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

doi:10.7498/aps.63.087804

Abstract

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.

Keywords:

Authors and contacts

1.
College of Science, Air Force Engineering University, Xi’an 710051, China;
2.
Key Laboratory of Electronic Materials Research of the Ministry of Education, Xi’an Jiaotong University, Xi’an 710049, China
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).

References

[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]

Cited By

[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]

Catalog

Vol. 63, Issue 8 - 2014-04-20

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