Title: Effective bandgap calculation of photonic crystals with sector scatterers

Authors: Quan Chai; Lili Liu; Jianzhong Zhang; Weimin Sun; Libo Yuan; Gangding Peng

Addresses: Key Lab of In-fiber Integrated Optics, Ministry Education of China, College of Mechanical and Electrical, Harbin Engineering University, Harbin, 150001, China; Laser Research Institute, Shandong Academic of Science, China ' Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, 150001, China ' Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, 150001, China; Photonics & Optical Communications, School of Electrical Engineering & Telecommunications, University of New South Wales, Sydney 2052, NSW, Australia ' Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, 150001, China ' Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, 150001, China ' Photonics & Optical Communications, School of Electrical Engineering & Telecommunications, University of New South Wales, Sydney 2052, NSW, Australia; Laser Research Institute, Shandong Academic of Science, China

Abstract: In this paper, we investigated two-dimensional (2D) photonic crystals (PCs) with sector scatterers, which introduce anisotropic characteristics by reducing the scatter symmetry compared with that of cylinder scatterers. An effective calculating method for structure factor matrix was proposed to realise high efficient simulation based on plane wave expansion (PWE) scheme. The results showed that the directional bandgap and the complete bandgap could be tuned periodically by changing of the angle of orientation. When the missing angle θ is between 60º and 120º, the adjustable range of directional and complete bandgap width of TM mode is increased with the missing angle θ.

Keywords: photonic crystals; plane wave expansion; PWE; photonic bandgap; sector scatterers; symmetry; simulation.

DOI: 10.1504/IJNT.2015.071799

International Journal of Nanotechnology, 2015 Vol.12 No.10/11/12, pp.876 - 885

Published online: 18 Sep 2015 *

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