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Volume 29 Issue 3

May  2012

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2012 >  29(3): 599-610

A Parameterized yet Accurate Model of Ozone and Water Vapor Transmittance in the Solar-to-near-infrared Spectrum

  • 1.

    Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029


doi: 10.1007/s00376-011-1076-6

  • A parameterized transmittance model (PTR) for ozone and water vapor monochromatic transmittance calculation in the solar-to-near-infrared spectrum 0.3--4 μm with a spectral resolution of 5 cm-1 was developed based on the transmittance data calculated by Moderate-resolution Transmittance model (MODTRAN). Polynomial equations were derived to represent the transmittance as functions of path length and airmass for every wavelength~based on the least-squares method. Comparisons between the transmittances calculated using PTR and MODTRAN were made, using the results of MODTRAN as a reference. Relative root-mean-square error (RMSre) was 0.823% for ozone transmittance. RMSre values were 8.84% and 3.48% for water vapor transmittance ranges of 1--1×10-18 and 1--1×10-3, respectively. In addition, the Stratospheric Aerosol and Gas Experiment II (SAGEII) ozone profiles and University of Wyoming (UWYO) water vapor profiles were applied to validate the applicability of PTR model. RMSre was 0.437% for ozone transmittance. RMSre values were 8.89% and 2.43% for water vapor transmittance ranges of 1--1×10-18 and 1--1×10-6, respectively. Furthermore, the optical depth profiles calculated using the PTR model were compared to the results of MODTRAN. Absolute RMS errors (RMSab) for ozone optical depths were within 0.0055 and 0.0523 for water vapor at all of the tested altitudes. Finally, the comparison between the solar heating rate calculated from the transmittance of PTR and Line-by-Line radiative transfer model (LBLRTM) was performed, showing a maximum deviation of 0.238 K d-1 (6% of the corresponding solar heating rate calculated using LBLRTM). In the troposphere all of the deviations were within 0.08 K d-1. The computational speed of PTR model is nearly two orders of magnitude faster than that of MODTRAN.
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    • Manuscript History

    Manuscript received: 10 May 2012
    Manuscript revised: 10 May 2012
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

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    A Parameterized yet Accurate Model of Ozone and Water Vapor Transmittance in the Solar-to-near-infrared Spectrum

    • 1. Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
    • Manuscript received: 2012-05-10
    • Manuscript revised: 2012-05-10

    Abstract: A parameterized transmittance model (PTR) for ozone and water vapor monochromatic transmittance calculation in the solar-to-near-infrared spectrum 0.3--4 μm with a spectral resolution of 5 cm-1 was developed based on the transmittance data calculated by Moderate-resolution Transmittance model (MODTRAN). Polynomial equations were derived to represent the transmittance as functions of path length and airmass for every wavelength~based on the least-squares method. Comparisons between the transmittances calculated using PTR and MODTRAN were made, using the results of MODTRAN as a reference. Relative root-mean-square error (RMSre) was 0.823% for ozone transmittance. RMSre values were 8.84% and 3.48% for water vapor transmittance ranges of 1--1×10-18 and 1--1×10-3, respectively. In addition, the Stratospheric Aerosol and Gas Experiment II (SAGEII) ozone profiles and University of Wyoming (UWYO) water vapor profiles were applied to validate the applicability of PTR model. RMSre was 0.437% for ozone transmittance. RMSre values were 8.89% and 2.43% for water vapor transmittance ranges of 1--1×10-18 and 1--1×10-6, respectively. Furthermore, the optical depth profiles calculated using the PTR model were compared to the results of MODTRAN. Absolute RMS errors (RMSab) for ozone optical depths were within 0.0055 and 0.0523 for water vapor at all of the tested altitudes. Finally, the comparison between the solar heating rate calculated from the transmittance of PTR and Line-by-Line radiative transfer model (LBLRTM) was performed, showing a maximum deviation of 0.238 K d-1 (6% of the corresponding solar heating rate calculated using LBLRTM). In the troposphere all of the deviations were within 0.08 K d-1. The computational speed of PTR model is nearly two orders of magnitude faster than that of MODTRAN.

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