Vol. 29, issue 11, article # 5

Abstract:

The paper presents a new algorithm for generating random phase screens, which are used in the numerical solution of the problem of laser radiation propagation in a turbulent atmosphere. Developed on the basis of this algorithm, a numerical model of the evolution of phase fluctuations of a light field at the entrance aperture of an adaptive optics system allows us to estimate the temporal transformation of atmospheric inhomogeneities, which include small-scale wind fluctuations, which occur in the real atmosphere, along with the wind transfer of turbulent inhomogeneities. Using this numerical model, a correlation method for calculation of the speed of the crosswind turbulence transfer from measurements of a wavefront Shack–Hartmann sensor is analyzed.

Keywords:

Shack–Hartmann wavefront sensor, turbulence model, wind speed

References:

1. Lukin V.P. Dinamicheskie harakteristiki adaptivnyh opticheskih sistem // Optika atmosf. i okeana. 2010. V. 23, N 11. P. 1027–1035.
2. Antoshkin L.V., Lavrinov V.V., Lavrinova L.N., Lukin V.P., Tuev M.V. Osobennosti operezhajushhej korrekcii turbulentnyh iskazhenij po izmerenijam datchika Shjeka–Gartmana // Optika atmosf. i okeana. 2010. V. 23, N 11. P. 1042–1047; Antoshkin L.V., Lavrinov V.V, Lavrinova L.N, Lukin V.P., Tuev M.V. Peculiarities of forestalling correction of the turbulent distortions according to measurements of the Shack–Hartmann sensor // Atmos. Ocean. Opt. 2011. V. 24, N 3. P. 313–318.
3. Lavrinov V.V., Kopylov E.A., Lukin V.P. Razrabotka jeffektivnyh algoritmov upravlenija adaptivnymi opticheskimi sistemami dlja astronomicheskih priborov i lazernyh optojelektronnyh sistem // Sb. trudov V nauch.-tehn. konf. OAO «GSKB «Almaz–Antej», Moskva, 25–27 september, 2014. P. 476–483.
4. Tatarskij V.I. Rasprostranenie voln v turbulentnoj atmosfere. M.: Nauka, 1967. 548 p.
5. Gurvich A.S., Kon A.I. Mironov V.L., Hmelevcov S.S. Lazernoe izluchenie v turbulentnoj atmosfere. M.: Nauka, 1976. 277 p.
6. Voroncov M.A., Shmal'gauzen V.I. Principy adaptivnoj optiki. M.: Nauka, 1985. 336 с.
7. Pikulev S.V., Semenkov V.V., Chernyh A.V., Shanin O.I., Shhipalkin V.I. Ispytanija adaptivnoj opticheskoj sistemy na model'noj atmosfernoj turbulentnoj trasse // Avtometrija. 2012. V. 48, N 2. P. 67–75.
8. Nosov V.V., Kovadlo P.G., Lukin V.P., Torgaev A.V. Atmosfernaja kogerentnaja turbulentnost' // Optika atmosf. i okeana. 2012. V. 25, N 9. P. 753–759; Nosov V.V., Kovadlo P.G., Lukin V.P., Torgaev A.V. Atmospheric coherent turbulence // Atmos. Ocean. Opt. 2013. V. 26, N 3. P. 201–206.
9. Lukin V.P., Nosov V.V., Nosov V.E., Torgaev A.V. Prichiny projavlenija nekolmogorovskoj turbulentnosti v atmosfere // Uspehi sovremennogo estestvoznanija. 2014. N 12. P. 369–377.
10. Toselli I. Introducing the concept of anisotropy of different scales for modeling optical turbulence // J. Opt. Soc. Amer. A. 2014. V. 31, N 8. P. 1868–1875.
11. Vernin J., Roddier F. Experimental determination of two-dimensional spatiotemporal power spectra of stellar light scintillation. Evidence for a multilayer structure of the air turbulence in the upper troposphere // J. Opt. Soc. Amer. 1973. V. 63, N 3. P. 270–273.
12. Rukosuev A.L., Kudrjashov A.V., Lylova A.N., Samarkin V.V., Sheldakova Ju.V. Adaptivnaja opticheskaja sistema dlja korrekcii volnovogo fronta v real'nom vremeni // Optika atmosf. i okeana. 2015. V. 28, N 2. P. 189–195; Rukosuev A.L., Kudryashov A.V., Lylova A.N., Samarkin V.V., Sheldakova Yu.V. Adaptive optics system for real-time wavefront correction // Atmos. Ocean Opt. 2015. V. 28, N 4. P. 381–386.
13. Lukin V.P., Botygina N.N., Emaleev O.N., Korol'kov V.P., Lavrinova L.N., Nasyrov R.K., Poleshhuk A.G., Cherkashin V.V. Datchik Shjeka–Gartmana na osnove rastra nizkoaperturnyh vneosevyh difrakcionnyh linz // Avtometrija. 2009. V. 45, N 2. P. 88–98.
14. Antoshkin L.V., Goleneva N.V., Lavrinov V.V., Lavrinova L.N. Metod vychislenija poperechnyh sostavljajushhih skorosti vetra na vhodnoj aperture adaptivnoj sistemy po izmerenijam datchika volnovogo fronta Shjeka–Gartmana // Avtometrija. 2015. V. 51, N 6. P. 63–69.
15. Antoshkin L.V., Lavrinov V.V., Lavrinova L.N., Lukin V.P. Differencial'nyj metod v izmerenii parametrov turbulentnosti i skorosti vetra datchikom volnovogo fronta // Optika atmosf. i okeana. 2008. V. 21, N 1. P. 75–80.
16. Banah V.A., Velov V.V., Zemljanov A.A. Krekov G.M., Lukin V.P., Matvienko G.G., Suhanov A.Ja., Falic A.V. Rasprostranenie opticheskih voln v neodnorodnyh, sluchajnyh, nelinejnyh sredah / Pod red. Zemljanova A.A. Tomsk: Izd-vo IOA SO RAN, 2012. 402 p.
17. Dudorov V.V., Kolosov V.V., Filimonov G.A. Algoritm formirovanija beskonechnyh turbulentnyh jekranov dlja modelirovanija dolgovremennyh lazernyh jeksperimentov v atmosfere // Izvestija TPU. 2006. V. 309, N 8. P. 85–89.
18. Lukin V.P., Fortes B.V. Adaptivnoe formirovanie puchkov i izobrazhenij v atmosfere. Novosibirsk: Izd-vo SO RAN, 1999. 211 p.
19. Kiselev V.Ju., Berchenko E.A., Filatov A.S., Konjaev P.A., Lavrinova L.N., Lukin V.P. Imitator fazovyh iskazhenij volnovogo fronta // Fotonika. 2014. V. 46, N 4. P. 34–49.