Stabilization of the direction of propagation of a wide-aperture light beam using quadrant photodiodes

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Abstract

This article addresses the problem of stabilizing the propagation direction of wide-aperture laser beams when the beam size significantly exceeds the dimensions of standard quadrant photodetectors. Two fundamental stabilization schemes are analyzed: with dependent and independent control loops. It is shown that the former has a fundamental limitation due to the highly dependent nature of the influence matrix. As a solution, a system with two independent loops is proposed, which does not require matrix calculations and demonstrates high beam positioning accuracy sufficient for practical application in laser long-distance communication and focusing systems.

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About the authors

Alexey L. Rukosuev

M.A. Sadovsky Institute of Geosphere Dynamics of the Russian Academy of Sciences

Author for correspondence.
Email: alru@nightn.ru
ORCID iD: 0000-0003-3354-0460

Cand.of Sc.(Phys.&Math.), researcher, Laboratory of Atmospheric Adaptive Optics

Russian Federation, Moscow

Alexander G. Alexandrov

M.A. Sadovsky Institute of Geosphere Dynamics of the Russian Academy of Sciences

Email: alex@activeoptics.ru
ORCID iD: 0000-0003-1265-6122

researcher, Laboratory of Atmospheric Adaptive Optics

Russian Federation, Moscow

Alexander N. Nikitin

M.A. Sadovsky Institute of Geosphere Dynamics of the Russian Academy of Sciences

Email: nikitin@activeoptics.ru
ORCID iD: 0000-0002-6636-905X
Scopus Author ID: 56647558000

researcher, Laboratory "Atmospheric Adaptive Optics"

Russian Federation, Moscow

Alexander A. Soloviev

Institute of Applied Physics

Email: so_lo@ipfran.ru
ORCID iD: 0000-0001-8595-5604

Cand.of Sc.(Phys.&Math.), Head of the Laboratory of Laser Accelerators and Astrophysical Plasma, Department of Nonlinear and Laser Optics

Russian Federation, Nizhny Novgorod

Konstantin F. Burdonov

Institute of Applied Physics

Email: k.burdonov@ipfran.ru
ORCID iD: 0000-0002-0416-2782

Senior Researcher, Laboratory of Laser Accelerators and Astrophysical Plasma, Department of Nonlinear and Laser Optics

Russian Federation, Nizhny Novgorod

Yulia V. Sheldakova

M.A. Sadovsky Institute of Geosphere Dynamics of the Russian Academy of Sciences

Email: sheldakova@nightn.ru
ORCID iD: 0000-0002-5160-1194

Cand.of Sc.(Phys.&Math.), Senior Researcher, Atmospheric Adaptive Optics Laboratory

Russian Federation, Moscow

Alexey V. Kudryashov

M.A. Sadovsky Institute of Geosphere Dynamics of the Russian Academy of Sciences

Email: alru@nightn.ru
ORCID iD: 0000-0002-7856-2834

Dr.of Sc.(Phys.&Math.), Professor, Head of the Atmospheric Adaptive Optics Laboratory

Russian Federation, Moscow

References

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  8. Kudryashov A. V., Samarkin V. V., Sheldakova Yu.V., Aleksandrov A. G. Analysis of the method of wavefront compensation when using the Shack-Hartmann sensor as an element of the adaptive optical system. AUTOMETRY. 2012; 48 (2): 52–56. (Kudryashov A. V., Samarkin V. V., Sheldakova Y. V., Aleksandrov A. G. Wavefront compensation method using a Shack-Hartmann sensor as an adaptive optical element system. Optoelectronics, Instrumentation and Data Processing 2012; 48 (2): 153–158). Кудряшов А. В., Самаркин В. В., Шелдакова Ю. В., Александров А. Г. Анализ способа компенсации волнового фронта при использовании датчика Шака-Гартмана как элемента адаптивной оптической системы. АВТОМЕТРИЯ, 2012; 48(2): 52–56. (Kudryashov, A.V., Samarkin, V.V., Sheldakova, Y.V., Aleksandrov, A. G. Wavefront compensation method using a Shack-Hartmann sensor as an adaptive optical element system. Optoelectronics, Instrumentation and Data Processing 2012; 48 (2): 153–158).
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  10. Kudryashov A., Rukosuev A., Nikitin A., Sheldakova J. Real-time 1.5 kHz adaptive optical system to correct for atmospheric turbulence, Opt. Express, 2020; 28(25): 37546–37552. doi: 10.1364/OE.409201.

Supplementary files

Supplementary Files
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1. JATS XML
2. Fig. 1. Wavefront tilt corrector

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3. Fig. 2. Diagram of the arrangement of light-sensitive areas of the FD-22-133K quadrant sensor

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4. Fig. 3. Dependence of the calculated beam position on the actual displacement for the X-axis for different beam diameters – 6.08 mm; 5 mm; 4.3 mm; 3 mm; 2 mm

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5. Fig. 4. Schematic of the beam stabilization system in space with sensors placed after the tip-tilt correctors

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6. Fig. 5. An example of stabilizing the position of a thin beam in a system with two dependent control loops

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7. Fig. 6. Stabilization system with two independent control loops

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8. Fig. 7. Occurrence of correction error when conjugation between the 1st sensor and the 2nd tilt corrector (KH2) is violated

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9. Fig. 8. Dependence of the error on the degree of inaccuracy of conjugation between the 1st sensor and the 2nd tilt corrector (KH2)

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10. Fig. 9. Example of the integral of frequency spectrum of ground-level (tilt angle 15 deg) wavefront tilt fluctuations at a distance of 1.8 km

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Copyright (c) 2025 Rukosuev A.L., Alexandrov A.G., Nikitin A.N., Soloviev A.A., Burdonov K.F., Sheldakova Y.V., Kudryashov A.V.