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Adaptive optical system based on the Gerchberg-Saxton algorithm for phase locking of single-mode laser radiators


A method for active phase locking of laser sources in a multichannel laser system based on the Gerchberg-Saxton algorithm is considered. A global optimization-based strategy for retrieving phase information is proposed. The system is simulated numerically for a different number of phased channels.

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  1. 1.

    T. Y. Fan, “Laser beam combination for high-power, high-radiance sources,” IEEE J. Select. Topics Quant. Electron. 11(3), 567–577 (2005).

    Article  Google Scholar 

  2. 2.

    K. N. LaFortune, R. L. Hurd, S. N. Fochs, M. D. Rotter, P. H. Pax, R. L. Combs, S. S. Olivier, J. M. Brase, and R. M. Yamamoto, “Technical challenges for the future of high energy lasers,” Proc. SPIE-Int. Soc. Opt. Eng. 6454, 645400–1 (2007).

    Google Scholar 

  3. 3.

    M. A. Vorontsov and S. L. Lachinova, “Laser beam projection with adaptive array of fiber collimators,” J. Opt. Soc. Amer., A 25(8), 1949–1973 (2008).

    Article  ADS  Google Scholar 

  4. 4.

    D. V. Vysotskii, N. N. Elkin, and A. P. Napartovich, “Radiation phase locking in an array of globally coupled fibre lasers,” Quantum Electron. 40(10), 861–867 (2010).

    Article  ADS  Google Scholar 

  5. 5.

    T. R. O’Meara, “The multidither principle in adaptive optics”, J. Opt. Soc. Am. 67, 306–315 (1977).

    Article  ADS  Google Scholar 

  6. 6.

    T. M. Shay, J. T. Baker, A. D. Sanchez, C. A. Robin, C. L. Vergien, C. Zerinque, D. Gallant, C. A. Lu, B. Pulford, T. J. Bronder, and A. Lucero, “High power phase locking of a fiber amplifier array,” Proc. SPIE-Int. Soc. Opt. Eng. 7195, 7195M-1–7195M-6 (2009).

    ADS  Google Scholar 

  7. 7.

    M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction,” J. Opt. Soc. Amer., A 15(10), 2745–2758 (1998).

    Article  ADS  Google Scholar 

  8. 8.

    M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, K. Aschenbach, “Adaptive array of phaselocked fiber collimators: Analysis and experimental demonstration,” IEEE J. Select. Topics Quant. Electron. 15(2), 269–280 (2009).

    Article  Google Scholar 

  9. 9.

    R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35(2), 237–246 (1972).

    Google Scholar 

  10. 10.

    S. D. Pol’skikh, “The phase problem: Analysis of local extrema and image reconstruction algorithms,” J. Comm. Tech. Electronics 53(2), 208–221 (2008).

    Article  Google Scholar 

  11. 11.

    A. A. Zhiglyavskii and A. G. Zhilinskas, Global Extremum Search Method (Nauka, Moscow, 1991) [in Russian].

    Google Scholar 

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Correspondence to S. D. Pol’skikh.

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Original Russian Text © S.D. Pol’skikh, P.A. Semenov, 2014, published in Optika Atmosfery i Okeana.

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Pol’skikh, S.D., Semenov, P.A. Adaptive optical system based on the Gerchberg-Saxton algorithm for phase locking of single-mode laser radiators. Atmos Ocean Opt 27, 355–359 (2014).

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  • adaptive optics
  • multichannel laser systems
  • phase-locking
  • Gerchberg-Saxton algorithm
  • global optimization