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分析了直接探测测风激光雷达中的Fabry-Perot标准具透过率的非线性理论模型。根据实验测量数据,利用Levenberg-Marquardt算法对理论模型进行参数优化估值,获得测量数据的最佳拟合曲线。数值计算表明,pseudo-Voigt函数能快速且很好地近似计算Voigt线形。对于Fabry-Perot标准具的宽带光透过率频谱响应曲线,可以采用Voigt函数拟合,也可以采用pseudo-Voigt函数拟合;当透过率频谱响应曲线用于风速反演时,若采用pseudo-Voigt函数拟合会造成低于1 m/s的测速偏差,因此必须采用Voigt函数拟合。
The nonlinear theoretical model of Fabry-Perot etalon transmittance in direct detection wind-lidar is analyzed. According to the experimental measurement data, the Levenberg-Marquardt algorithm is used to optimize the theoretical model to obtain the best fitting curve of the measured data. Numerical calculations show that the pseudo-Voigt function approximates the Voigt line quickly and well. For the broadband spectral transmittance curve of Fabry-Perot etalon, Voigt function fitting or pseudo-Voigt function fitting can be used. When the transmittance spectral response curve is used for wind speed inversion, if the pseudo-Voigt function is used, -Voigt function fitting results in a speed error of less than 1 m / s, so Voigt function fitting must be used.