Simple spectra reduction algorithm used for the echelle spectrometer

Duan Fajie; Qin Yuqian; Fu Xiao; Ma Ling; Huang Tingting; Zhang Cong

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Simple spectra reduction algorithm used for the echelle spectrometer

机译：用于梯度光谱仪的简单光谱还原算法

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The structure of the echelle spectrometer equipped with a prism cross-dispersion element is very complex because of the nonlinear interaction between the prism and the echelle grating, which makes it difficult to extract the wavelength information from the two-dimensional spectrogram. According to the dispersion equations of both the grating and the prism direction, a wavelength calibration model is derived, establishing a relationship between the pixel position and the wavelength. It is found that a calibration process is always needed in repeated experiments due to the slight change of the spectrometer parameters caused by the environment. To solve this problem and improve the accuracy of the reduction, a simple spectral reduction algorithm involving calibration and compensation is proposed, which combines the least-square method and the polynomial fitting method. The algorithm was implemented with LabVIEW software, and the result showed that the absolute error of each wavelength was less than 0.02 nm. (C) 2018 Optical Society of America

机译：配备有棱镜交叉色散元件的梯度光谱仪的结构非常复杂，因为棱镜和偏振光栅之间的非线性相互作用，这使得难以从二维谱图中提取波长信息。根据光栅和棱镜方向的分散方程，导出波长校准模型，在像素位置和波长之间建立关系。结果发现，由于环境引起的光谱仪参数的略微变化，在重复的实验中始终需要校准过程。为了解决这个问题并提高减少的准确性，提出了一种简单的谱还原算法，包括校准和补偿，其结合了最小二乘法和多项式拟合方法。该算法用LabVIEW软件实现，结果表明每个波长的绝对误差小于0.02nm。（c）2018年光学学会

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来源
《Applied optics》 |2018年第30期|共7页
作者
Duan Fajie; Qin Yuqian; Fu Xiao; Ma Ling; Huang Tingting; Zhang Cong;
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Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

Tianjin Univ State Key Lab Precis Measuring Technol &

Instrume Tianjin 300072 Peoples R China;

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Simple spectra reduction algorithm used for the echelle spectrometer

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