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Volume 5 Issue 2

Apr.  1988

Article Contents

SENSITIVITY OF LIDAR EQUATION SOLUTION TO BOUNDA-RY VALUES AND DETERMINATION OF THE VALUES


doi: 10.1007/BF02656784

  • An analytical dependence of the optical depth solution to lidar equation on boundary values was con-firmed. According to the dependence this paper analyzed the sensitivity of lidar equation solutions obtained by forward and backward integration algorithms to the boundary values and quantitatively expounded an error limit to the boundary values under a given inversion accuracy. Furthermore, this paper presented a method for determination of the far-end boundary value in the case of inhomogeneous atmosphere, improving the accuracy of lidar equation solution.
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    [2] Lu WANG, Wei QIANG, Haiyun XIA, Tianwen WEI, Jinlong YUAN, Pu JIANG, 2021: Robust Solution for Boundary Layer Height Detections with Coherent Doppler Wind Lidar, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1920-1928.  doi: 10.1007/s00376-021-1068-0
    [3] Ying XU, Xuejie GAO, Filippo GIORGI, Botao ZHOU, Ying SHI, Jie WU, Yongxiang ZHANG, 2018: Projected Changes in Temperature and Precipitation Extremes over China as Measured by 50-yr Return Values and Periods Based on a CMIP5 Ensemble, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 376-388.  doi: 10.1007/s00376-017-6269-1
    [4] D. R. Chakraborty, P.S. Salvekar, 1989: An Efficient Accurate Direct Solution of Poisson’s Equation for Computation of Meteorological Parameters, ADVANCES IN ATMOSPHERIC SCIENCES, 6, 501-508.  doi: 10.1007/BF02659084
    [5] Qiu Jinhuan, 1999: Constraint Inversion Algorithm of Lidar Equation for Deriving Aerosol Optical Property, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 216-228.  doi: 10.1007/BF02973083
    [6] Chen Jiabin, Wang Jun, 1996: Studies on Non-interpolating Semi-Lagrangian Scheme and Numerical Solution to KdV Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 265-268.  doi: 10.1007/BF02656869
    [7] Lei YU, Jiping LIU, Yongqi GAO, Qi SHU, 2022: A Sensitivity Study of Arctic Ice-Ocean Heat Exchange to the Three-Equation Boundary Condition Parametrization in CICE6, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 1398-1416.  doi: 10.1007/s00376-022-1316-y
    [8] P.C.S. Devara, P. Ernest Raj, 1993: Lidar Measurements of Aerosols in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 365-378.  doi: 10.1007/BF02658142
    [9] Qiu Jinhuan, Lu Daren, 1991: On Lidar Application for Remote Sensing of the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 369-378.  doi: 10.1007/BF02919620
    [10] Gao Shouting, Lei Ting, 2000: Streamwise Vorticity Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 339-347.  doi: 10.1007/s00376-000-0027-4
    [11] ZHONG Zhong, ZHAO Ming, SU Bingkai, TANG Jianping, 2003: On the Determination and Characteristics of Effective Roughness Length for Heterogeneous Terrain, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 71-76.  doi: 10.1007/BF03342051
    [12] Li Guoping, Duan Tingyang, Wan Jun, Gong Yuanfa, Shigenori Haginoya, Chen Longxun, Li Weiliang, 1996: Determination of the Drag Coefficient over the Tibetan Plateau, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 511-518.  doi: 10.1007/BF03342041
    [13] S. Panchev, 1990: An Exact Solution for Two-Dimensional Frictionless Motion in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 137-141.  doi: 10.1007/BF02919151
    [14] He Jianzhong, He Jinhai, 1993: Nondispersive Periodic Solution of a Barotropic Semi-Geostrophic Model, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 465-474.  doi: 10.1007/BF02656971
    [15] Baofeng JIAO, Lingkun RAN, Na LI, Ren CAI, Tao QU, Yushu ZHOU, 2023: Comparative Analysis of the Generalized Omega Equation and Generalized Vertical Motion Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 856-873.  doi: 10.1007/s00376-022-1435-5
    [16] Ji Zhongzhen, Wang Bin, 1997: Multispectrum Method and the Computation of Vapor Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 14, 563-568.  doi: 10.1007/s00376-997-0074-1
    [17] Xuan LI, Ruiqiang DING, Jianping LI, 2019: Determination of the Backward Predictability Limit and Its Relationship with the Forward Predictability Limit, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 669-677.  doi: 10.1007/s00376-019-8205-z
    [18] Marek PÓŁROLNICZAK, Leszek KOLENDOWICZ, Bartosz CZERNECKI, Mateusz TASZAREK, Gabriella TÓTH, 2021: Determination of Surface Precipitation Type Based on the Data Fusion Approach, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 387-399.  doi: 10.1007/s00376-020-0165-9
    [19] Zhao Yanzeng, Hu Yuliang, Zhao Hongjie, 1984: INTEGRATION METHOD AND RATIO METHOD FOR RETRIEVING EXTINCTION COEFFICIENT FROM LIDAR SIGNALS, ADVANCES IN ATMOSPHERIC SCIENCES, 1, 53-75.  doi: 10.1007/BF03187616
    [20] P.C.S. Devara, P. Ernest Raj, 1992: Atmospheric NO2 Concentration Measurements Using Differential Absorption Lidar Technique, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 73-82.  doi: 10.1007/BF02656932

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Manuscript History

Manuscript received: 10 April 1988
Manuscript revised: 10 April 1988
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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SENSITIVITY OF LIDAR EQUATION SOLUTION TO BOUNDA-RY VALUES AND DETERMINATION OF THE VALUES

  • 1. Institute of Atmospheric Physics, Academia Sinica, Beijing

Abstract: An analytical dependence of the optical depth solution to lidar equation on boundary values was con-firmed. According to the dependence this paper analyzed the sensitivity of lidar equation solutions obtained by forward and backward integration algorithms to the boundary values and quantitatively expounded an error limit to the boundary values under a given inversion accuracy. Furthermore, this paper presented a method for determination of the far-end boundary value in the case of inhomogeneous atmosphere, improving the accuracy of lidar equation solution.

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