Cui Linyan, Xue Bindang, Zhou Fugen
J Opt Soc Am A Opt Image Sci Vis. 2013 Nov 1;30(11):2188-95. doi: 10.1364/JOSAA.30.002188.
The effects of moderate-to-strong non-Kolmogorov turbulence on the angle of arrival (AOA) fluctuations for plane and spherical waves are investigated in detail both analytically and numerically. New analytical expressions for the variance of AOA fluctuations are derived for moderate-to-strong non-Kolmogorov turbulence. The new expressions cover a wider range of non-Kolmogorov turbulence strength and reduce correctly to previously published analytic expressions for the cases of plane and spherical wave propagation through both weak non-Kolmogorov turbulence and moderate-to-strong Kolmogorov turbulence cases. The final results indicate that, as turbulence strength becomes greater, the expressions developed with the Rytov theory deviate from those given in this work. This deviation becomes greater with stronger turbulence, up to moderate-to-strong turbulence strengths. Furthermore, general spectral power law has significant influence on the variance of AOA fluctuations in non-Kolmogorov turbulence. These results are useful for understanding the potential impact of deviations from the standard Kolmogorv spectrum.
详细地从解析和数值两方面研究了中等到强非柯尔莫哥洛夫湍流对平面波和球面波到达角（AOA）起伏的影响。针对中等到强非柯尔莫哥洛夫湍流，推导了到达角起伏方差的新解析表达式。新表达式涵盖了更广泛的非柯尔莫哥洛夫湍流强度范围，并且对于平面波和球面波在弱非柯尔莫哥洛夫湍流以及中等到强柯尔莫哥洛夫湍流情况下传播的情形，能正确地简化为先前发表的解析表达式。最终结果表明，随着湍流强度增大，用里托夫理论得出的表达式与本研究给出的表达式出现偏差。对于更强的湍流，直至中等到强湍流强度，这种偏差会变得更大。此外，一般谱幂律对非柯尔莫哥洛夫湍流中到达角起伏的方差有显著影响。这些结果有助于理解偏离标准柯尔莫哥洛夫谱的潜在影响。
