中国激光, 2012, 39 (1): 0113002, 网络出版: 2012-01-04
非科尔莫戈罗夫湍流下望远镜的分辨力分析
Analysis of Sovling Power of Telescopes for Non-Kolmogorov Turbulence
大气光学 非科尔莫戈罗夫湍流 望远镜分辨力 湍流功率谱指数 极限分辨力 大气相干长度 atmospheric optics non-Kolmogorov turbulence solving power of telescopes power-law exponent of turbulence limiting resolution atmospheric coherence length
摘要
为分析不同大气湍流条件下望远镜的分辨力,计算了非科尔莫戈罗夫(Kolmogorov)湍流条件下望远镜的分辨力。通过非科尔莫戈罗夫湍流条件下大气的相位结构函数推出望远镜长曝光和短曝光传递函数,进而推导了望远镜的分辨力函数,并得到望远镜口径无穷大时的长曝光极限分辨力与湍流功率谱指数β之间的关系,最后由望远镜的极限分辨力函数推导了望远镜的归一化分辨力函数。结果表明,β越小望远镜的极限分辨力越高,β越大望远镜的极限分辨力越低;不同的β,望远镜的短曝光和长曝光的最佳分辨力所对应的D/r0也不同。
Abstract
The solving power of non-Kolmogorov turbulence is calculated for analyzing resolution of telescopes in different atmosphere condition. Modulation transfer function (MTF) of long exposure and short exposure is deduced by using the structure function of no-Kolmogorov turbulence, then the solving power is generalized, and the limiting resolution is gotten, which are functions of power-law exponent β. Finally, the normalized resolution is achieved by dividing by the 'limiting resolution'. The results show that the larger β is, the smaller resolution is, and the smaller β is, the larger resolution is. Also, D/r0 is different for the best solving power of long exposure and short exposure, if the β is different.
彭起, 陈洪斌, 王继红, 曹雷. 非科尔莫戈罗夫湍流下望远镜的分辨力分析[J]. 中国激光, 2012, 39(1): 0113002. Peng Qi, Chen Hongbin, Wang Jihong, Cao Lei. Analysis of Sovling Power of Telescopes for Non-Kolmogorov Turbulence[J]. Chinese Journal of Lasers, 2012, 39(1): 0113002.