Photonic band structures of a two-dimensional ionic dielectric medium

1996 ◽  
Vol 54 (15) ◽  
pp. 10280-10283 ◽  
Author(s):  
Weiy Zhang ◽  
An Hu ◽  
Xinya Lei ◽  
Ning Xu ◽  
Naiben Ming
1994 ◽  
Vol 50 (23) ◽  
pp. 16835-16844 ◽  
Author(s):  
V. Kuzmiak ◽  
A. A. Maradudin ◽  
F. Pincemin

2005 ◽  
Vol 14 (12) ◽  
pp. 2507-2513 ◽  
Author(s):  
Cai Xiang-Hua ◽  
Zheng Wan-Hua ◽  
Ma Xiao-Tao ◽  
Ren Gang ◽  
Xia Jian-Bai

Author(s):  
S.E. Dissanayake ◽  
K.A.I.L. Wijewardena Gamalath

The plane wave expansion method was implemented in modelling and simulating the band structures of two dimensional photonic crystals with square, triangular and honeycomb lattices with circular, square and hexagonal dielectric rods and air holes. Complete band gaps were obtained for square lattice of square GaAs rods and honeycomb lattice of circular and hexagonal GaAs rods as well as triangular lattice of circular and hexagonal air holes in GaAs whereas square lattice of square or circular air holes in a dielectric medium ε = 18 gave complete band gaps. The variation of these band gaps with dielectric contrast and filling factor gave the largest gaps for all configurations for a filling fraction around 0.1.The gap maps presented indicated that TM gaps are more favoured by dielectric rods while TE gaps are favoured by air holes. The geometrical gap maps operating at telecommunication wavelength λ = 1.55 μm showed that a complete band gap can be achieved for triangular lattice with circular and hexagonal air holes in GaAs and for honeycomb lattice of circular GaAs rods.


2019 ◽  
Vol 26 (03) ◽  
pp. 1850152 ◽  
Author(s):  
HUSSEIN A. ELSAYED

In the present communication, by means of the frequency-dependent plane wave expansion method, we theoretically demonstrate the photonic band structures of a new type of two-dimensional (2D) annular photonic crystals (PCs) called 2D ternary superconductor PCs created by square and triangular lattices. Our idea is based on the appearance of the interfacial layer through a number of experimental works. We mainly investigate the maximization of the photonic band gap (PBG) using two types of ternary superconductor PCs. Type I in which an interfacial layer of Nb low temperature superconductor (LTSC) is encircled by cylindrical rods and a background material of two different dielectric materials. Type II is composed of cylindrical rods of Nb enclosed with an interfacial layer and a background material of the same dielectric materials used in type I. With the calculated photonic band structures, it can be found that the PBG can be significantly enlarged using the ternary structures more than the conventional (binary) structures. In addition, the different distributions of the constituent materials of the ternary structures have a distinct effect on the width of the PBGs.


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