中国物理B ›› 2001, Vol. 10 ›› Issue (12): 1129-1135.doi: 10.1088/1009-1963/10/12/309

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

DESIGNING A DIFFRACTIVE OPTICAL ELEMENT FOR CONTROLLING THE BEAM PROFILE IN A THREE-DIMENSIONAL SPACE USING THE SIMULATED ANNEALING ALGORITHM

梁文锡, 张静娟, 吕俊峰, 廖睿   

  1. Department of Physics, The Graduate School of The Chinese Academy of Sciences, Beijing 100039, China
  • 收稿日期:2001-05-28 修回日期:2001-07-20 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 69977018).

DESIGNING A DIFFRACTIVE OPTICAL ELEMENT FOR CONTROLLING THE BEAM PROFILE IN A THREE-DIMENSIONAL SPACE USING THE SIMULATED ANNEALING ALGORITHM

Liang Wen-xi (梁文锡), Zhang Jing-juan (张静娟), Lü Jun-feng (吕俊峰), Liao Rui (廖睿)   

  1. Department of Physics, The Graduate School of The Chinese Academy of Sciences, Beijing 100039, China
  • Received:2001-05-28 Revised:2001-07-20 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 69977018).

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摘要： We have designed a spatially quantized diffractive optical element (DOE) for controlling the beam profile in a three-dimensional space with the help of the simulated annealing (SA) algorithm. In this paper, we investigate the annealing schedule and the neighbourhood which are the deterministic parameters of the process that warrant the quality of the SA algorithm. The algorithm is employed to solve the discrete stochastic optimization problem of the design of a DOE. The objective function which constrains the optimization is also studied. The computed results demonstrate that the procedure of the algorithm converges stably to an optimal solution close to the global optimum with an acceptable computing time. The results meet the design requirement well and are applicable.

Abstract: We have designed a spatially quantized diffractive optical element (DOE) for controlling the beam profile in a three-dimensional space with the help of the simulated annealing (SA) algorithm. In this paper, we investigate the annealing schedule and the neighbourhood which are the deterministic parameters of the process that warrant the quality of the SA algorithm. The algorithm is employed to solve the discrete stochastic optimization problem of the design of a DOE. The objective function which constrains the optimization is also studied. The computed results demonstrate that the procedure of the algorithm converges stably to an optimal solution close to the global optimum with an acceptable computing time. The results meet the design requirement well and are applicable.

Key words: diffractive optical element, beam profile, simulated annealing algorithm

中图分类号:  (Optical elements, devices, and systems)

  • 42.79.-e
42.15.Eq (Optical system design) 02.50.Ey (Stochastic processes) 02.60.Pn (Numerical optimization)