激光相干合成系统中SPGD算法的自适应优化
|
摘要
激光相干合成技术是目前最常用的实现高功率激光输出的方式,各路光束间的相位不一致是影响相干合成效果的重要因素。研究了用于控制相位的SPGD算法,探讨了SPGD算法的参数优化方法,提出了一种自适应增益策略,并通过仿真分析了固定增益和自适应增益算法的收敛速度、收敛精度。仿真结果表明,通过算法参数的优化选取和自适应增益方法,能够将算法的收敛速度提高12.7%,收敛精度提高0.23%,得到了较好的收敛效果。
Laser coherent combining technology is the most commonly way to achieve high-power laser. The phase difference between the beams is an important influence factor of the coherent combining. The SPGD algorithm for phase control is studied. The parameter optimization method of SPGD algorithm is discussed, and an adaptive gain strategy is proposed. The convergence speed and precision of the fixed gain and adaptive gain algorithm are analyzed by simulation. The simulation results show that the convergence speed of the algorithm is improved by 12.7% and the convergence precision is improved by 0.23% when using the optimization of the algorithm parameters and the adaptive gain method.
Laser coherent combining technology is the most commonly way to achieve high-power laser. The phase difference between the beams is an important influence factor of the coherent combining. The SPGD algorithm for phase control is studied. The parameter optimization method of SPGD algorithm is discussed, and an adaptive gain strategy is proposed. The convergence speed and precision of the fixed gain and adaptive gain algorithm are analyzed by simulation. The simulation results show that the convergence speed of the algorithm is improved by 12.7% and the convergence precision is improved by 0.23% when using the optimization of the algorithm parameters and the adaptive gain method.
引文
[1] 王小林,周朴,粟荣涛,等.高功率光纤激光相干合成的现状、趋势与挑战[J].中国激光,2017,44(2):3—28.Wang Xiaolin,Zhou Pu,Li Rongtao,et al.Current situation,tendency and challenge of coherent combining of high power fiber lasers[J].Chinese Journal of Lasers,2017,44(2):3—28.
[2] Liu L,Vorontsov M A,Polnau E,et al.Adaptive phase-locked fiber array with wavefront phase tip-tilt compensation using piezoelectric fiber positioners[J].Proceedings of SPIE - The International Society for Optical Engineering,2007,6708(67080K):1—12.
[3] Liu L.Analysis and experimental demonstration of conformal adaptive phase-locked fiber array for laser communications and beam projection applications[J].Dissertations & Theses - Gradworks,2008,6708(67080D):1—9.
[4] 刘泽金,周朴,侯静,等.主动相位控制光纤激光相干合成的研究[J].中国激光,2009,36(3):518—524.Liu Zejin,Zhou Pu,Hou Jin,et al.Research of coherent beam combining using actively phase controlling[J].Chinese Journal of Lasers,2009,36(3):518—524.
[5] Augst S J,Fan T Y,Sanchez A.Coherent beam combining and phase noise measurements of ytterbium fiber amplifiers[J].Optics Letters,2004,29(5):474.
[6] Ling Liu,Dimitrios N.Loizos,Mikhail A.Vorontsov,et al.Coherent combining of multiple beams with multi-dithering technique:100 KHz closed-loop compensation demonstration[J].Proceedings of SPIE - The International Society for Optical Engineering,2007:6708.
[7] Zhou P,Liu Z,Wang X,et al.Coherent beam combining of two fiber amplifiers using stochastic parallel gradient descent algorithm[J].Optics & Laser Technology,2009,41(7):853—856.
[8] Vorontsov M A,Carhart G W,Ricklin J C.Adaptive phase-distortion correction based on parallel gradient-descent optimization[J].Optics Letters,1997,22(12):907—909.
[9] 高春清,张世坤,付时尧,等.涡旋光束的自适应光学波前校正技术[J].红外与激光工程,2017,46(02):8—13.Gao Chunqin,Zhao Shikun,Fu Shirao,et al.Adaptive optics wavefront correction techniques of vortex beams[J].Infrared and Laser Engineering,2017,46(02):8—13.
[10] Geng C ,Luo W ,Tan Y ,et al.Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control[J].Optics Express,2013,21(21):25045—25055.
[11] Wu K ,Sun Y ,Huai Y ,et al.Multi-perturbation stochastic parallel gradient descent method for wavefront correction[J].Optics Express,2015,23(3):2933.
[12] Weyrauch T,Vorontsov M A,Bifano T G,et al.Microscale adaptive optics:wave-front control with a mu-mirror array and a vlsi stochastic gradient descent controller[J].Applied Optics,2001,40(24):4243.
[13] 黄智蒙,唐选,刘仓理,等.变增益随机并行梯度下降算法及其在相干合成中的应用[J].中国激光,2015,42(4):22—32.Huang Zhimeng,Tang Xuan,Liu Cangli,et al.Stochastic parallel gradient descent algorithm with a variable gain coefficient and its application in coherent beam combining[J].Chinese Journal of Lasers,2015,42(4):22—32.
[14] Yang G ,Liu L ,Jiang Z ,et al.Improved SPGD algorithm to avoid local extremum for incoherent beam combining[J].Optics Communications,2017,382(382):547—555.
[15] Yang G,Liu L,Jiang Z,et al.Incoherent beam combining based on the momentum SPGD algorithm[J].Optics & Laser Technology,2018,101:372—378.
[16] 张森,张军伟,母杰,等.基于随机并行梯度下降算法的相干合成动态相差控制与带宽分析[J].光学学报,2018,38(05):163—171.Zhang Sen,Zhang Junwei,Mu Jie,et al.Dynamical phase error control and bandwidth analysis for coherent beam combination based on stochastic parallel gradient descent algorithm[J].Acta Optica Sinica,2018,38(05):163—171.
[17] Lachinova S L,Valley M T,Vorontsov M A,et al.Target-in-the-Loop:atmospheric tracking,imaging,and compensation ii - performance analysis of an adaptive phase-locked tiled fiber array in atmospheric turbulence conditions[J].Proceedings of SPIE - The International Society for Optical Engineering,2005,5895(58950O):1—14.
[18] Aubailly M,Vorontsov M A.Imaging with an array of adaptive subapertures[J].Optics Letters,2008,33(1):10.
[2] Liu L,Vorontsov M A,Polnau E,et al.Adaptive phase-locked fiber array with wavefront phase tip-tilt compensation using piezoelectric fiber positioners[J].Proceedings of SPIE - The International Society for Optical Engineering,2007,6708(67080K):1—12.
[3] Liu L.Analysis and experimental demonstration of conformal adaptive phase-locked fiber array for laser communications and beam projection applications[J].Dissertations & Theses - Gradworks,2008,6708(67080D):1—9.
[4] 刘泽金,周朴,侯静,等.主动相位控制光纤激光相干合成的研究[J].中国激光,2009,36(3):518—524.Liu Zejin,Zhou Pu,Hou Jin,et al.Research of coherent beam combining using actively phase controlling[J].Chinese Journal of Lasers,2009,36(3):518—524.
[5] Augst S J,Fan T Y,Sanchez A.Coherent beam combining and phase noise measurements of ytterbium fiber amplifiers[J].Optics Letters,2004,29(5):474.
[6] Ling Liu,Dimitrios N.Loizos,Mikhail A.Vorontsov,et al.Coherent combining of multiple beams with multi-dithering technique:100 KHz closed-loop compensation demonstration[J].Proceedings of SPIE - The International Society for Optical Engineering,2007:6708.
[7] Zhou P,Liu Z,Wang X,et al.Coherent beam combining of two fiber amplifiers using stochastic parallel gradient descent algorithm[J].Optics & Laser Technology,2009,41(7):853—856.
[8] Vorontsov M A,Carhart G W,Ricklin J C.Adaptive phase-distortion correction based on parallel gradient-descent optimization[J].Optics Letters,1997,22(12):907—909.
[9] 高春清,张世坤,付时尧,等.涡旋光束的自适应光学波前校正技术[J].红外与激光工程,2017,46(02):8—13.Gao Chunqin,Zhao Shikun,Fu Shirao,et al.Adaptive optics wavefront correction techniques of vortex beams[J].Infrared and Laser Engineering,2017,46(02):8—13.
[10] Geng C ,Luo W ,Tan Y ,et al.Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control[J].Optics Express,2013,21(21):25045—25055.
[11] Wu K ,Sun Y ,Huai Y ,et al.Multi-perturbation stochastic parallel gradient descent method for wavefront correction[J].Optics Express,2015,23(3):2933.
[12] Weyrauch T,Vorontsov M A,Bifano T G,et al.Microscale adaptive optics:wave-front control with a mu-mirror array and a vlsi stochastic gradient descent controller[J].Applied Optics,2001,40(24):4243.
[13] 黄智蒙,唐选,刘仓理,等.变增益随机并行梯度下降算法及其在相干合成中的应用[J].中国激光,2015,42(4):22—32.Huang Zhimeng,Tang Xuan,Liu Cangli,et al.Stochastic parallel gradient descent algorithm with a variable gain coefficient and its application in coherent beam combining[J].Chinese Journal of Lasers,2015,42(4):22—32.
[14] Yang G ,Liu L ,Jiang Z ,et al.Improved SPGD algorithm to avoid local extremum for incoherent beam combining[J].Optics Communications,2017,382(382):547—555.
[15] Yang G,Liu L,Jiang Z,et al.Incoherent beam combining based on the momentum SPGD algorithm[J].Optics & Laser Technology,2018,101:372—378.
[16] 张森,张军伟,母杰,等.基于随机并行梯度下降算法的相干合成动态相差控制与带宽分析[J].光学学报,2018,38(05):163—171.Zhang Sen,Zhang Junwei,Mu Jie,et al.Dynamical phase error control and bandwidth analysis for coherent beam combination based on stochastic parallel gradient descent algorithm[J].Acta Optica Sinica,2018,38(05):163—171.
[17] Lachinova S L,Valley M T,Vorontsov M A,et al.Target-in-the-Loop:atmospheric tracking,imaging,and compensation ii - performance analysis of an adaptive phase-locked tiled fiber array in atmospheric turbulence conditions[J].Proceedings of SPIE - The International Society for Optical Engineering,2005,5895(58950O):1—14.
[18] Aubailly M,Vorontsov M A.Imaging with an array of adaptive subapertures[J].Optics Letters,2008,33(1):10.