Effect of a finite outer scale on the Zernike decomposition of atmospheric optical turbulence
Effect of a finite outer scale on the Zernike decomposition of atmospheric optical turbulence
复制标题
有限外尺度对大气光学湍流泽尼克分解的影响
DOI：
10.1364/josaa.8.001568
复制
发表时间：
1991
影响因子：
1.9
通讯作者：
["D. Winker
中科院分区：
文献类型：
--
作者：
["D. Winker
利用泽尔尼克多项式分解研究了大气湍流引起的光学系统相位失真。对于具有有限外尺度长度的Kolmogorov湍流，给出了Zernike系数方差的解析解。结果表明，即使外尺度长度远大于光学孔径，有限外尺度的作用也是使低阶泽尼克分量衰减。恒定的外尺度的大小和高度相关的外尺度的影响进行了研究。结果发现，大型望远镜的视宁度效应更多地取决于外尺度的大小，而不是外尺度垂直剖面的形状。
Phase distortions in optical systems induced by atmospheric turbulence are investigated with the use of Zernike polynomial decompositions. An analytic solution for the variances of the Zernike coefficients is found for the case of Kolmogorov turbulence with a finite outer-scale length. It is shown that the effect of finite outer scale is to attenuate low-order Zernike components, even when the outer-scale length is much larger than the optical aperture. Effects are investigated for constant outer-scale size and for height-dependent outer scales. It is found that seeing effects on large telescopes are dependent more on the magnitude of the outer scale than on the shape of the outer-scale vertical profile.