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Effect of finite outer scale and inner scale of turbulence on aperture averaging of optical scintillations

机译:有限外部尺度和内部湍流尺度对光闪烁孔径平均的影响

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We study the effects of finite outer scale and inner scale of atmospheric turbulence on aperture averaging of optical scintillations. Analytical developments of the apeture-adveraging factor have bene limited somewhat because of mathematical complexities associated with the integral G=integral from x=0 to x=infinity of (b_1(Dx)K(x)x)dx. In part, this is due to the MTF model K(x) that characterizes circular paerture and the power spectrum of refractive index fluctuations.So, we derive a modified spectrum of refractive index fluctuations that features inner scale, outer scale and a high wave number bump. And we approximate the circular aperture with a Gaussian aperture model. The analytic expressions are obtained for the aperture-averaging factor associated with optical scintillations of unbounded plane waves in weak fluctuation regime base don a modified spectrum of refractive-index fluctuations and the Gaussian aperture model. This analysis is inclusion of the finite outer-scale and inner-scale are shown to be necessary for quantitative estimates. Our results obtained for the modified model turbulence spectrum significantly differ from those obtained for a Kolmogorov turbulence spectrum. In additin, interpolation expressions are obtained for the aperture-averaging factor associated with optical scintillations of a spherical wave in weak fluctuation regime.
机译:我们研究了大气湍流的有限外部尺度和内部尺度对光学闪烁孔径平均的影响。由于与(b_1(Dx)K(x)x)dx从x = 0到x =无穷大的积分G =积分相关的数学复杂性,光圈平均因子的分析发展受到了一些限制。在某种程度上,这是由于MTF模型K(x)表征了圆孔和折射率波动的功率谱,因此,我们得出了具有内部刻度,外部刻度和高波数的折射率波动的修正光谱。颠簸。我们用高斯光圈模型估算圆形光圈。在修正了折射率波动谱和高斯孔径模型的基础上,获得了与弱波动区中无界平面波的光闪烁相关的孔径平均因子的解析表达式。这种分析包括有限的外部尺度,内部尺度被证明对于定量估计是必要的。我们从修改后的模型湍流谱获得的结果与从Kolmogorov湍流谱获得的结果显着不同。另外,获得了与弱波动状态下的球面波的光闪烁相关的孔径平均因子的内插表达式。

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