光学薄膜自动设计的多目标优化方法

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光学薄膜自动设计的多目标优化方法
4 F$ R, f$ B0 a$ b( h王文梁1 ,2 　熊胜明1
(1 中国科学院光电技术研究所, 四川成都610209 ; 2 中国科学院研究生院, 北京100039)
' N' ~- }4 f$ @$ v% x; W摘要　光学薄膜中已使用的优化方法都是单目标寻优的,通过分析光学薄膜优化设计的原理,将薄膜设计的物理
问题归结为混合离散变量的多目标优化设计的数学模型,并认为这是薄膜设计的一般性模型,现行的单目标优化
! r& O( y" C' g9 S; F, F+ N算法只是这个模型的简化。基于这一新思路,并结合多目标优化算法的研究现状,采用了一种基于免疫应答原理
的智能型多目标优化算法。该算法隐含并行处理能力,原理上是具备全局搜索能力的自适应随机性算法。将此算
7 W# j8 d  i% s, n法运用到光学薄膜设计中,给出了一些优化的设计实例。结果表明,将多目标优化算法引入薄膜设计的新思路是
. R8 C# C# l! |8 T可行的,将来会有较好的发展前景。
4 m5 b8 ~% c* I* k% s# c关键词　光学设计; 光学薄膜; 多目标优化; 免疫应答
& ]- O8 P8 n: l2 o中图分类号　O484 　　　文献标识码　A 　　　doi : 10. 3788/ AOS20082810. 2026
Mul t i object i ve Op t imi z a t i o n App r oa c h of Op t ic a l Thi n Fi lm Des i g n
Wang Wenliang 1 ,2 　Xiong Shengming1
1 Ins t i t ute of Op t ics a n d Elect ronics , Chi nese Academy of Sciences , Chengd u , Sich u a n 610209 , Chi n a
. J$ g; P: L7 v2 Gr a d ua te Unive rsi t y of Chi nese Aca demy of Sciences , Beiji ng 100039 , Chi n a
Abs t r act 　All optimization methods used in optical thin film design can seek only one object . Af ter t he analysis of the
theory of optical thin film optimization design , it is p roposed that multiobjective optimization with mixed discrete
; S2 s2 M, T$ b" K% R) [3 y) I' Ivariable is the essential mathematical model and can reflect the p hysical essence of optical thin film design. The
optimization algorithm for single objective p roblem which has been widely used in the fields of optical thin film design
6 k; `* B5 G/ X* @2 v! @is only a simplification. Based on this new consideration and the s tatus of multiobjective optimization research , an
immune response2based multiobjective optimization algorithm is adopted to design optical thin film. This algorithm
can implement parallel t reatment , and is a self2adaptive random algorithm with ove rall search capability in p rinciple .
' U3 v/ T  }. ^The algorithm is used in optical thin film design , and some examples are p resented. According to the results of
* e4 i2 X2 K0 oexpe riments , the idea of applying multiobjective optimization app roach to designing optical thin film can be realized in
theory and have a bright future .
Key wor ds 　optical design ; optical t hin film; multiobjective optimization ; response of the immune system

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