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.
Received: 28 May 2001
Revised: 20 July 2001
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 69977018).
Cite this article:
Liang Wen-xi (梁文锡), Zhang Jing-juan (张静娟), Lü Jun-feng (吕俊峰), Liao Rui (廖睿) DESIGNING A DIFFRACTIVE OPTICAL ELEMENT FOR CONTROLLING THE BEAM PROFILE IN A THREE-DIMENSIONAL SPACE USING THE SIMULATED ANNEALING ALGORITHM 2001 Chinese Physics 10 1129
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