Design of direct-vision prisms with minimized spectral and spatial distortions for dispersive imaging spectrometers
首发时间:2017-02-10
Abstract:The spectral and spatial distortions, known as "smile" and "keystone", introduced by dispersive prisms in dispersive imaging spectrometers usually are nuisance for the accurate reconstruction of spectra and images. In addition to the software correction of distortion, the system designs, such as direct-vision compound prism, is also critical to reduce those distortions before corrections. In this paper, using vector ray tracing method, distortions and dispersive lengths are derived analytically for three-element or two-element compound prisms. The distortions are found to be the complex functions of the apex angles, the refractive indices and the incident vector on the first surface of the prisms, and relate to the focal length of imaging lens in the dispersive imaging spectrometer. The merit functions to optimize apex angles for the selected glasses at the fixed focal length over incident vectors are proposed. The presented method is useful for the designs of compound prisms in the dispersive imaging spectrometers with high accuracy.
keywords: optical design imaging spectrometer direct-vision prism dispersion distortion
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色散成像光谱仪中最小光谱与空间畸变直视棱镜的设计
摘要:色散成像光谱仪中色散棱镜自身引入的空间与光谱畸变,非常不利于光谱与图像的精确复原。除了使用计算方法进行畸变纠正,直视色散棱镜的光学设计是一种减小畸变的潜在手段。本文利用矢量光线追迹算法,从理论上推演出了二元和三元复合棱镜的畸变和色散长度表达式。可以发现,畸变是棱镜顶角、折射率以及棱镜第一表面入射光线矢量的复杂函数,同时与色散光谱仪中后置成像透镜的焦距密切相关。文中给出了特定玻璃组合与成像透镜焦距下,在各种入手矢量情况下用于优化棱镜顶角的评价函数。文中所述方法对于高精度色散成像光谱仪中复合棱镜的设计具有重要参考价值。
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No.4717708118087814****
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