遗传模拟退火算法在玻璃和晶体色散方程参量反演中的应用  

Application of genetic simulated annealing algorithm in parameters retrieval of dispersion equation for glass and crystal

作　　者：王安祥[1] 张晓军[1] 曹运华[2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]西安电子科技大学理学院,陕西西安710071

出　　处：《红外与激光工程》2015年第11期3197-3203,共7页Infrared and Laser Engineering

基　　金：陕西省自然科学基金(2012JM1011);陕西省教育厅科研项目(14JK1301);陕西省普通高校重点学科建设专项资金(2008)169

摘　　要：根据已测K9玻璃和晶体(ZnS,MgF_2,Calcite)的实验数据,将遗传模拟退火算法应用于修正的Sellimeier方程的参数反演中,建立了上述材料的色散方程。同时比较了遗传模拟退火算法和遗传算法(包括标准遗传算法和多种群遗传算法)在迭代搜索性能方面的差异。结果表明:遗传模拟退火算法的优化效果最优并且性能最稳定。同时,将通过遗传模拟退火算法所得K9玻璃和晶体在某一光谱区域的色散方程应用于其他光谱区域中,发现色散方程的拟合值与实验值符合较好,这表明通过该方法所得色散方程具有较好的外推性。因此,通过遗传模拟退火算法进行色散方程的参量反演方法可以用于其他材料色散方程的拟合。According to the experimental data of K9 glass, ZnS crystal, MgF2 crystal and calcite crystal, the dispersion equations of the materials was established by the application of genetic simulated annealing algorithm to retrieval parameter of the modified sellmeier equation. Meanwhile, the differences in iteration searching properties between the genetic simulated annealing algorithm and the genetic algorithms including standard genetic algorithm and multi-population genetic algorithm were compared. The results show that the genetic simulated annealing algorithm possesses the best optimization effect and stable performance. Finally, the dispersion equations of K9 glass and crystals obtained by genetic simulated annealing algorithm in one spectral region are used in another spectral region, and the fitted values of dispersion equation are in good agreement with experimental data, indicating that the dispersion equation has better extrapolation. Therefore, retrieval parameter of dispersion equation using genetic simulated annealing algorithm can be applied to other materials.

关 键 词：标准遗传算法 多种群遗传算法 遗传模拟退火算法 色散方程 反演 外推性 

分 类 号：O436[机械工程—光学工程]