Increasing the efficiency of coupling optical fiber with an atmospheric communication channel by using adaptive optics

Toporovskiy, V.V., Galaktionov I.V., Kazantsev S.Y., Kolesnikov O.V.

For Russian citation (Opticheskii Zhurnal):

Топоровский В.В., Галактионов И.В., Казанцев С.Ю., Колесников О.В. Увеличение эффективности сопряжения оптического волокна с атмосферным каналом связи путём использования средств адаптивной оптики // Оптический журнал. 2026. Т. 93. № 8. С. 74–83. http://doi.org/10.17586/1023-5086-2023-93-08-74-83

Toporovsky V.V., Galaktionov I.V., Kazantsev S.Yu., Kolesnikov O.V. Increasing the efficiency of coupling optical fiber with an atmospheric communication channel by using adaptive optics [in Russian] // Opticheskii Zhurnal. 2026. V. 93. № 8. P. 74–83. http://doi.org/10.17586/1023-5086-2026-93-08-74-83

For citation (Journal of Optical Technology):

Abstract:

Subject of study. Efficiency of coupling an optical fiber with an atmospheric communication channel. Aim of study. The creation of a setup simulating an atmospheric optical communication channel with an atmospheric turbulence generator, the spectrum of which is identical to real turbulence with correction of phase fluctuations using a closed-loop adaptive optical system with two laser radiation sources: 1550 nm — for transmitting the main radiation, and attenuated radiation of 830 nm, which is used to analyze the characteristics of turbulence on a Shack–Hartmann wavefront sensor to increase the signal level in the receiving optical fiber when laser radiation passes through a layer of artificially generated atmospheric turbulence. Method. The wavefront of propagating laser radiation was analyzed using a diagnostic rig with a fan-type artificial atmospheric turbulence generator and a Shack–Hartmann sensor. Using a phase conjugation algorithm, deviations of the real beam focal spots from the desired coordinates were minimized, taking into account the response functions of individual control elements of a bimorph deformable mirror. The effectiveness of wavefront aberration correction was assessed based on the signal level on a power analyzer coupled to the optical fiber. Main results. Using a laser wavefront aberration correction system based on a bimorph deformable mirror and a Shack-Hartmann wavefront sensor allows for an increase in the signal level on the optical fiber by 1.3 dB. Practical significance. The results obtained in this work can be used in atmospheric optical communication links to increase the efficiency of laser radiation transmission.

Keywords:

adaptive optics, piezoelectric deformable mirrors, Zernike polynomials, Shack–Hartmann wavefront sensor

OCIS codes: 230.4040, 220.1080, 010.1285, 060.2605

References:

1. Aarthi G., Ramachandra G. R. Average spectral efficiency analysis of FSO links over turbulence channel with adaptive transmissions and aperture averaging // Optics Communications. 2018. V. 410. P. 896–902. DOI: 10.1016/j.optcom.2017.1063

2. Schiavon M., Vanzo A., Campaci K., Marulanda Acosta V., Bonora S. Multi-actuator lens systems for turbulence correction in free-space optical communications // Photonics. 2025. V. 1 P. 870. DOI: 10.3390/photonics12090870

3. Willner A.E., Zhou H., Duan Y., Jiang Z., Ramakrishnan M., Su X., Zou K., Pang K. Advances in multi-channel mid-IR free-space optical communications // J. Lightwave Technol. 2024. V. 42. P. 6739–6748. DOI: 10.1109/JLT.2024.3411514

4. Han M., Joharifar M., Wang M., Schatz R., Puerta R., Sun Y., Fan Y., Maisons G., Abautret J., Teissier R., Zhang L., Spolitis S., Bobrovs V., Lourdudoss S., Yu X., Popov S., Ozolins O., Pang Han X. High spectral efficiency long-wave infrared free-space optical transmission with multilevel signals // J. Lightwave Technol. 2023. V. 41. P. 6514–6520.DOI: 10.1109/JLT.2023.3287934

5. Churnside J. Aperture averaging of optical scintillation in the turbulent atmosphere // Appl. Opt. 1991. V. 30. № 1 P. 1982–1994. DOI: 10.1364/AO.30.001982

6. Hocking W.K. Measurement of turbulent energy dissipation rates in the middle atmosphere by radar techniques: a review // Radio Sci. 1985. V. 20. № P. 1403–1422. DOI: 10.1029/RS020i006p01403

7. Latteck R., Singer W., Hocking W.K. Measurement of turbulent kinetic energy dissipation rates in the mesosphere by a 3MHz Doppler radar // Adv. Space Res. 2005. V. 35. № 11. P. 1905–1910. DOI: 10.1016/j.asr.2005.06.056

8. Nistazakis H.E., Tsiftsis T.A., Tombras G.S. Performance analysis of free-space optical communication systems over atmospheric turbulence channels // IET Commun. 2009. V. 3. № P. 1402–1409. DOI: 10.1049/iet-com.2000212

9. Vetelino F.S., Young C., Andrews L. Fade statistics and aperture averaging for Gaussian beam waves in moderate-to-strong turbulence // Appl. Opt. 2007. V. 46. P. 3780–378 DOI: 10.1364/AO.46.003780

10. Khalighi M., Schwartz N., Aitamer N., Bourennane S. Fading reduction by aperture averaging and spatial diversity in optical wireless systems // J. Opt. Commun. Netw. 2009. V. 1. P. 580–593. DOI: 1364/JOCN.1.000580

11. Носов В.В., Лукин В.П., Носов Е.В., Торгаев А.В. Определение типа атмосферной турбулентности по данным метеорологических измерений, поступающим в оперативном режиме // Оптика атмосферы и океана. 2024. Т. 37. № 7. С. 563–571. DOI: 10.15372/AOO20240704

Nosov V.V., Lukin V.P., Nosov E.V., Torgaev A.V. Determination of the type of atmospheric turbulence according to meteorological measurements received online // Optics of the atmosphere and ocean. 2024. V. 37. № 7. P. 563–571. DOI: 10.15372/AOO20240704

12. Shikhovtsev A.Yu. Reference optical turbulence characteristics at the Large Solar Vacuum Telescope site // Publications of the Astronomical Society of Japan. 2024. V. 76. № 3. P. 538–549. DOI: 10.1093/pasj/psae031

13. Топоровский В.В. Измерение фазовых аберраций волнового фронта при распространении лазерного излучения в искусственно генерируемой атмосферной турбулентности // Электросвязь. 2025. № 11. С. 85–93. DOI: 10.34832/ELSV.2025.73.11.011

Toporovskiy V.V. Measurement of wavefront phase aberrations during laser radiation propagation in artificially generated atmospheric turbulence // Telecommunication. 2025. № 11. P. 85–93. DOI: 10.34832/ELSV.2025.73.11.011

14. Alamouti S.M. A simple transmit diversity technique for wireless communications // IEEE J. Select. Areas Commun. 1998. V. 16. № 8. P. 1451–1458. DOI: 10.1109/49.730453

15. Galaktionov I., Toporovsky V. Performance analysis of an optical system for FSO communications utilizing combined stochastic gradient descent optimization algorithm // Appl. Syst. Innov. 2025. V. 8. P. 143. DOI: /10.3390/asi8050143

16. Belmonte A., Kahn J.M. Sequential optimization of adaptive arrays in coherent laser communications // J. Lightwave Technol. 2013. V. 31. № 9. P. 1383–1387. DOI: 10.1109/JLT.2013.2250484

17. Galaktionov I., Toporovsky V. Gradient descent algorithm for automatic optimization of a laser beam cross-section in free-space optical communication applications // Lecture Notes in Electrical Engineering. 2026. V. 1521. P. 231–240. DOI: 10.1007/978-3-032-14742-4_20

18. Galaktionov I., Toporovsky V. A multi-deformable-mirror 500 Hz adaptive optical system for atmospheric turbulence simulation, real-time reconstruction, and wavefront correction using bimorph and tip-tilt correctors // Photonics. 2025. V. 12. P. 592. DOI: 10.3390/photonics12060592

19. Hogge C.B., Butts R.R. Effects of using different wavelengths in wavefront sensing and correction // Journal of the Optical Society of America. 1982. V. 72. P. 606–609. DOI: 10.1364/JOSA.72.000606

20. Winocur J. Dual-wavelength adaptive optical systems // Appl. Opt. 1983. V. 22. P. 3711–3715. DOI: 10.1364/AO.22.003711

21. Gorelaya A.V., Shubenkova E.V., Dmitriev D.I. Investigation of dual-wavelength laser beam propagation along the in-door atmospheric path // Optics in Atmospheric Propagation & Adaptive Systems XVIII, International Society for Optics and Photonics. 2015. V. 4. P. 61–65. DOI: 10.1117/12.2194332

22. Лукин В.П. Эффективность двухцветной адаптивной оптической системы // Квантовая электроника. 1988. Т. 15. С. 1856–1861. Lukin V.P. Efficiency of a two-color adaptive optical system // Quantum electronics. 1988. V. 15. P. 1856–1861.

23. Zuev V.E., Konyaev P.A., Lukin V.P. Minimization of atmospheric distortion of optical waves in adaptive optics // Soviet Physics Journal. 1985. V. 28. P. 859–878.

24. Toporovsky V., Galaktionov I. Modal wavefront reconstruction of fixed aberrations for piezoelectric deformable mirrors // Lecture Notes in Electrical Engineering. 2026. V. 1521. P. 286–298. DOI: 10.1007/978-3-032-14742-4_25