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本文探讨的是刻在主反射镜表面的全息结构断面形状对望远镜的信息通道和监测通道的动力学特性和像差特性的影响。得到的一些公式能确定各种对称的和非对称断面形状所要求的全息结构形貌高度并估算在此损耗条件下信息通道可实现的能量。这些解析表达式的结果确定了:从使信息通道中的能量损失最小的观点出发,具有占空度等于0.5的、接近正弦曲线或三角形的对称形貌断面形状是最佳形状。导出在主反射镜孔径限度内全息结构的高度、断面形状和这些形貌参数的变化对望远镜信息通道和监测通道中像差的影响。用公式表示出对刻在望远镜主反射镜表面的全息结构断面形状提出的基本要求。
This article explores the impact of the holographic cross-sectional shape of the primary mirror surface on the dynamics and aberration characteristics of the telescope’s information and monitoring channels. Some of the formulas obtained determine the height of the holographic structure required for various symmetrical and asymmetric cross-sectional shapes and estimate the energy that can be achieved by the information channel under this loss condition. The results of these analytical expressions confirm that the shape of the symmetrical topography close to a sinusoidal or triangular shape with a duty cycle equal to 0.5 is the optimal shape from the viewpoint of minimizing the energy loss in the information channel. The influence of the height of the holographic structure, the shape of the cross-section, and the variation of these topographical parameters on the aberrations in the information channel and the monitoring channel of the telescope are derived in the limits of the main reflector aperture. The formulas show the basic requirements for the profile of the holographic structure that is engraved on the main mirror surface of the telescope.