Vol. 33, issue 02, article # 4

Lavrinov V. V., Lavrinova L. N. Numerical analysis of wave front reconstruction under conditions of “strong" atmospheric turbulence. // Optika Atmosfery i Okeana. 2020. V. 33. No. 02. P. 104–112. DOI: 10.15372/AOO20200204 [in Russian].
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Abstract:

The reconstruction of a wave front of optical radiation which contains turbulent distortions is carried out on the basis of the Hartmann method by approximating the wave function with Zernike polynomials based on estimates of local inclinations and is analyzed for high-intensity turbulent distortions. Based on the results of statistical analysis of information on phase distortions of radiation using a Hartmannogram formed in the plane of the receiving device, methods have been identified that allow reducing the residual reconstruction error caused by the presence of “strong” turbulence along a radiation propagation path.

Keywords:

Shack–Hartman wavefront sensor, turbulent distortion of optical radiation

References:

  1. Taranenko V.G., Shanin O.I. Adaptivnaya optika. M.: Radio i svyaz', 1990. 112 p.
  2. Lukin V.P., Fortes B.V. Adaptivnoe formirovanie puchkov i izobrazhenij v atmosfere. Novosibirsk: Izd-vo SO RAN, 1999. 211 p.
  3. Botygina N.N., Kovadlo P.G., Kopylov E.A., Lukin V.P., Tuev M.V., Shihovtsev A.Yu. Otsenka kachestva astronomicheskogo videniya v meste raspolozheniya Bol'shogo solnechnogo vakuumnogo teleskopa po dannym opticheskih i meteorologicheskih izmerenij // Optika atmosf. i okeana. 2013. V. 26, N 11. P. 942–947; Botygina N.N., Kovadlo P.G., Kopylov E.A., Lukin V.P., Tuev M.V., Shikhovtsev A.Yu. Estimation of the astronomical seeing at the Large Solar Vacuum Telescope site from optical and meteorological measurements // Atmos. Ocean. Opt. 2014. V. 27, N 2. P. 142–146.
  4. Kovadlo P.G., Lukin V.P., Shihovtsev A.Yu. Razvitie modeli turbulentnoj atmosfery na astroploshchadke Bol'shogo solnechnogo vakuumnogo teleskopa v prilozhenii k adaptatsii izobrazhenij // Optika atmosf. i okeana. 2018. V. 31, N 11. P. 906–910; Kovadlo P.G., Lukin V.P., Shikhovtsev A.Yu. Development of the model of turbulent atmosphere at the Large Solar Vacuum Telescope site as applied to image adaptation // Atmos. Ocean. Opt. 2019. V. 32. N 2. P. 202–206.
  5. Mackey R., Dainty C. Adaptive optics correction over a 3km near horizontal path // Proc. SPIE. 2017. V. 7108. P. 71080I-1–9.
  6. Marchi G. Adaptive optics system for the observation of terrestrial point-like sources: Results and Problems // Proc. SPIE. 2017. V. 7828, P. 78280K-1–11.
  7. Lukin V.P., Botygina N.N., Emaleev O.N., Korol'kov V.P., Lavrinova L.N., Nasyrov R.K., Poleshchuk A.G., Cherkashin V.V. Datchik Sheka – Gartmana na osnove rastra nizkoaperturnyh vneosevyh difraktsionnyh linz // Avtometriya. 2009. V. 45, N 2. P. 88–98.
  8. Antoshkin L.V., Lavrinov V.V., Lavrinova L.N. Chislennyj analiz evolyutsii fazovyh fluktuatsij svetovogo polya na vhodnoj aperture adaptivnoj opticheskoj sistemy // Optika atmosf. i okeana. 2016. V. 29, N 11. P. 926–933.
  9. Lavrinov V.V. Dinamicheskoe upravlenie adaptivno-opticheskoj korrektsiej turbulentnyh iskazhenij lazernogo izlucheniya // Optika atmosf. i okeana. 2017. V. 30, N 10. P. 893–901.
  10. Thomas S., Fusco T., Tokovinin A., Nicolle M., Michau V., Rousset G. Comparison of centroid computation algorithms in a Shack – Hartmann sensor // Mon. Not. R. Astron. Soc. 2006. V. 371, N 1. P. 323–336.
  11. Lardière O., Conan R., Clare R., Bradley C., Hubin N. Performance comparison of centroiding algorithms for laser guide star wavefront sensing with extremely large telescopes // Appl. Opt. 2010. V. 49, iss. 31. P. G78–G94.
  12. Antoshkin L.V., Borzilov A.G., Botygina N.N., Emaleev O.N., Konyaev P.A. Deflector for correction of tilts angles of wave front // Proc. SPIE. 2018. V. 10833. P. 108332I.
  13. Antoshkin L.V., Borzilov A.G., Lavrinov V.V. Lavrinova L.N. Program–hardware complex for optical beams formation with modeled tilt angels // Proc. SPIE. 2017. V. 10466. P. 104660X.
  14. Rukosuev A.L., Kudryashov A.V., Lylova A.N., Samarkin V.V., Sheldakova Yu.V. Adaptivnaya opticheskaya sistema dlya korrektsii 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.
  15. Artyshchenko S.V., Golovinskij P.A., Chernov R.A. Vosstanovlenie fazy volnovogo fronta s ispol'zovaniem kompleksnoj nejronnoj seti // Optika atmosf. i okeana. 2014. V. 27, N 10. P. 932–936.
  16. Noll R.J. Zernike polynomials and atmosphere turbulence // J. Opt. Soc. Am. 1976. V. 66, № 3. P. 207–211.
  17. Shlenov S.A., Vasil'tsov V.V., Kandidov V.P. Energeticheskie harakteristiki izlucheniya CO2-lazera pri fokusirovke v turbulentnoj atmosfere v usloviyah vetrovoj refraktsii // Optika atmosf. i okeana. 2016. V. 29, N 3. P. 177–183; Shlenov S.A., Vasiltsov V.V., Kandidov V.P. Energy parameters of CO2 laser radiation focused in a turbulent atmosphere under wind-dominated thermal blooming // Atmos. Ocean. Opt. 2016. V. 29, N 4. P. 324–330.
  18. Yagnyatinskij D.A., Lyahov D.M., Borshchevnikov A.N., Fedoseev V.N. Algoritm upravleniya adaptivnoj opticheskoj sistemoj na osnove minimizatsii radiusa fokal'nogo pyatna // Optika atmosf. i okeana. 2016. V. 29, N 11. P. 949–953; Yagnyatinskiy D.A., Lyakhov D.M., Borshevnikov A.N., Fedoseyev V.N. A control algorithm for an adaptive optics system based on the focal spot radius minimization // Atmos. Ocean. Opt. 2017. V. 30, N 2. P. 198–202.
  19. Bokalo S.Yu., Bokashov I.M., Lyahov D.M., Pikulev S.V., Chernyh A.V. Stabilizatsiya astronomicheskih izobrazhenij s pomoshch'yu upravlyaemogo ploskogo zerkala // Avtometriya. 2018. V. 54, N 1. P. 54–60.
  20. Borshevnikov A.N., Dement'ev D.A., Leonov E.V., Lyahov D.M., Sohareva G.N., Chernyh A.V., Shanin Yu.I., Shchipalkin V.I. Upravlenie adaptivnoj opticheskoj sistemoj s deformiruemymi zerkalami nizkogo i vysokogo prostranstvennyh razreshenij // Avtometriya. 2018. V. 54, N 3. P. 119–125.
  21. Shanin O.I. Adaptivnye opticheskie sistemy korrektsii naklonov. Rezonansnaya adaptivnaya optika. M.: Tekhnosfera, 2013. 296 p.