Abstract
In this paper, a new relation between Kolmogorov and non-Komogorov structure constants based on the outer scale, is found. Using this new relation, which insures the total power of the fluctuations of the refractive index is conserved when the power law changes, the angle of arrival for plane and spherical wave propagation in non-Kolmogorov turbulence is analyzed.
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REFERENCES
V. P. Lukin, E. V. Nosov, V. V. Nosov, and A. V. Torgaev, “Causes of non-Kolmogorov turbulence in the atmosphere,” Appl. Opt. 55, B163–B168 (2016).
O. Korotkova and I. Toselli, “Non-classic atmospheric optical turbulence: Review,” Appl. Sci. 22, 8487, (2021).
V. V. Nosov, V. P. Lukin, E. V. Nosov, and A. V. Torgaev “Results of measurements of A. N. Kolmogorov and A. M. Obukhov constants in the Kolmogorov–Obukhov law”, Proc. SPIE 7296, 72960A (2009).
V. V. Nosov, V. M. Grigoriev, P. G. Kovadlo, V. P. Lukin, and A. V. Torgaev “Result of measurements of the astroclimate characteristics of astronomical telescopes in the mountain observatories”, Proc. SPIE 7296, 72960C (2009).
B. E. Stribling, B. M. Welsh, and M. C. Roggemann, “Optical propagation in non-Kolmogorov atmospheric turbulence,” Proc. SPIE 2471 (1995).
Y. Baykal and H. Gerçekcioğlu, “Equivalence of structure constants in non-Kolmogorov and Kolmogorov spectra,” Opt. Lett. 36, 4554–4556 (2011).
M. Beason, L. Andrews, and I. Toselli, “Calculating structure function constant from measured C n 2 in non-Kolmogorov and anisotropic turbulence including inner scale effects,” Appl. Opt. 58, 6813–6819 (2019).
M. Charnotskii, “Intensity fluctuations of flat-topped beam in non-Kolmogorov weak turbulence: Comment,” J. Opt. Soc. Am. A 29, 1838–1840 (2012).
D. L. Fried, “Optical resolution through a randomly inhomogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56, 1372–1379 (1966).
Y. Li, W. Zhu, X. Wu, and R. Rao, “Equivalent refractive-index structure constant of non-Kolmogorov turbulence,” Opt. Express 23, 23 004–23 012 (2015).
I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferrero, “Angle of arrival fluctuations for free space laser beam propagation through non Kolmogorov turbulence,” Proc. SPIE 6551, 65510E (2007).
R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence. Evaluation and Application of Mellin Transforms (SPIE, 2007), 2nd ed. (2007). https://doi.org/10.1117/3.741372.fm
V. P. Lukin “Outer scale of turbulence and its influence on fluctuations of optical waves,” Physics–Uspekhi 64, 280–303 (2021).
L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005), 2nd ed. https://doi.org/10.1117/3.626196
V. P. Lukin, V. V Nosov and A. V. Torgaev “Features of optical image jitter in a random medium with a finite outer scale,” Appl. Opt. 53, B196–B204 (2014).
V. P. Lukin, V. V Nosov and A. V. Torgaev “Influence of atmospheric turbulence scale,” Proc. SPIE 9680, 96806X (2015).
M. Charnotskii “Wave propagation in random media with spectral exponent outside the (3, 4) range,” Workshop on Non-Kolmogorov Turbulence and Associated Phenomena (Fraunhofer IOSB, Ettlingen, 01.–03.07.2019) via OSA Imaging and Applied Optics Congress. Munchen. 24–27 June 2019).
Funding
This work was sponsored by WTD 91 (Technical Center of Weapons and Ammunition) of the Federal Defence Forces of Germany—Bundeswehr in the project ABU-SLS.
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Toselli, I., Gladysz, S. Angle of Arrival for Plane and Spherical Waves in Non-Kolmogorov, Power-Conserved Turbulence. Atmos Ocean Opt 35, 319–327 (2022). https://doi.org/10.1134/S1024856022030162
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DOI: https://doi.org/10.1134/S1024856022030162