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Proceedings Paper

Effect of finite outer scale and inner scale of turbulence on aperture averaging of optical scintillations
Author(s): Yixin Zhang
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Paper Abstract

We study the effects of finite outer scale and inner scale of atmospheric turbulence on aperture averaging of optical scintillations. Analytical developments of the aperture- averaging factor have been limited somewhat because of mathematical complexities associated with the integral G equals $CINTb1(Dx)K(x)xdx. In part, this is due to the MTF model K(x) that characterizes circular aperture 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 based on 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 addition, interpolation expressions are obtained for the aperture- averaging factor associated with optical scintillations of a spherical wave in weak fluctuation regime.

Paper Details

Date Published: 21 July 2000
PDF: 7 pages
Proc. SPIE 4034, Laser Weapons Technology, (21 July 2000); doi: 10.1117/12.391874
Show Author Affiliations
Yixin Zhang, Wuxi Univ. of Light Industry (China)


Published in SPIE Proceedings Vol. 4034:
Laser Weapons Technology
Todd D. Steiner; Paul H. Merritt, Editor(s)

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