A study of the degradation of daytime astronomical images due to turbulence in the lower atmosphere by measurement of the standard deviation of the angle of arrival

Physics

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Astronomical Photography, Atmospheric Turbulence, Error Analysis, Lower Atmosphere, Standard Deviation, Turbulence Effects, Atmospheric Refraction, Daytime, Elevation Angle, Optical Correction Procedure, Telescopes

Scientific paper

Fluctuations in the angle-of-arrival of a luminous wavefront are investigated by placing a narrow slit over the image of the solar limb, and observing the entrance pupil through this diaphragm. Measurement of the standard deviation σAA of these fluctuations, in a direction perpendicular to the solar limb, provides sufficient information to estimate an absolute parameter characterizing the seeing, i.e. Fried's parameter r0 or the equivalent parameter ∫L C2N(h)dh which gives the integral, over an atmosphere thickness L which depends on the spatial and angular filterings performed by the slit, of the structure constant C2N characterizing fluctuations in the air's refractive index. Simultaneous estimations of σ2AAand and ∫L C2N(h)dh permit a linear relationship to be established between these two quantities. The result is interpreted theoretically by integration of the two-dimensional power spectrum for the angle-of-arrival fluctuations. The influence of filtering effects is discussed.
Such a calibration can be performed for a given telescope and slit, enabling the system to be used as a seeing monitor.

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