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17 October 2023 Calculation of cross-correlation of image jitter of a laser reference star and a plane wave
L. A. Bolbasova, V. P. Lukin, V. V. Nosov
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Proceedings Volume 12780, 29th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 1278006 (2023) https://doi.org/10.1117/12.2688057
Event: XXIX International Symposium "Atmospheric and Ocean Optics, Atmospheric Physics", 2023, Moscow, Russian Federation
Abstract
The cross-correlation coefficient of image jitter of a laser guide star (LGS) and a plane wave in the focal plane of the telescope is calculated. The calculation showed that such a cross-correlation function of image jitter consists of two terms. In this case, the first (main) term does not take into account the integral correlation of fluctuations in the displacement of the laser beam with the field of the dielectric permittivity of the medium, and the second one takes into account this correlation according to the Furutsu-Novikov formula. The Kolmogorov-Obukhov turbulence spectrum was used in the calculations. As a result, it turned out that the monostatic LGS has residual jitter, and this signal can be used to correct the "global" tilt of the wavefront in telescopes. Moreover, for medium-sized telescopes operating in conditions of strong turbulence, the magnitude of this random jitter of the position of the LGS will be sufficient to be used for correcting the tilt of the wave front.
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L. A. Bolbasova, V. P. Lukin, and V. V. Nosov "Calculation of cross-correlation of image jitter of a laser reference star and a plane wave", Proc. SPIE 12780, 29th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 1278006 (17 October 2023); https://doi.org/10.1117/12.2688057
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KEYWORDS
Beam divergence
Telescopes
Plane waves
Spherical lenses
Dielectrics
Refractive index
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