The virtually imaged phased array (VIPA) spectrometer uses the orthogonal dispersion method and has the advantages of compact structure, high spectral resolution, and wide wavelength coverage. It has been widely used in different fields. However, due to the non-linear dispersion of the VIPA etalon and the cross-dispersion structure of the VIPA spectrometer, simple and high-accuracy wavelength calibration remains a challenge. In this paper, a new and simple five-parameter spectrogram model is developed by simplifying the phase-matching equation of the VIPA etalon and considering the angle between the camera and dispersion direction, which can achieve a frequency accuracy better than one pixel. The performance of the model is demonstrated by measuring the CO₂ absorption spectrum in the range of 1.42 to 1.45 μm using a self-designed near-infrared VIPA spectrometer . The reported method is simple and easy to solve with high accuracy, which is conducive to promoting the application of VIPA spectrometers in precision measurement.

中文翻译：

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用于 VIPA 光谱仪高精度光谱校准的简单三维频谱图模型


虚拟成像相控阵 （VIPA） 光谱仪采用正交色散方式，具有结构紧凑、光谱分辨率高、波长覆盖范围广等优点。它已广泛应用于不同的领域。然而，由于 VIPA 标准具的非线性色散和 VIPA 光谱仪的交叉色散结构，简单且高精度的波长校准仍然是一个挑战。本文通过简化 VIPA 标准具的相位匹配方程，并考虑相机与色散方向之间的角度，开发了一种新的简单的五参数频谱图模型，可以实现优于一个像素的频率精度。通过使用自行设计的近红外 VIPA 光谱仪测量 1.42 至 1.45 μm 范围内的 CO₂ 吸收光谱，证明了该模型的性能 。报道的方法简单易求解，准确率高，有利于促进VIPA光谱仪在精密测量中的应用。