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Temperature and Water Vapor Weighting Functions from Radiative Transfer Equation with Surface Emissivity and Solar Reflectivity


doi: 10.1007/BF02658162

  • Linearization of Radiative Transfer Equation (RTE) is the key step in physical retrieval of atmospheric tempera-ture and moisture profiles from InfRared (IR) sounder observations, In this paper, the successive forms of tempera-ture and water vapor mixing ratio component weighting functions are derived by applying one term variation method to RTE with surface emissivity and solar reflectivity contained. Retrivals of temperature and water vapor mixing ra-tio profiles from simulated Atmospheric Infrared Sounder (AIRS) observations with surface emissivity and solar reflectivity arc presented.
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    [2] F. Momo TEMGOUA, L. Akana NGUIMDO, D. NJOMO, 2024: Two-Stream Approximation to the Radiative Transfer Equation: A New Improvement and Comparative Accuracy with Existing Methods, ADVANCES IN ATMOSPHERIC SCIENCES, 41, 278-292.  doi: 10.1007/s00376-023-2257-9
    [3] ZHANG Lei, QIU Chongjian, HUANG Jianping, 2008: A Three-Dimensional Satellite Retrieval Method for Atmospheric Temperature and Moisture Profiles, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 897-904.  doi: 10.1007/s00376-008-0897-4
    [4] Li Jun, Lu Daren, 1997: Nonlinear Retrieval of Atmospheric Ozone Profile from Solar Backscatter Ultraviolet Measurements: Theory and Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 14, 473-480.  doi: 10.1007/s00376-997-0065-2
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    [6] Wu Beiying, John Gille, 1999: Retrieval of Tropospheric CO Profiles Using Correlation Radiometer. II: Effects of Other Gases and the Retrieval in Cloudy Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 507-522.  doi: 10.1007/s00376-999-0027-y
    [7] Li Jun, Huang Hung-Lung, 1994: Optimal Use of High Resolution Infrared Sounder Channels in Atmospheric Profile Retrieval, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 271-276.  doi: 10.1007/BF02658145
    [8] Qin XU, Binbin ZHOU, 2003: Retrieving Soil Water Contents from Soil Temperature Measurements by Using Linear Regression, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 849-858.  doi: 10.1007/BF02915509
    [9] YAO Zhigang, CHEN Hongbin, LIN Longfu, 2005: Retrieving Atmospheric Temperature Profiles from AMSU-A Data with Neural Networks, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 606-616.  doi: 10.1007/BF02918492
    [10] Yang Jingmei, Qiu Jinhuan, 1992: An Easy Algorithm for Solving Radiative Transfer Equation in Clear Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 483-490.  doi: 10.1007/BF02677081
    [11] Wei Ming, Dang Renqing, Ge Wenzhong, Takao Takeda, 1998: Retrieval Single-Doppler Radar Wind with Variational Assimilation Method-Part I: Objective Selection of Functional Weighting Factors, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 553-568.  doi: 10.1007/s00376-998-0032-6
    [12] ZHANG Xuanze, ZHENG Xiaogu, YANG Chi, and LUO San, 2013: A New Weighting Function for Estimating Microwave Sounding Unit Channel 4 Temperature Trends Simulated by CMIP5 Climate Models, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 779-789.  doi: 10.1007/s00376-013-2152-x
    [13] DAI Qiudan, SUN Shufen, 2006: A Generalized Layered Radiative Transfer Model in the Vegetation Canopy, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 243-257.  doi: 10.1007/s00376-006-0243-7
    [14] DAI Qiudan, SUN Shufen, 2007: A Simplified Scheme of the Generalized Layered Radiative Transfer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 213-226.  doi: 10.1007/s00376-007-0213-8
    [15] Feng ZHANG, Yadong LEI, Jia-Ren YAN, Jian-Qi ZHAO, Jiangnan LI, Qiudan DAI, 2017: A New Parameterization of Canopy Radiative Transfer for Land Surface Radiation Models, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 613-622.  doi: 10.1007/s00376-016-6139-2
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    [17] 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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    [19] HONG Gang, Georg HEYGSTER, Klaus KUNZI, LI Wanbiao, ZHU Yuanjing, ZHAO Bolin, 2003: Retrieval of Microwave Surface Emissivities at TMI Frequencies in Shouxian, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 253-259.  doi: 10.1007/s00376-003-0011-x
    [20] ZHANG Jie, Zhenglong LI, Jun LI, Jinglong LI, 2014: Ensemble Retrieval of Atmospheric Temperature Profiles from AIRS, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 559-569.  doi: 10.1007/s00376-013-3094-z

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Manuscript History

Manuscript received: 10 October 1994
Manuscript revised: 10 October 1994
通讯作者: 陈斌, bchen63@163.com
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Temperature and Water Vapor Weighting Functions from Radiative Transfer Equation with Surface Emissivity and Solar Reflectivity

  • 1. Cooperative Institute for Meteorological Satellite Studies, Space Science and Engineering Center, University of Wisconsin-Madison. Madison, WI 53706 U.S.A.

Abstract: Linearization of Radiative Transfer Equation (RTE) is the key step in physical retrieval of atmospheric tempera-ture and moisture profiles from InfRared (IR) sounder observations, In this paper, the successive forms of tempera-ture and water vapor mixing ratio component weighting functions are derived by applying one term variation method to RTE with surface emissivity and solar reflectivity contained. Retrivals of temperature and water vapor mixing ra-tio profiles from simulated Atmospheric Infrared Sounder (AIRS) observations with surface emissivity and solar reflectivity arc presented.

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