非科尔莫戈罗夫湍流下望远镜的分辨力分析

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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。 To analyze the resolving power of the telescope under different atmospheric turbulence conditions, the resolution of the telescope under non-Kolmogorov turbulence conditions was calculated. The telescope’s long-exposure and short-exposure transfer functions are derived from the atmospheric phase structure function under the non-Kolmogorov turbulence conditions. The resolving power function of the telescope is deduced. The long-exposure limit resolution and the turbulent power The relationship between the spectral index β, and finally the normalized resolution function of the telescope is deduced from the ultimate resolution function of the telescope. The results show that the smaller the β is, the higher the resolution of the telescope is, and the larger the β is, the lower the resolution of the telescope is. The different D / r0 for different β and telescope’s short exposure and the best resolution of long exposure are also different.
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