并行模拟退火算法优化衍射光学元件设计

模拟退火（SA）是解决复杂非线性优化问题的好工具，开发其并行性也成为近些年的研究热点和方向。针对衍射光学元件（DOE）的束匀滑应用，结合消息传递接口（MPI）并行编程方法，开发并实现了具有良好收敛效果和并行效率的SA算法。在8个中央处理器(CPU)的小型并行计算平台上进行了入射口径310 mm、出射20阶超高斯0.4 mm×0.8 mm聚焦光斑的优化设计，使用不到原来1/6的时间就能获得比原串行算法更好的匀滑效果，从而验证了该并行SA算法的快速有效性。

Abstract

Simulated annealing (SA) is a good tool for solving complex nonlinear optimization problem. The development of its parallelism has become the study focus in recent years. An efficient and convergent parallel simulated annealing (PSA) combined with message passing interface (MPI) method is presented for the optimization of diffractive optics elements (DOE). Using an 8CPU parallel computing platform, optimization designs are performed with incident caliber of 310 mm and 20order superGaussian focal spot of 0.4 mm×0.8 mm. The results show that the smoothing effect with the PSA method can be better and the timecost is less than 1/6 than those with serial SA method, which demonstrates the quickness and effectiveness of the PSA.

参考文献

[1] Y. Kato, K. Mima, N. Miyanaga et al.. Random phasing of highpower lasers for uniform target acceleration and plasmainstability suppression ［J］. Phys. Rev. Lett., 1984, 53(11): 1057~1060

[2] S. N. Dixit, J. K. Lawson, K. R. Manes et al.. Kinoform phase plates for focal plane irradiance profile control ［J］. Opt. Lett., 1994, 19(6): 417~419

[3] R. Epstein, S. Skupsky. Anticipated improvement in laser beam uniformity using distributed phase plates with quasirandom patterns ［J］. J. Appl. Phys., 1990, 68(3): 924~931

[4] 刘强, 邬融, 张晓波等. 多台阶衍射光学元件的工艺优化［J］. 中国激光, 2008, 35(8): 1165~1168

Liu Qiang, Wu Rong, Zhang Xiaobo et al.. Technical optimization of multilevel diffractive optical elements ［J］. Chinese J. Lasers, 2008, 35(8): 1165~1168

[5] Y. Lin, T. J. Kessler. Design of continuous surfacerelief phase plates by surfacebased simulated annealing to achieve control of focalplane irradiance ［J］. Opt. Lett., 1996, 21(20): 1703~1705

[6] John A. Marozas. Fourier transformbased continuous phaseplate design technique: a highpass phaseplate design as an application for OMEGA and the national ignition facility ［J］. J. Opt. Soc. Am. A, 2007, 24(1): 74~83

[7] 林勇, 胡家升, 吴克难. 一种用于光束整形的衍射光学元件设计算法［J］. 光学学报, 2007, 27(9): 1682~1686

Lin Yong, Hu Jiasheng, Wu Kenan. Algorithm for the design of diffractive optical elements for laser beam shaping ［J］. Acta Optica Sinica, 2007, 27(9): 1682~1686

[8] R. W. Gerchberg, W. O. Saxton. A practical algorithm for the determination of phase from image and diffraction plane pictures ［J］. Optik, 1972, 35(2): 237~246

[9] J. R. Fienup. Iterative method applied to image reconstruction and to computergenerated holograms ［J］. Opt. Eng., 1980, 19(3): 297~305

[10] M. Meister, R. J. Winfield. Novel approaches to direct search algorithms for the design of diffractive optical elements ［J］. Opt. Commun., 2002, 203(1): 39~49

[11] A. P. Bennett, J. L. Shapiro. Analysis of genetic algorithms using statistical mechanics ［J］. Phys. Rev. Lett., 1994, 72(9): 1305

[12] S. Kirkpartrick, C. D. Gelatt, M. P. Veccchi. Optimization by simulated annealing ［J］. Science, 1983, 220(4598): 671~680

[13] D. J. Ram, T. H. Sreenivas, K. G. Subramaniam. Parallel simulated annealing algorithms ［J］. J. Parallel and Distributed Computing, 1996, 37(2): 207~212

[14] Kingwai Chu, Yuefan Deng, John Reinitz. Parallel simulated annealing by mixing of states ［J］. J. Computational Physics, 1999, 148(2): 646~662

[15] 李树有, 都志辉, 吴梦月等. 模拟退火算法的并行实现及其应用［J］. 物理学报, 2001, 50(7): 1260~1263

Li Shuyou, Du Zhihui, Wu Mengyue et al.. Parallel realization of simulated annealing algorithm: modifications and applications ［J］. Acta Physics Sinica, 2001, 50(7): 1260~1263

[16] 张艳, 张静娟, 司徒国海. 高斯光束变换成方形均匀焦斑的衍射光学元件的研究［J］. 中国激光, 2004, 31(10): 1183~1187

Zhang Yan, Zhang Jingjuan, Situ Guohai. Investigation on diffractive optical elements for converting Gaussian beam into square uniform focused spot ［J］. Chinese J. Lasers, 2004, 31(10): 1183~1187

邬融, 赵东峰, 戴亚平. 并行模拟退火算法优化衍射光学元件设计[J]. 光学学报, 2010, 30(9): 2544. Wu Rong, Zhao Dongfeng, Dai Yaping. Optimize Design of Diffractive Optics Elements by Parallel Simulated Annealing[J]. Acta Optica Sinica, 2010, 30(9): 2544.

并行模拟退火算法优化衍射光学元件设计

关于本站 Cookie 的使用提示

全站搜索

并行模拟退火算法优化衍射光学元件设计

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索