Volume 7Issue 2
Mar. 2014
Turn off MathJax
Article Contents
LIU Lei, GUO Jin, ZHAO Shuai, JIANG Zhen-hua, SUN Tao, WANG Ting-feng. Application of stochastic parallel gradient descent algorithm in laser beam shaping[J]. Chinese Optics, 2014, 7(2): 260-266. doi: 10.3788/CO.20140702.0260
Citation: LIU Lei, GUO Jin, ZHAO Shuai, JIANG Zhen-hua, SUN Tao, WANG Ting-feng. Application of stochastic parallel gradient descent algorithm in laser beam shaping[J].Chinese Optics, 2014, 7(2): 260-266.doi:10.3788/CO.20140702.0260

Application of stochastic parallel gradient descent algorithm in laser beam shaping

doi:10.3788/CO.20140702.0260
  • Received Date:15 Oct 2013
  • Rev Recd Date:17 Feb 2014
  • Publish Date:25 Mar 2014
  • In the field of laser applications, in order to meet the need of high laser beam quality, correct the wave-front aberration generated during the transmission of laser beam and improve the laser phase distribution, thereby increase the energy concentration of the beam focusing spot, a set of laser beam shaping experimental system is built based on a 79-channel micromachine membrane deformable mirror(MMDM). By using stochastic parallel gradient descent(SPGD) algorithm, the laser beam shaping experiment is carried out respectively with three performance indexes:radius of the focused spot, encircled energy ratio with geometric center as the center, and encircled energy ratio with centroid as the center. In the three cases, convergences come forth after about 58 times, 197 times, 133 times of iterations, respectively, but the evolution curve of spot radius oscillates seriously. Encircled energy ratios increase from 0.200 5, 0.127 7, 0.200 5 before shaping to 0.669 9, 0.733 9, 0.864 0 after shaping, respectively. The results of experiments show that MMDM can be used for laser beam shaping with well results. The shaping speed is fastest with spot radius as the performance index, followed by encircled energy ratio of centroid and encircled energy ratio of geometric center. The shaping effect is best with encircled energy ratio of centroid, followed by the encircled energy ratio of geometric center and spot radius. After synthetical comparison, it is best to choose encircled energy ratio of centroid as the performance index.

  • loading
  • [1] FRIEDEN B R. Lossless conversion of a plane laser wave to a plane wave of uniform irradiance[J]. Appl. Opt., 1965, 4(11):1400-1403. [2] SHEALY D L, CHAO S H. Geometric optics-based design of laser beam shapers[J]. Opt. Eng., 2003, 42(11):3123-3138. [3] 张振荣, 王晟, 李国华, 等. 平面 诱导荧光实验中激励 的光束整形[J]. 中国光学, 2013, 6(3):359-364. ZHANG ZH R, WANG SH, LI G H, et al.. Exciting laser beam shaping in planar laser-induced fluorescence experiment[J]. Chinese Optics, 2013, 6(3):359-364.(in Chinese) [4] 孟祥翔, 刘伟奇, 柳华, 等. 反射式椭圆高斯光束平顶整形系统[J]. 发光学报, 2013, 34(7):940-947. MENG X X, LIU W Q, LIU H, et al.. A reflective optical system for converting elliptical Gaussian laser beam to flat-top beam[J]. Chin. J. Lumin., 2013, 34(7):940-947.(in Chinese) [5] 高瑀含, 安志勇, 李娜娜, 等. 高斯光束整形系统的光学设计[J]. 光学 精密工程, 2011, 19(7):1464-1471. GAO Y H, AN ZH Y, LI N N, et al.. Optical design of Gaussian beam shaping[J]. Opt. Precision Eng., 2011, 19(7):1464-1471.(in Chinese) [6] 蒋鹏志, 马浩统, 袁凌峰, 等. 基于并行梯度下降算法的自适应任意口径光束整形[J]. 中国 , 2011, 38(12):42-46. JIANG P ZH, MA H T, YUAN L F, et al.. Shaped beam of arbitrary size with adaptive optics based on stochastic parallel gradient descent control algorithm[J]. Chinese J. Lasers, 2011, 38(12):42-46.(in Chinese) [7] 王卫兵, 赵帅, 郭劲, 等. 遗传算法在 整形中的应用[J]. 与红外, 2012, 42(10):1115-1119. WANG W B, ZHAO SH, GUO J, et al.. Genetic algorithm used in laser shaping[J]. Laser Infrared, 2012, 42(10):1115-1119.(in Chinese) [8] YANG P, LIU L, YANG W, et al.. An adaptive laser beam shaping technique based on a genetic algorithm[J]. Chinese Optics Letters, 2007, 5(9):497-500. [9] 余湛, 马浩统, 杜少军. 基于模拟退火算法的自适应近场光束整形[J]. 光学学报, 2011, 31(3):0314003-1-5. YU ZH, MA H T, DU SH J. Adaptive near-field beam shaping based on simulated annealing algorithm[J]. Acta Optica Sinica, 2011, 31(3):0314003-1-5.(in Chinese) [10] 刘莹, 马剑强, 何挺, 等. 模拟退火-爬山混合算法用于无波前传感器快速像差校正[J]. 光学 精密工程, 2012, 20(2):213-219. LIU Y, MA J Q, HE T, et al.. Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor[J]. Opt. Precision Eng., 2012, 20(2):213-219.(in Chinese) [11] 王卫兵, 赵帅, 郭劲, 等. 基于Zernike模式的随机并行梯度下降算法的收敛速率[J]. 中国光学, 2012, 5(4):407-415. WANG W B, ZHAO SH, GUO J, et al.. Convergence rate of stochastic parallel gradient descent algorithm based on Zernike mode[J]. Chinese Optics, 2012, 5(4):407-415.(in Chinese) [12] 梁永辉, 王三宏, 龙学军, 等. 随机并行梯度下降光束净化实验研究[J]. 光学学报, 2008, 28(4):613-618. LIANG Y H, WANG S H, LONG X J, et al.. Experimental explorations of the laser beam cleanup system based on stochastic parallel-gradient-descent algorithm[J]. Acta Optica Sinica, 2008, 28(4):613-618.(in Chinese) [13] VORONTSOV M A, CARHART G W, RICKLIN J C. Adaptive phase-distortion correction based on parallel gradient-descent optimization[J]. Opt. Lett., 1997, 22(12):907-909. 周仁忠.自适应光学[M]. 北京:国防工业出版社, 1996. ZHOU R ZH. Adaptive Optics[M]. Beijing:National Defense Industry Press, 1996.(in Chinese) [15] 晏虎, 雷翔, 刘文劲, 等. 37单元双压电片变形镜板条 光束净化[J]. 强 与粒子束, 2012, 24(7):1663-1666. YAN H, LEI X, LIU W J, et al.. Beam cleanup of slab laser with 37-element bimorph deformable mirror[J]. High Power Laser and Particle Beams, 2012, 24(7):1663-1666.(in Chinese) [16] 林旭东, 薛陈, 刘欣悦, 等. 自适应光学波前校正技术发展现状[J]. 中国光学, 2012, 5(4):337-351. LIN X D, XUE CH, LIU X Y, et al.. Current status and research development of wavefront correctors for adaptive optics[J]. Chinese Optics, 2012, 5(4):337-351.(in Chinese) [17] 李邦明. 基于微机械薄膜变形镜的像差校正技术及其应用[D].南京:南京航空航天大学, 2010. LI B M. Technology and application of aberration correction based on micromachined membrane deformable mirror[D]. Nanjing:Graduate School of Nanjing University of Aeronautics and Astronautics, 2010.(in Chinese) [18] 贾建禄, 王建立, 赵金宇, 等. 可扩展式自适应光学系统波前处理器的硬件设计[J]. 液晶与显示, 2011, 26(3):370-373. JIA J L, WANG J L, ZHAO J Y, et al.. Hardware design for extendible adaptive optics system wave-front processor[J]. Chinese J. Liquid Crystals and Displays, 2011, 26(3):370-373.(in Chinese) [19] 陈 浩, 宣丽, 胡立发, 等. 望远镜的紧凑型闭环液晶自适应光学系统设计[J]. 液晶与显示, 2010, 25(3):379-385. CHEN H, XUAN L, HU L F, et al.. Design on compact type closed-loop liquid crystal adaptive optical system for telescope[J]. Chinese J. Liquid Crystals and Displays, 2010, 25(3):379-385.(in Chinese) [20] VORONTSOV M A, CARHART G W, COHEN M, et al.. Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration[J]. J. Opt. Soc. Am. A, 2000, 17(8):1440-1453.
  • 加载中

Catalog

    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Article views(1407) PDF downloads(621) Cited by()
    Proportional views

    /

      Return
      Return
        Baidu
        map