Band Gaps of Two-Dimensional Square-Lattice Photonic Crystal with Button-Shaped Dielectric Rods

2011 ◽  
Vol 216 ◽  
pp. 285-289
Author(s):  
S.X. Du ◽  
X. D. He ◽  
B. Liu ◽  
S. J. Li ◽  
Z.M. Zhang ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Plane Wave ◽  
Band Gap ◽  
Expansion Method ◽  
Band Gaps ◽  
Square Lattice ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

In this paper, a new structure of two-dimensional (2D) square-lattice photonic crystal (SLPC) with button-shaped dielectric rods (BSDRs) is designed, and the properties of band gaps are analyzed by Plane Wave Expansion Method (PWM). The optimal samples that possess the width of absolute band gap are obtained by scanning the three parameters: the radius of large circular R in button mark, the ratio of the radius of small circular to the radius of large circular r/R, and the rotating angle of button mark Ө. It is shown that when r/R=0.485, R=0.406um, and Ө =750, the largest absolute band gap of 0.0406 (ωa/2πc) exists for normalized frequencies in the range 0.7501 to 0.7910 (ωa/2πc). Besides，we can get at most five absolute band gaps when r/R=0.485, R=0.406um, and Ө =600.

The Dispersion Characteristic of 2D Air-Hole-Type Square Photonic Crystal Calculated by Plane Wave Expansion Method

2012 ◽  
Vol 486 ◽  
pp. 198-203
Author(s):  
Li Bin Zhou ◽  
Qin Fang Xu ◽  
Lei Liang
Keyword(s):  
Photonic Crystal ◽  
Plane Wave ◽  
Dispersion Characteristic ◽  
Expansion Method ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Te Mode ◽  
Tm Mode ◽  
Air Hole

To study the dispersion characteristic of photonic crystal, the eigen-equations matrix of the light transmitting in is gotten in plane-wave expansion method, then the dispersion curves are calculated for two dimensional air-hole-type square photonic crystal respectively. And the influence on the band structures caused by oblique incidence also is studied by change incidence angle. The results of calculations demonstrate that: For two dimensional square structure photonic crystals, the shape of the band structures of TE mode is very similar to that of TM mode, but their positions of band gaps are different, especially the first band gap of TE mode in the square structure in <11> direction is completely staggered with that of the TM mode. Moreover, we get the conclusion that the width of band gap enlarges with the increasing radius of the hole in square photonic crystal in <10> direction.

scholarly journals Slow light in photonic crystals waveguides

2013 ◽  
Vol 23 ◽  
pp. 27-30
Author(s):  
G. López-Galmiche ◽  
A. Vázquez-Guardado ◽  
I. De León ◽  
J. J. Sánchez-Mondragón
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystals ◽  
Plane Wave ◽  
Slow Light ◽  
Expansion Method ◽  
Photonic Crystal Waveguide ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

We analyzed the scattering produced by technological imperfections in a strip photonic crystal waveguide. Modeling and losses analysis of the slow light structures were carried out by plane wave expansion method using the MPB software.

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