Evaluation of r sub zero for propagation down through the atmosphere

Physics – Optics

Scientific paper

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Atmospheric Optics, Atmospheric Turbulence, Light Transmission, Optical Communication, Turbulence Effects, Wave Front Deformation, Atmospheric Refraction, Probability Distribution Functions, Refractivity, Statistical Analysis, Wave Diffraction

Scientific paper

The concept of the quantity r sub zero as a length that measures the effect of atmospheric turbulence on optical systems that are wavefront-distortion-sensitive is briefly reviewed. It is pointed out that no precise set of data on r sub zero for propagation down through the atmosphere has been published. Using astronomical seeing data obtained by Hoag (1964) and by Meinel (1963) it is shown how statistics for r sub zero can be derived, at least for observatory-quality sites. It is found that the two sets of data are in very good agreement, and it is concluded that r sub zero is variable from night to night and distributed according to log-normal distribution. For 0.55-micron light and zenith propagation, the median value of r sub zero is 0.114 m and changes by a factor of 1.36 for occurrences one standard deviation from the median.

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