红外与激光工程, 2019, 48 (3): 0318001, 网络出版: 2019-04-06  

地基大口径望远镜库德光路误差建模

Error modeling of Coude optics system in ground-based large telescope
作者单位
中国科学院长春光学精密机械与物理研究所, 吉林 长春 130033
摘要
为更好地实现地基大口径望远镜库徳光路的集成装调, 在三个层次上对其误差进行分析, 并利用“Brownian Bridge”过程建立了库徳光路误差模型。首先, 基于光径方程分析了库徳光路在大气扰动影响下的光线偏离情况; 其次, 分析了动态误差所引起的光学模糊以及重力作用下的累积印透效应; 最后, 根据“Brownian Bridge”过程, 在充分考虑误差闭合链的情况下, 建立了库徳焦点位置误差的模型。结果表明: 即使在0.4 ℃/m的温差下, 大气扰动也可以引起0.2″左右的偏差, 且与2.3 mm的大气相干长度等效。同时, 由于折光补偿的符号是一致的, 故无法依靠多次测量平均抵消大气扰动的影响。根据改进的误差模型, 库徳焦点的位置误差与基于独立同分布的假设所得的结果相比, 降低了约20%, 即更充分地考虑了误差闭合的情况。
Abstract
In order to better analyze the integrated installation of ground-based large telescopes′ Coude optics system, the error analysis was carried out on three levels, and the "Brownian Bridge" walk was used to establish the Coude optics system error model. Firstly, based on the equation of light path, the optical fuzzy the Coude optics system under the influence of atmosphere disturbed was analyzed. Secondly, the optical blur caused by dynamic error and the accumulation printing through effect of gravity were analyzed. Finally, using the "Brownian Bridge" walk, the error model of the focus position of the Coude optics system was established under the full consideration of error chain closure. The results show that even in the temperature gradient of 0.4 ℃/m, atmospheric disturbances can also cause the deviation of about 0.2″, equaling to the atmospheric coherent length of 2.3 mm. On the other hand, because the symbols of the refractive compensation were consistent, the effects of atmospheric disturbances cannot be compensated by averaging. According to the improved error model, focus position error of the Coude optics system reduce about 20% compared to the results obtained based on the assumption of independent distribution, that is, the error closure was considered more fully.

郝亮, 明名, 吴小霞, 吕天宇, 王洪浩. 地基大口径望远镜库德光路误差建模[J]. 红外与激光工程, 2019, 48(3): 0318001. Hao Liang, Ming Ming, Wu Xiaoxia, Lv Tianyu, Wang Honghao. Error modeling of Coude optics system in ground-based large telescope[J]. Infrared and Laser Engineering, 2019, 48(3): 0318001.

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