimination Algorithm[J]. Journal of Atmospheric and Oceanic Technology, 2009, 26(11): 2293-2309.
[54] Wehr T, Kubota T, Tzeremes G, et al. The EarthCARE mission – science and system overview[J]. Atmospheric Measurement Techniques, 2023, 16(15): 3581-3608.
[55] Zha C, Bu L, Li Z, et al. Aerosol optical property measurement using the orbiting high-spectral-resolution lidar on board the DQ-1 satellite: retrieval and validation[J]. Atmospheric Measurement Techniques, 2024, 17(14): 4425-4443.
[56] Hu Y. Depolarization ratio–effective lidar ratio relation: Theoretical basis for space lidar cloud phase discrimination[J]. Geophysical Research Letters, 2007, 34(11).
[57] Kokhanenko G P, Balin Y S, Klemasheva M G, et al. Scanning polarization lidar LOSA-M3: opportunity for research of crystalline particle orientation in the ice clouds[J]. Atmospheric Measurement Techniques, 2020, 13(3): 1113-1127.
[58] Borovoi A, Konoshonkin A, Kustova N, et al. Contribution of corner reflections from oriented ice crystals to backscattering and depolarization characteristics for off-zenith lidar profiling[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2018, 212: 88-96.
[59] Noel V, Roy G, Bissonnette L, et al. Analysis of lidar measurements of ice clouds at multiple incidence angles[J]. Geophysical Research Letters, 2002, 29(9).
[60] Noel V, Sassen K. Study of planar ice crystal orientations in ice clouds from scanning polarization lidar observations[J]. Journal of Applied Meteorology, 2005, 44(5): 653-664.
[61] Saito M, Yang P. Generalization of Atmospheric Nonspherical Particle Size: Interconversions of Size Distributions and Optical Equivalence[J]. Journal of the Atmospheric Sciences, 2022, 79(12): 3333 - 3349.
[62] Okamoto H, Iwasaki S, Yasui M, et al. An algorithm for retrieval of cloud microphysics using 95-GHz cloud radar and lidar[J]. Journal of Geophysical Research-Atmospheres, 2003, 108(D7).
[63] Stephens G L, Tsay S C, Stackhouse P W, et al. The Relevance of the Microphysical and Radiative Properties of Cirrus Clouds to Climate and Climatic Feedback[J]. Journal of the Atmospheric Sciences, 1990, 47(14): 1742 - 1753.

卷云空心冰晶后向散射特性仿真

Simulation of backscattering properties of hollow ice crystals in cirrus clouds

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