搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于加权实数编码遗传算法的超材料优化设计

常红伟 马华 张介秋 张志远 徐卓 王甲富 屈绍波

引用本文:
Citation:

基于加权实数编码遗传算法的超材料优化设计

常红伟, 马华, 张介秋, 张志远, 徐卓, 王甲富, 屈绍波

Optimization of metamaterial based weighted real-coded genetic algorithm

Chang Hong-Wei, Ma Hua, Zhang Jie-Qiu, Zhang Zhi-Yuan, Xu Zhuo, Wang Jia-Fu, Qu Shao-Bo
PDF
导出引用
  • 针对超材料优化设计参数多、权重各异的特点,提出一种基于加权实数编码的遗传算法. 该算法采用等位基因或双倍基因实现对遗传基因的加权编码,是二进制编码中加权思想的推广. 与普通遗传算法相比,加权实数编码遗传算法加入了人工选择因素,既可以加快种群收敛速度,又可以提高算法的求解质量,尤其适用于种群规模较大的遗传优化计算. 文中以一个超材料吸波体的优化设计为例,对算法进行了验证.
    A weighted real-coded genetic algorithm is proposed in this paper, in allusion to the characteristics of optimizing designs of metamaterials, which have many parameters and parameters of different powers in metamaterial structure. The algorithm utilizing allele or double gene to change the power of one gene, develops the idea of weighted encoded binary coding. Compared with common real-coded based genetic algorithm, the weighted real-coded genetic algorithm adds artificial selection in it, it can not only accelerate the speed of convergence, but also improve the solution quality, especially for the design of large-scale and long computation time. In this paper, the algorithm is verified by optimizing a metamaterial absorber.
    • 基金项目: 国家自然科学基金(批准号:61331005,11204378,11274389,11304393,61302023)、中国博士后科学基金(批准号:2013M532131,2013M532221)和陕西省基础研究计划(批准号:2011JQ8031,2013JM6005)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61331005, 11204378, 11274389, 11304393, 61302023), the China Postdoctoral Science Foundation (Grant Nos. 2013M532131, 2013M532221), and the Natural Science Foundation of Shaanxi Province, China (Grant Nos. 2011JQ8031, 2013JM6005).
    [1]

    Pendry J B, Holden A J, Robbins D J 1999 IEEE Trans. Microw. Theory Tech. 47 2075

    [2]

    Chen Y Z, Gong R Z, Nie Y, Wang X 2012 Chin. Phys. B 21 127801

    [3]

    Gu C, Qu S B, Pei Z B, Zhou H, Xu Z, Bai P, Lin B Q 2010 Chin. Phys. Lett. 27 117802

    [4]

    Li Y, Sun H 2011 Acta Phys. Sin. 60 094103 (in Chinese) [李芸, 孙华 2011 物理学报 60 094103]

    [5]

    Liu L G, Li Y Q, Meng Q Z, Wu W W, Mo J J, Fu Y Q, Yuan N C 2013 Chin. Phys. Lett. 30 064101

    [6]

    Diaz A R, Sigmund O 2009 Struct. Multidiscip. O. 41 163

    [7]

    Erentok A, Sigmund O 2011 IEEE Trans. Antenn. Propag. 59 58

    [8]

    Watts C M, Liu X, Padilla W J 2012 Progress Report 24 98

    [9]

    Shen Y, Guo B, Gu T X 2005 J. UEST China 34 696

    [10]

    Luh G C, Lin C Y 2009 Appl. Soft. Comput. 9 1343

    [11]

    Chang L, Liao C, Lin W 2012 Prog. Electromagn. Res. 122 105

    [12]

    Chen P Y, Chen C H, Wang H 2008 Opt. Express 16 12806

    [13]

    Holland J H 1975 Adaptation in Natural and Artifical Systems (Ann Arbor: The University of Michigan Press) p12

    [14]

    Han R F 2009 Theory and Application of Genetic Algorithm (Beijing: The Weapons Industry Press) pp75-88 (in Chinese) [韩瑞锋 2009 遗传算法原理与应用实例 (北京: 兵器工业出版社)]

    [15]

    Zhu C 2009 Ph. D. Dissertation (Changsha: Zhong Nan University) (in Chinese) [朱灿 2009 博士学位论文 (长沙: 中南大学)]

    [16]

    Yin G B, Li S G, Liu S, Wang X Y 2011 Chin. Phys. Lett. 28 064215

    [17]

    Lucdsius C B, Blommers M J J 1991 Handbook of Genetic Algorithms (New York: Van Nostrand Reinhold) p10

    [18]

    User’s Guide: CST MICROWAVE STUDIOoledR VBA Objects. The CST STUDIO SUITEm TM Help, 2009

    [19]

    Wang J B, Lu J 2011 Acta Phys. Sin. 60 050703 (in Chinese) [汪剑波, 卢俊 2011 物理学报 60 050703]

    [20]

    Landy I, Bingham C M, Tyler T, Jokerst N, Smith D R, Padilla W J 2009 Phys. Rev. B 79 125104

    [21]

    Gu C, Qu S B, Pei Z B, Zhang J Q, Ma H 2010 Prog. Electromagn. Res. 17 171

    [22]

    Qu S B, Wang J F, Ma H, Xu Z, Zhang J Q 2013 Metamaterial Design and Applications in Stealth Technology (Beijing: Science Press) pp210-261 (in Chinese) [屈绍波, 王甲富, 马华, 徐卓, 张介秋 2013 超材料设计及其在隐身技术中的应用 (北京: 科学出版社) 第210–261页]

    [23]

    Sun L K, Cheng H F, Zhou Y J, Wang J, Pang Y Q 2011 Acta Phys. Sin. 60 108901 (in Chinese) [孙良奎, 程海峰, 周永江, 王军, 庞永强 2011 物理学报 60 108901]

  • [1]

    Pendry J B, Holden A J, Robbins D J 1999 IEEE Trans. Microw. Theory Tech. 47 2075

    [2]

    Chen Y Z, Gong R Z, Nie Y, Wang X 2012 Chin. Phys. B 21 127801

    [3]

    Gu C, Qu S B, Pei Z B, Zhou H, Xu Z, Bai P, Lin B Q 2010 Chin. Phys. Lett. 27 117802

    [4]

    Li Y, Sun H 2011 Acta Phys. Sin. 60 094103 (in Chinese) [李芸, 孙华 2011 物理学报 60 094103]

    [5]

    Liu L G, Li Y Q, Meng Q Z, Wu W W, Mo J J, Fu Y Q, Yuan N C 2013 Chin. Phys. Lett. 30 064101

    [6]

    Diaz A R, Sigmund O 2009 Struct. Multidiscip. O. 41 163

    [7]

    Erentok A, Sigmund O 2011 IEEE Trans. Antenn. Propag. 59 58

    [8]

    Watts C M, Liu X, Padilla W J 2012 Progress Report 24 98

    [9]

    Shen Y, Guo B, Gu T X 2005 J. UEST China 34 696

    [10]

    Luh G C, Lin C Y 2009 Appl. Soft. Comput. 9 1343

    [11]

    Chang L, Liao C, Lin W 2012 Prog. Electromagn. Res. 122 105

    [12]

    Chen P Y, Chen C H, Wang H 2008 Opt. Express 16 12806

    [13]

    Holland J H 1975 Adaptation in Natural and Artifical Systems (Ann Arbor: The University of Michigan Press) p12

    [14]

    Han R F 2009 Theory and Application of Genetic Algorithm (Beijing: The Weapons Industry Press) pp75-88 (in Chinese) [韩瑞锋 2009 遗传算法原理与应用实例 (北京: 兵器工业出版社)]

    [15]

    Zhu C 2009 Ph. D. Dissertation (Changsha: Zhong Nan University) (in Chinese) [朱灿 2009 博士学位论文 (长沙: 中南大学)]

    [16]

    Yin G B, Li S G, Liu S, Wang X Y 2011 Chin. Phys. Lett. 28 064215

    [17]

    Lucdsius C B, Blommers M J J 1991 Handbook of Genetic Algorithms (New York: Van Nostrand Reinhold) p10

    [18]

    User’s Guide: CST MICROWAVE STUDIOoledR VBA Objects. The CST STUDIO SUITEm TM Help, 2009

    [19]

    Wang J B, Lu J 2011 Acta Phys. Sin. 60 050703 (in Chinese) [汪剑波, 卢俊 2011 物理学报 60 050703]

    [20]

    Landy I, Bingham C M, Tyler T, Jokerst N, Smith D R, Padilla W J 2009 Phys. Rev. B 79 125104

    [21]

    Gu C, Qu S B, Pei Z B, Zhang J Q, Ma H 2010 Prog. Electromagn. Res. 17 171

    [22]

    Qu S B, Wang J F, Ma H, Xu Z, Zhang J Q 2013 Metamaterial Design and Applications in Stealth Technology (Beijing: Science Press) pp210-261 (in Chinese) [屈绍波, 王甲富, 马华, 徐卓, 张介秋 2013 超材料设计及其在隐身技术中的应用 (北京: 科学出版社) 第210–261页]

    [23]

    Sun L K, Cheng H F, Zhou Y J, Wang J, Pang Y Q 2011 Acta Phys. Sin. 60 108901 (in Chinese) [孙良奎, 程海峰, 周永江, 王军, 庞永强 2011 物理学报 60 108901]

计量
  • 文章访问数:  2500
  • PDF下载量:  660
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-10-26
  • 修回日期:  2014-01-08
  • 刊出日期:  2014-04-05

基于加权实数编码遗传算法的超材料优化设计

  • 1. 空军工程大学理学院, 西安 710051;
  • 2. 西安交通大学, 电子与陶瓷教育部重点实验室, 西安 710049
    基金项目: 

    国家自然科学基金(批准号:61331005,11204378,11274389,11304393,61302023)、中国博士后科学基金(批准号:2013M532131,2013M532221)和陕西省基础研究计划(批准号:2011JQ8031,2013JM6005)资助的课题.

摘要: 针对超材料优化设计参数多、权重各异的特点,提出一种基于加权实数编码的遗传算法. 该算法采用等位基因或双倍基因实现对遗传基因的加权编码,是二进制编码中加权思想的推广. 与普通遗传算法相比,加权实数编码遗传算法加入了人工选择因素,既可以加快种群收敛速度,又可以提高算法的求解质量,尤其适用于种群规模较大的遗传优化计算. 文中以一个超材料吸波体的优化设计为例,对算法进行了验证.

English Abstract

参考文献 (23)

目录

    /

    返回文章
    返回