Beck Jeffrey R, Bos Jeremy P
J Opt Soc Am A Opt Image Sci Vis. 2020 Dec 1;37(12):1937-1949. doi: 10.1364/JOSAA.401613.
We use Mellin-transform techniques to derive generalized expressions for the piston-removed and piston-and-tilt-removed anisoplanatic error in non-Kolmogorov turbulence with a finite outer scale. We use these expressions to investigate the behavior of the anisoplanatic error when imaging over long horizontal paths where the angular extent of the scene is often many times the isoplanatic angle. By evaluating these expressions, we first find that in many cases, the anisoplanatic error saturates to a value less than 1. Next, as power law increases, the contributions due to piston and tilt dominate the anisoplanatic error expression. Last, the size of the outer scale contributes primarily to the piston and tilt terms. Together, these behaviors imply that when piston and tilt are removed, anisoplanatism is reduced by as much as 60%.
我们使用梅林变换技术，推导出了在具有有限外尺度的非柯尔莫哥洛夫湍流中，去除活塞和去除活塞与倾斜后的非等晕误差的广义表达式。我们使用这些表达式来研究在长水平路径上成像时非等晕误差的行为，此时场景的角范围通常是等晕角的许多倍。通过对这些表达式进行评估，我们首先发现在许多情况下，非等晕误差会饱和到小于1的值。其次，随着幂律增加，由活塞和倾斜引起的贡献在非等晕误差表达式中占主导地位。最后，外尺度的大小主要影响活塞项和倾斜项。这些行为共同表明，当去除活塞和倾斜时，非等晕性最多可降低60%。
