Vol. 39, issue 09, article # 5
Copy the reference to clipboard
Abstract:
This paper examines current issues related to deriving analytical expressions for calculating fluctuations in optical wave parameters as they propagate through turbulent media with a non-Kolmogorov turbulence spectrum. The primary goal of this paper is to derive formulas for the dependence of optical wave parameter fluctuations on medium parameters. The primary analysis method utilizes theoretical calculations, supplemented by numerical computations using atmospheric models. Assuming that the integral turbulent energy is independent of the turbulence spectrum type, relationships between the structural parameters of the refractive index of the medium for different turbulence types are obtained. The results of this study allow the parameters of optical waves propagating in a random medium with a certain turbulence spectrum to be recalculated for media with different spectra. The results of this work can be used in the development of adaptive optics systems and in the study of turbulence along atmospheric optical paths.
Keywords:
turbulence, atmosphere, fluctuations, turbulence spectrum model, non-Kolmogorov turbulence, outer and inner turbulence scales, wind velocity, adaptive correction
References:
1. Tatarskii V.I. Rasprostranenie voln v turbulentnoi atmosfere. M.: Nauka, 1967. 548 p.
2. Gurvich A.S., Kon A.I., Mironov V.L., Khmelevtsov S.S. Lazernoe izluchenie v turbulentnoi atmosfere. M.: Nauka, 1976. 277 p.
3. Tatarskii V.I. Adaptivnye sistemy i kogerentnost' // Izv. vuzov. Radiofiz. 1981. V. 24, N 7. P. 861–883.
4. Monin A.S., Yaglom A.M. Statisticheskaya gidromekhanika. V. 1. M.: Nauka, 1967. 696 p.
5. Monin A.S., Yaglom A.M. Statisticheskaya gidromekhanika. SPb: Gidrometeoizdat, 1996. V. 2. 742 p.
6. Zilberman A., Golbraikh E., Kopeika N.S. Lidar studies of aerosol and non Kolmogorov turbulence in the Mediterranean troposphere // Proc. SPIE. 2005. N 5987. DOI: 10.1117/12.629687.
7. Nosov V.V., Grigor'ev V.M., Kovadlo P.G., Lukin V.P., Nosov E.V., Torgaev A.V. Kogerentnye struktury v turbulentnoi atmosfere. Eksperiment i teoriya // Solnechno-zemnaya fizika. 2009. Iss. 14. P. 117–126.
8. Korotkova O., Toselli I. Non-classic atmospheric optical turbulence: Review // Appl. Sci. 2021. V. 11. P. 8487. DOI: 10.3390/app11188487.
9. Toselli I., Andrews L.C., Phillips R.L. Free space optical system performance for laser beam propagation through non-Kolmogorov turbulence // Proc. SPIE. 2007. N 6457. DOI: 10.1117/12.698707.
10. Toselli I., Andrews L.C., Phillips R.L., Ferrero V. Angle of arrival fluctuations for free space laser beam propagation in non Kolmogorov turbulence // Proc. SPIE. 2007. N 6551. DOI: 10.1117/12.719033.
11. Toselli I., Andrews L.C., Phillips R.L., Ferrero V. Free-space optical system performance for laser beam propagation through non-Kolmogorov turbulence // Opt. Eng. 2008. V. 47. P. 026003. DOI: 10.1117/1.2870113.
12. Lukin V.P., Bol’basova L.A., Nosov V.V. Comparison of Kolmogorov’s and coherent turbulence // Appl. Opt. 2014. V. 53. P. B231–B236. DOI: 10.1364/AO.53.00B231.
13. Сharnotskii M.I. Wave propagation in random media with spectral exponent outside the (3, 4) range // Workshop on non-Kolmogorov Turbulence and Associated Phenomena. Fraunhofer IOSB, Ettlingen, Germany, 2019.
14. Cui L., Xue B., Zhou F. Generalized anisotropic turbulence spectra and application in the optical waves propagation through anisotropic turbulence // Opt. Express. 2015. V. 23. P. 30088–30103. DOI: 10.1364/OE.23.030088.
15. Bos J.P., Roggemann M.C., Gudimetla V.R. Anisotropic non-Kolmogorov turbulence phase screens with variable orientation // Appl. Opt. 2015. V. 54. P. 2039–2045. DOI: 10.1364/AO.54.002039.
16. Toselli I., Gladysz S. On the general equivalence of the fried parameter and coherence radius for non-Kolmogorov and oceanic turbulence // OSA Contin. 2019. V. 2. P. 43–48. DOI: 10.1364/OSAC.2.000043.
17. Beck J.R., Bos J.P. Angular anisoplanatism in non-Kolmogorov turbulence over horizontal paths // J. Opt. Soc. Am. A. 2020. V. 37. P. 1937–1949. DOI: 10.1364/JOSAA.37.001937.
18. Lukin I.P. Integral'noe razreshenie opticheskoi sistemy «turbulentnaya atmosfera – teleskop» // Optika atmosf. i okeana. 1995. V. 8, N 3. P. 479–483.
19. Fried D.L. Limited resolution looking down through the atmosphere // J. Opt. Soc. Am. 1966. V. 56, N 10. P. 1380–1385. DOI: 10.1364/JOSA.56.001380.
20. Gradshtein I.S., Ryjik I.N. Tablitsy integralov, summ, ryadov i proizvedenii. M.: Izd-vo fiz.-mat. lit-ry, 1963. 1110 p.
21. Lukin V.P. Prognoz fazovykh fluktuatsii opticheskikh voln v turbulentnoi atmosfere na osnove tekushchikh dannykh // Izv. vuzov. Fiz. 2024. V. 67, N 2. P. 114–123.
22. Noll R.J. Zernike polynomials and atmospheric turbulence // J. Opt. Soc. Am. 1976. V. 66, N 3. P. 207–211. DOI: 10.1364/JOSA.66.000207.
23. Andrews L.C., Phillips R.L., Hopen C.Y. Laser beam scintillation with application. Bellingham, Washington: SPIE Press, 2001. 375 p.