DOE二阶量化优化算法
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摘要
分析了二阶量化产生的误差,提出了一种基于模拟退火算法的优化算法,对二阶量化的相位数据进行优化,改善其输出光场,减小二阶量化带来的误差。仿真结果表明:优化过后DOE输出光场的不均匀性由41.92%降至23.18%,误差函数由28.74%降至20.47%,可见提出的算法在减小DOE二阶量化误差方面具有一定的应用价值。
The error of second-order quantization was analyzed,and an optimization algorithm was proposed based on simulated annealing algorithm to optimize the second-order quantized phase data,which could improve the output light field and reduce the error caused by second-order quantization.The simulation results show that the non-uniformity and error function of the DOE output optical field after optimization are reduced from 35.61%to 19.72%and from 27.55%to 16.17%,respectively,showing that the proposed algorithm has certain application value in reducing the error of DOE second-order quantization.
The error of second-order quantization was analyzed,and an optimization algorithm was proposed based on simulated annealing algorithm to optimize the second-order quantized phase data,which could improve the output light field and reduce the error caused by second-order quantization.The simulation results show that the non-uniformity and error function of the DOE output optical field after optimization are reduced from 35.61%to 19.72%and from 27.55%to 16.17%,respectively,showing that the proposed algorithm has certain application value in reducing the error of DOE second-order quantization.
引文
[1]金国藩,严瑛白,邬敏贤,等.二元光学[M].北京:国防工业出版社,1998.
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[3] Jose Maria H F,José&Sanchez-Brea,Luis Miguel.Double diffractive optical element system for near-field shaping[J].Applied optics,2011,50(45):87-93.
[4] Jose Maria H F, Luis Miguel Sanchez-Brea, Eusebio Bernabeu.Near-field shaping with two binary diffractive optical elements in tandem[J].Optics Communications,2013,297:182-189.
[5]姜文婷.纯相位光学防伪掩膜设计与优化研究[D].大连:大连海事大学,2015.
[6] Gerchberg R W,Saxton W O.A practical algorithm for the determination of the phase from image and diffraction plane pictures[J].Optic,1972,35:237-250.
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[10]颜树华.衍射微光学设计[M].北京:国防工业出版社,2011.
[11]Bouleimen K,Lecocq H.A new efficient simulated annealing algorithm for the resource-constrained project scheduling problem and its multiple mode version[J].European Journal of Operational Research,2003,149(2):268-281.
[12]Cakir B,Altiparmak F,Dengiz B.Multi-objective optimization of a stochastic assembly line balancing:A hybrid simulated annealing algorithm[J].Computers&Industrial Engineering,2011,60(3):376-384.
[13]Damodaran P,Vélez-Gallego M C.A simulated annealing algorithm to minimize makespan of parallel batch processing machines with unequal job ready times[J].Expert Systems with Applications,2012,39(1):1451-1458.
[2]庞辉,张满,邓启凌,等.基于瑞利-索末菲积分的大衍射角衍射光学元件设计方法[J].光子学报,2015,44(05):173-178.
[3] Jose Maria H F,José&Sanchez-Brea,Luis Miguel.Double diffractive optical element system for near-field shaping[J].Applied optics,2011,50(45):87-93.
[4] Jose Maria H F, Luis Miguel Sanchez-Brea, Eusebio Bernabeu.Near-field shaping with two binary diffractive optical elements in tandem[J].Optics Communications,2013,297:182-189.
[5]姜文婷.纯相位光学防伪掩膜设计与优化研究[D].大连:大连海事大学,2015.
[6] Gerchberg R W,Saxton W O.A practical algorithm for the determination of the phase from image and diffraction plane pictures[J].Optic,1972,35:237-250.
[7]杨国桢,顾本源.光学系统中振幅和相位的恢复问题[J].物理学报,1981,03,410-413.
[8] Yang G.Genetic algorithm to the optimal design of diffractive optical elements and its comparison with simulated annealing algorithm[J].Acta Opt.1993Sin.13,577–584.
[9] Kowalik A.Double-Sided Diffractive Optical Elements,Institute of Electronic Materials Technology[OB/OL]http://www.itme.edu.pl/S,Poland.(2018.08.31).
[10]颜树华.衍射微光学设计[M].北京:国防工业出版社,2011.
[11]Bouleimen K,Lecocq H.A new efficient simulated annealing algorithm for the resource-constrained project scheduling problem and its multiple mode version[J].European Journal of Operational Research,2003,149(2):268-281.
[12]Cakir B,Altiparmak F,Dengiz B.Multi-objective optimization of a stochastic assembly line balancing:A hybrid simulated annealing algorithm[J].Computers&Industrial Engineering,2011,60(3):376-384.
[13]Damodaran P,Vélez-Gallego M C.A simulated annealing algorithm to minimize makespan of parallel batch processing machines with unequal job ready times[J].Expert Systems with Applications,2012,39(1):1451-1458.