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Volume 2 Issue 4

Oct.  1985

Article Contents

CALCULATION ON THE LIGHT SCATTERING FUNCTION OF HEXAGONAL ICE CRYSTALS


doi: 10.1007/BF02678743

  • Hexagonal ice crystal is a basic form of the particles in cirrus. The emphasis in this paper is on discussing the computational results of scattering phase matrices for infrared absorptive band by making use of the model developed by the authors. Comparisons have been made between infrared and visible light as well as between hexagonal columns and plates and equivalent spheriods and spheres. It is found that the effects of light absorption on phase function may cause the decreases of scattering energy in side direction and the directions near backscattering, and weaken halo and rainbow peaks which are induced by the refractions and internal reflections. There is a general agreement in the phase functions for ice crystals with different shapes. However, the scattering intensity in side direction for spheres and in backward and backside directions for spheroids is weaker as compared with hexagons. It is believed that these features would, doubtless, have influences on the detection of cirrus by laser and radiation transfer in the atmosphere.
  • [1] Ping YANG, Kuo-Nan LIOU, Lei BI, Chao LIU, Bingqi YI, Bryan A. BAUM, 2015: On the Radiative Properties of Ice Clouds: Light Scattering, Remote Sensing, and Radiation Parameterization, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 32-63.  doi: 10.1007/s00376-014-0011-z
    [2] Liu Chunlei, Yao Keya, 1996: Calculation of Ice Crystal Diffraction, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 340-348.  doi: 10.1007/BF02656851
    [3] Chunsheng ZHAO, Yingli YU, Ye KUANG, Jiangchuan TAO, Gang ZHAO, 2019: Recent Progress of Aerosol Light-scattering Enhancement Factor Studies in China, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 1015-1026.  doi: 10.1007/s00376-019-8248-1
    [4] Huang Shihong, Qian Changguo, Wang Weimin, Li Ruxiang, 1994: On Mechanisms of Nucleation of Ice Crystals by Aerodynamic Cooling, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 57-64.  doi: 10.1007/BF02656994
    [5] Wang Angsheng, N. Fukuta, 1985: A QUANTITATIVE STUDY ON THE GROWTH LAW OF ICE CRYSTALS, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 45-53.  doi: 10.1007/BF03179736
    [6] Mao Jietai, Luan Shengji, 1985: DERIVATION OF SCATTERING PHASE FUNCTION FROM CLEAR SKY BRIGHTNESS DISTRIBUTION, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 129-131.  doi: 10.1007/BF03179745
    [7] Wang Angsheng, 1987: THE QUANTITATIVE GROWTH LAW OF ICE CRYSTALS AND ITS NEW MODEL, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 414-431.  doi: 10.1007/BF02656742
    [8] Richard L. Pitter, Renyi Zhang, 1991: Numerical Simulation of the Scavenging Rates of Ice Crystals of Various Microphysical Characteristics, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 175-200.  doi: 10.1007/BF02658093
    [9] Yao Keya, Liu Chunlei, 1996: ICE Particle Size and Shape Effect on Solar Energy Scattering Angular Distribution, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 505-510.  doi: 10.1007/BF03342040
    [10] Yun QIAN, Teppei J. YASUNARI, Sarah J. DOHERTY, Mark G. FLANNER, William K. M. LAU, MING Jing, Hailong WANG, Mo WANG, Stephen G. WARREN, Rudong ZHANG, 2015: Light-absorbing Particles in Snow and Ice: Measurement and Modeling of Climatic and Hydrological impact, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 64-91.  doi: 10.1007/s00376-014-0010-0
    [11] YANG Shuai, GAO Shouting, LU Chungu, 2014: A Generalized Frontogenesis Function and Its Application, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1065-1078.  doi: 10.1007/s00376-014-3228-y
    [12] Ye Weizuo, 1986: THE APPLICATION OF DELTA FUNCTION TO THE ALBEDO OF CLOUDS, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 245-251.  doi: 10.1007/BF02682558
    [13] ZHAO Jian-Qi, SHI Guangyu, CHE Huizheng, CHENG Guangguang, 2006: Approximations of the Scattering Phase Functions of Particles, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 802-808.  doi: 10.1007/s00376-006-0802-y
    [14] Youmin TANG, Jaison AMBANDAN, Dake CHEN, , , 2014: Nonlinear Measurement Function in the Ensemble Kalman Filter, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 551-558.  doi: 10.1007/s00376-013-3117-9
    [15] Yi ZHANG, Rucong YU, Jian LI, 2017: Implementation of a Conservative Two-step Shape-Preserving Advection Scheme on a Spherical Icosahedral Hexagonal Geodesic Grid, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 411-427.  doi: 10.1007/s00376-016-6097-8
    [16] HUANG Sixun, CAO Xiaoqun, DU Huadong, WANG Tingfang, XIANG Jie, 2006: Retrieval of Atmospheric and Oceanic Parameters and the Relevant Numerical Calculation, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 106-117.  doi: 10.1007/s00376-006-0011-8
    [17] Zhang Fengying, Ma Xialin, 1986: CALCULATION OF UPDATED COEFFICIENTS FOR ATMOSPHERIC TEMPERATURE RETRIEVAL, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 150-161.  doi: 10.1007/BF02682549
    [18] YANG Shuai, GAO Shouting, Chungu LU, 2015: Investigation of the Mei-yu Front Using a New Deformation Frontogenesis Function, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 635-647.  doi: 10.1007/s00376-014-4147-7
    [19] HU Yongyun, 2007: Probability Distribution Function of a Forced Passive Tracer in the Lower Stratosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 163-180.  doi: 10.1007/s00376-007-0163-1
    [20] DUAN Minzheng, Qilong MIN, LU Daren, 2010: A Polarized Radiative Transfer Model Based on Successive Order of Scattering, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 891-900.  doi: 10.1007/s00376-009-9049-8

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Manuscript History

Manuscript received: 10 October 1985
Manuscript revised: 10 October 1985
通讯作者: 陈斌, bchen63@163.com
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CALCULATION ON THE LIGHT SCATTERING FUNCTION OF HEXAGONAL ICE CRYSTALS

  • 1. LanzhouInstituteofPlateauAtmosphericPhysics,AcademiaSinica,Lanzhou,DepartmentofMeteorology,UniversityofUtah,U.S.A.

Abstract: Hexagonal ice crystal is a basic form of the particles in cirrus. The emphasis in this paper is on discussing the computational results of scattering phase matrices for infrared absorptive band by making use of the model developed by the authors. Comparisons have been made between infrared and visible light as well as between hexagonal columns and plates and equivalent spheriods and spheres. It is found that the effects of light absorption on phase function may cause the decreases of scattering energy in side direction and the directions near backscattering, and weaken halo and rainbow peaks which are induced by the refractions and internal reflections. There is a general agreement in the phase functions for ice crystals with different shapes. However, the scattering intensity in side direction for spheres and in backward and backside directions for spheroids is weaker as compared with hexagons. It is believed that these features would, doubtless, have influences on the detection of cirrus by laser and radiation transfer in the atmosphere.

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