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
作者单位
1 中国科学院光电技术研究所, 四川 成都 610209
2 中国科学院研究生院, 北京 100049
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.
参考文献

[1] A. N. Kolmogorov. The Local Structure of Turbulence in Incompressible Viscous Fluids for Very Large Reynold′s Numbers[M]. S. K. Friedlander, L. Topper ed. New York: Wiley Interscience, 1961. 151~155

[2] V. I. Tatarskii. Wave Propagation in a Turbulent Medium[M]. New York: Dover Publications, 1967

[3] D. L. Fried. Statistics of a geometric representation of wavefront distortion[J]. J. Opt. Soc. Am, 1965, 55(11): 1427~1435

[4] D. L. Fried. Optical resolution through a randomly inhomogeneous medium for very long and very short exposures[J]. J. Opt. Soc. Am., 1966, 56(10): 1372~1379

[5] Nicolas Roddier. Atmospheric wavefront simulation using Zernike polynomials[J]. Opt. Engng., 1990, 29(10): 1174~1180

[6] Mikhail S. Belen′kii, Stephen J. Karis, James M. Brown II et al.. Experimental study of the effect of non-Kolmogorov stratospheric turbulence on star image motion. stratospheric turbulence on star image motion[C]. SPIE, 1995, 3126: 113~123

[7] M. S. Belen′kii. Effect of the stratosphere on star image motion[J]. Opt. Lett., 1995, 20(12): 1359~1361

[8] G. D. Boreman, C. Dainty. Zernike expansions for non-Kolmogorov turbulence[J]. J. Opt. Soc. Am. A, 1996, 13(3): 517~522

[9] 梅海平, 吴晓庆, 饶瑞中. 非Kolmogorov大气湍流温度谱标度指数的测量与分析[J]. 强激光与粒子束, 2006, 18(9): 1423~1427

    Mei Haiping, Wu Xiaoqing, Rao Ruzhong. Measurement and analysis of temperature power spectrum scaling exponent in non-Kolmogorov turbulent atmosphere[J]. High Power Laser and Particle Beams, 2006, 18(9): 1423~1427

[10] 饶长辉, 姜文汉, 凌宁. 低阶模式校正自适应光学系统的补偿效果分析[J]. 光学学报, 1999, 19(12): 1615~1624

    Rao Changhui, Jiang Wenhan, Ling Ning. Analysis of compensation effectiveness for adaptive optical system used as low-order modes correction[J]. Acta Optica Sinica, 1999, 19(12): 1615~1624

[11] Guangming Dai. Modal compensation of atmospheric turbulence with the use of Zernike polynomials and Karhunen-Loeve functions[J]. J. Opt. Soc. Am. A, 1995, 12(10): 2182~2193

[12] J. Y. Wang. Optical resolution through a turbulent medium with adaptive phase compensations[J]. J. Opt. Soc. Am., 1977, 67(3): 383~390

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.

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