Bi-directional evolutionary optimization for photonic band gap structures

被引：66

作者：

Meng, Fei ^{[1
,4
]}

Huang, Xiaodong ^{[1
,2
]}

Jia, Baohua ^{[3
]}

机构：

[1] RMIT Univ, Sch Civil Environm & Chem Engn, Ctr Innovat Struct & Mat, Melbourne, Vic 3001, Australia

[2] Hunan Univ, Key Lab Adv Technol Vehicle Body Design & Manufac, Changsha 410082, Hunan, Peoples R China

[3] Swinburne Univ Technol, Fac Engn & Ind Sci, Ctr Microphoton, Hawthorn, Vic 3122, Australia

[4] Cent South Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 302卷

基金：

澳大利亚研究理事会;

关键词：

Topology optimization; Photonic band gap; Bi-directional evolutionary structural optimization (BESO); Periodic unit cell; VIBRATING CONTINUUM STRUCTURES; TOPOLOGY OPTIMIZATION; LEVEL-SET; CRYSTALS; DESIGN; SHAPE; FRAMEWORK;

D O I：

10.1016/j.jcp.2015.09.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Toward an efficient and easy-implement optimization for photonic band gap structures, this paper extends the bi-directional evolutionary structural optimization (BESO) method for maximizing photonic band gaps. Photonic crystals are assumed to be periodically composed of two dielectric materials with the different permittivity. Based on the finite element analysis and sensitivity analysis, BESO starts from a simple initial design without any band gap and gradually re-distributes dielectric materials within the unit cell so that the resulting photonic crystal possesses a maximum band gap between two specified adjacent bands. Numerical examples demonstrated the proposed optimization algorithm can successfully obtain the band gaps from the first to the tenth band for both transverse magnetic and electric polarizations. Some optimized photonic crystals exhibit novel patterns markedly different from traditional designs of photonic crystals. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：393 / 404

页数：12

共 48 条

[1]

[Anonymous], 1991, COMPUTER METHODS APP, DOI DOI 10.1016/0045-7825(91)90046-9

[2]

Bendse MP., 2003, Topology optimization: theory, methods, and applications, V2

[3]

Bendse MP., 1989, Struct. Optim., V1, P193, DOI [10.1007/BF016509492,4, DOI 10.1007/BF01650949, 10.1007/BF01650949]

[4] Topology optimization and fabrication of photonic crystal structures [J].

Borel, PI ;

Harpoth, A ;

Frandsen, LH ;

Kristensen, M ;

Shi, P ;

Jensen, JS ;

Sigmund, O .

OPTICS EXPRESS, 2004, 12 (09) :1996-2001

[5] Maximizing band gaps in two-dimensional photonic crystals [J].

Cox, SJ ;

Dobson, DC .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (06) :2108-2120

[6] Band structure optimization of two-dimensional photonic crystals in H-polarization [J].

Cox, SJ ;

Dobson, DC .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 158 (02) :214-224

[7] Topological optimization of two-dimensional phononic crystals based on the finite element method and genetic algorithm [J].

Dong, Hao-Wen ;

Su, Xiao-Xing ;

Wang, Yue-Sheng ;

Zhang, Chuanzeng .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2014, 50 (04) :593-604

[8] Photonic bandgap optimization in inverted fcc photonic crystals [J].

Doosje, M ;

Hoenders, BJ ;

Knoester, J .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2000, 17 (04) :600-606

[9] Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps [J].

Du, Jianbin ;

Olhoff, Niels .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2007, 34 (02) :91-110

[10] All-metallic three-dimensional photonic crystals with a large infrared bandgap [J].

Fleming, JG ;

Lin, SY ;

El-Kady, I ;

Biswas, R ;

Ho, KM .

NATURE, 2002, 417 (6884) :52-55

← 1 2 3 4 5 →