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Wavelength calibration model for prism-type echelle spectrometer by reversely solving prism's refractive index in real time

机译：实时反演棱镜折射率的棱镜型埃歇尔光谱仪波长校准模型

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摘要

In an echelle spectrometer equipped with a prism cross-dispersion element, wavelength calibration is very difficult because of the complex, nonlinear interaction between the prism and the echelle grating. From the spectrometer geometry and the dispersion equations for the prism and the grating, a detailed mathematical model for wavelength calibration is derived that fits the refractive index of the prism in real time. An expression relating the refractive index, wavelength, and image coordinates is constructed, and standard wavelength sources and image positions are adopted to timely calculate the refractive index, which is affected by ambient factors such as temperature and air pressure. Experimental results indicate that the fitting accuracy of the refractive index in real time approaches 10(-4), while the wavelength accuracy approaches 10(-3) nm for the entire spectral range. (C) 2016 Optical Society of America
机译：在配备有棱镜交叉色散元件的echelle光谱仪中，由于棱镜和echelle光栅之间复杂，非线性的相互作用，因此波长校准非常困难。从光谱仪的几何形状以及棱镜和光栅的色散方程式，可以得出详细的波长校准数学模型，该模型可以实时拟合棱镜的折射率。构造与折射率，波长和图像坐标相关的表达式，并采用标准波长源和图像位置来及时计算折射率，该折射率受环境因素（例如温度和气压）的影响。实验结果表明，在整个光谱范围内，折射率的实时拟合精度接近10（-4），而波长精度接近10（-3）nm。 （C）2016美国眼镜学会

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