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光波通过弱各向异性非柯尔莫哥洛夫湍流传播时到达角起伏的分析

Analysis of angle of arrival fluctuations for optical waves' propagation through weak anisotropic non-Kolmogorov turbulence.

作者信息

Cui Linyan

出版信息

Opt Express. 2015 Mar 9;23(5):6313-25. doi: 10.1364/OE.23.006313.

Abstract

Analytical expressions for the variance of angle of arrival (AOA) fluctuations based on the Rytov approximation theory are derived for plane and spherical waves' propagation through weak anisotropic non-Kolmogorov turbulence atmosphere. The anisotropic spectrum model based on the assumption of circular symmetry in the orthogonal plane throughout the path is adopted and it includes the same degree of anisotropy along the direction of propagation for all the turbulence cells size in the inertial sub-range. The derived expressions consider a single anisotropic coefficient describing the turbulence anisotropic property and a general spectral power law value in the range 3 to 4. They reduce correctly to the previously published analytic expressions for the cases of plane and spherical waves' propagation through weak isotropic non-Kolmogorov turbulence for the special case of anisotropic factor equaling one. To reduce the complexity of the analytical results, the asymptotic-fit expressions are also derived and they fit well with the close-form ones. These results are useful for understanding the potential impact of deviations from the standard isotropic non-Kolmogorov turbulence atmosphere.

摘要

基于Rytov近似理论,推导了平面波和球面波在弱各向异性非Kolmogorov湍流大气中传播时到达角(AOA)起伏方差的解析表达式。采用了基于整个路径正交平面内圆对称假设的各向异性谱模型,该模型在惯性子区内对所有湍流单元尺寸沿传播方向具有相同程度的各向异性。推导的表达式考虑了一个描述湍流各向异性特性的单一各向异性系数以及范围在3到4的一般谱幂律值。对于各向异性因子等于1的特殊情况,它们能正确简化为先前发表的平面波和球面波在弱各向同性非Kolmogorov湍流中传播的解析表达式。为降低解析结果的复杂性,还推导了渐近拟合表达式,且它们与精确形式的表达式拟合良好。这些结果有助于理解偏离标准各向同性非Kolmogorov湍流大气的潜在影响。

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