搜索

x
中国物理学会期刊

扫描波长调制光谱高精度复现分子吸收率函数方法

CSTR: 32037.14.aps.74.20241468

A method of high-precision reproduction of molecular absorbance profile by scanning wavelength modulation spectroscopy

CSTR: 32037.14.aps.74.20241468
PDF
HTML
导出引用
  • 基于低频三角波扫描加高频正弦波调制的扫描波长调制策略, 提出了一种高精度、免标定分子吸收率函数重构方法. 该方法利用谱线在扫描频率下对应的各次谐波信号重构出以该频率为中心、以调制深度为半宽度频域范围内的透过率信息, 结合低频扫描即可得到谱线透过率信息, 最后对频率重叠区域的透过率进行插值平均即可得到分子吸收率函数. 为验证该方法的测量精度, 利用CO2分子在6330.821 cm–1谱线对不同浓度CO2的吸收率函数进行重构, 并拟合得到浓度, 吸收率拟合残差标准差达到10–5, 强吸收与弱吸收的测量信噪比分别达到503与222. 3000次连续在线浓度测量结果分布直方图表明, 谐波重构法测量稳定性显著优于直接吸收法和二次谐波峰值法, 预期可为谱线参数的高精度标定以及复杂工业现场中弱吸收气体参数高精度在线监测提供新的可靠测量方法.

     

    A high-precision, calibration-free method of reconstructing molecular absorbance profile is introduced in this work. The method employs a scanning wavelength modulation strategy that integrates low-frequency triangular wave scanning with high-frequency sine wave modulation. Specifically, it utilizes harmonic signals corresponding to the spectral lines at the scanning frequency to reconstruct transmittance information centered around that frequency, with the modulation depth used as the half-width frequency range. Combining low-frequency scanning, the transmittance information of the spectral lines can be obtained accurately. Finally, through interpolating and averaging the transmittance in overlapping frequency regions, the molecular absorbance profile is reconstructed. The main content of this paper is divided into three key parts: theoretical derivation of the harmonic reconstruction method, numerical simulation, and experimental validation. In the theoretical derivation, the instantaneous laser frequency is represented as a parameter “x” by using a cosine function and is subsequently substituted into the Fourier expansion of the laser transmittance. Then the transmittance function is reconstructed based on Chebyshev polynomials. In the numerical simulation, we illustrate the complete process of the harmonic reconstruction method, including harmonic detection, data matrix reconstruction, and the interpolation and average of data matrix slices finally obtain the transmittance function. Subsequently, through numerical simulations, the systematic errors in the reconstructed transmittance functions with different harmonic orders and modulation depths are analyzed and compared. The results show that the systematic error decreases with the harmonic order increasing and increases with the modulation depth increasing. In the experimental verification, in order to evaluate the measurement accuracy of this method, we reconstruct the absorbance profiles for different concentrations of CO2 by using the 6330.821 cm–1 spectral line. The standard deviation of the fitting residual of the absorbance profile is on the order of 10–5. The signal-to-noise ratios for the strong absorption and weak absorption, are 503 and 222, respectively. We conduct 3000 consecutive on-line measurements and compare the harmonic reconstruction method with both the direct absorption method and the second harmonic peak method. Statistical analyses are made regarding the standard deviations and Gaussian distributions of the deduced concentration results. These results indicate that the standard deviation from the harmonic reconstruction method is less than half of those from the direct absorption method and the second harmonic peak method, demonstrating significantly superior measurement stability. This method is expected to become a reliable new method to measure spectral line parameters with high accuracy and monitor weakly absorbing gas parameters online in complex industrial environments.

     

    目录

    /

    返回文章
    返回