YG算法设计衍射光学光束整形器件的两种改进

Two Kinds of Improvement on Yang-Gu Algorithm for the Design of Diffractive Optical Element Used for Beam Shaping

对YG算法进行了两种改进 :ST改进和ST 输入输出联合改进 ,数学证明了这两种改进的有效性 ,并完成了衍射光学光束整形器件的设计。结果表明 ,这两种改进使得算法对初始值不敏感 ,获得了更好的整形性能 ,具有更高的收敛效率。而且 ,ST 输入输出联合改进的使用可以缓解光束整形中不同性能参数间的矛盾。

Two kinds of improvement, ST improvement and ST-input-output improvement, on Yang-Gu algorithm have been proposed to design diffractive optical elements (DOE) used for beam shaping in this paper. These kinds of improvement can provide less sensitivity to the initial phases, better shaping quality, and higher iterative convergence efficiency. The validity of the two kinds of improvement is proved mathematically, and is shown by simulation of the practical design. Further, the ST-input-output improvement can mitigate the contradiction among the different parameters in beam shaping.