scholarly journals A flexible Bloch mode method for computing complex band structures and impedances of two-dimensional photonic crystals

2012 ◽  
Vol 111 (1) ◽  
pp. 013105 ◽  
Author(s):  
Felix J. Lawrence ◽  
Lindsay C. Botten ◽  
Kokou B. Dossou ◽  
R. C. McPhedran ◽  
C. Martijn de Sterke
2007 ◽  
Vol 2007 ◽  
pp. 1-8
Author(s):  
Xiaoshuang Chen ◽  
Renlong Zhou ◽  
Yong Zeng ◽  
Hongbo Chen ◽  
Wei Lu

We review the simulation work for the far-field focus and dispersionless anticrossing bands in two-dimensional (2D) photonic crystals. In a two-dimensional photonic-crystal-based concave lens, the far-field focus of a plane wave is given by the distance between the focusing point and the lens. Strong and good-quality far-field focusing of a transmitted wave, explicitly following the well-known wave-beam negative refraction law, can be achieved. The spatial frequency information of the Bloch mode in multiple Brillouin zones (BZs) is investigated in order to indicate the wave propagation in two different regions. When considering the photonic transmission in a 2D photonic crystal composed of a negative phase-velocity medium (NPVM), it is shown that the dispersionless anticrossing bands are generated by the couplings among the localized surface polaritons of the NPVM rods. The photonic band structures of the NPVM photonic crystals are characterized by a topographical continuous dispersion relationship accompanied by many anticrossing bands.


1994 ◽  
Author(s):  
William M. Robertson ◽  
Gnanalingam Arjavalingam ◽  
Shawn-Yu Lin

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

2010 ◽  
Vol 39 (11) ◽  
pp. 1943-1946
Author(s):  
张翠玲 ZHANG Cuiling ◽  
郑瑞伦 ZHENG Ruilun ◽  
刘启能 LIU Qineng ◽  
代洪霞 DAI Hongxia

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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