Uncertainty Evaluation of Atmospheric Temperature Retrieval using Rayleigh Lidar based on the Optimal Estimation Method
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摘要: 最优估计法(OEM)作为一种新型的反演方法,在激光雷达探测大气环境参数中具有重要应用价值。为了表征基于OEM方法的瑞利激光雷达反演大气温度结果的可靠性,本文推导了OEM不确定度公式,明确了OEM反演结果的不确定度来源,利用瑞利激光雷达雷达方程模拟回波光子数廓线,计算了相应的中层大气温度和不确定度,得到在OEM反演过程中的主要不确定度来源,即参考压强不确定度和噪声不确定度。利用蒙特卡洛方法(MCM)建立OEM不确定度验证框架,对不同不确定度来源产生的不确定度数值进行了验证,结果表明两种不同方法计算的不确定度数值在海拔高度85km以下一致性良好,证明OEM不确定度计算数值的准确性。此外,基于OEM方法对瑞利激光雷达的实测数据进行反演,并完成了不确定度分析,为OEM方法在激光雷达大气环境探测领域的推广使用提供了依据。Abstract: As a new retrieval method, the Optimal Estimation Method (OEM) is playing an increasingly important role in detecting the atmospheric environment by lidar. To characterize the reliability of the atmospheric temperature inversion results by lidar, the OEM uncertainty formula was derived and the sources of uncertainty was clarified. Based on the simulated echo photon profiles of the Rayleigh lidar, the middle atmospheric temperature and the corresponding uncertainty was calculated, which demonstrated that the main uncertainty sources in the OEM inversion process are the reference pressure uncertainty and noise uncertainty. Using the Monte Carlo method (MCM), the OEM uncertainty verification framework was established and the uncertainty values generated by different sources of uncertainty were verified. Results show that the uncertainty calculated by two different methods are consistent below the altitude of 85 km, proving the accuracy of the OEM uncertainty theories. In addition, temperature retrieval based on measured results by Rayleigh lidar was performed and the uncertainty analysis was accomplished, which paves the way for the applications of lidar in monitoring the atmospheric environment.
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