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Title: Bi-directional evolutionary optimization for photonic band gap structures

Abstract

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.

Authors:
 [1];  [2];  [1];  [2];  [3]
  1. Centre for Innovative Structures and Materials, School of Civil, Environmental and Chemical Engineering, RMIT University, GPO Box 2476, Melbourne, VIC 3001 (Australia)
  2. (China)
  3. Centre for Micro-Photonics, Faculty of Engineering & Industrial Science, Swinburne University of Technology, PO Box 218, Hawthorn, VIC 3122 (Australia)
Publication Date:
OSTI Identifier:
22570199
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 302; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CRYSTALS; DIELECTRIC MATERIALS; FINITE ELEMENT METHOD; OPTIMIZATION; PERIODICITY; PERMITTIVITY; POLARIZATION; SENSITIVITY ANALYSIS; TOPOLOGY

Citation Formats

Meng, Fei, School of Civil Engineering, Central South University, Changsha 410075, Huang, Xiaodong, E-mail: huang.xiaodong@rmit.edu.au, Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture, Hunan University, Changsha, 410082, and Jia, Baohua. Bi-directional evolutionary optimization for photonic band gap structures. United States: N. p., 2015. Web. doi:10.1016/J.JCP.2015.09.010.
Meng, Fei, School of Civil Engineering, Central South University, Changsha 410075, Huang, Xiaodong, E-mail: huang.xiaodong@rmit.edu.au, Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture, Hunan University, Changsha, 410082, & Jia, Baohua. Bi-directional evolutionary optimization for photonic band gap structures. United States. doi:10.1016/J.JCP.2015.09.010.
Meng, Fei, School of Civil Engineering, Central South University, Changsha 410075, Huang, Xiaodong, E-mail: huang.xiaodong@rmit.edu.au, Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture, Hunan University, Changsha, 410082, and Jia, Baohua. Tue . "Bi-directional evolutionary optimization for photonic band gap structures". United States. doi:10.1016/J.JCP.2015.09.010.
@article{osti_22570199,
title = {Bi-directional evolutionary optimization for photonic band gap structures},
author = {Meng, Fei and School of Civil Engineering, Central South University, Changsha 410075 and Huang, Xiaodong, E-mail: huang.xiaodong@rmit.edu.au and Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture, Hunan University, Changsha, 410082 and Jia, Baohua},
abstractNote = {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.},
doi = {10.1016/J.JCP.2015.09.010},
journal = {Journal of Computational Physics},
number = ,
volume = 302,
place = {United States},
year = {Tue Dec 01 00:00:00 EST 2015},
month = {Tue Dec 01 00:00:00 EST 2015}
}