Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method

2008 ◽  
Vol 372 (12) ◽  
pp. 2091-2097 ◽  
Author(s):  
Zhilin Hou ◽  
Badreddine M. Assouar
Keyword(s):  
Wave Propagation ◽  
Plane Wave ◽  
Lamb Wave ◽  
Phononic Crystal ◽  
Expansion Method ◽  
Two Dimensional ◽  
Crystal Layer ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Lamb Wave Propagation

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.

Effects of rotated square inserts on the longitudinal vibration band gaps in thin phononic crystal plates

2015 ◽  
Vol 29 (20) ◽  
pp. 1550105
Author(s):  
Haojiang Zhao ◽  
Rongqiang Liu ◽  
Chuang Shi ◽  
Hongwei Guo ◽  
Zongquan Deng
Keyword(s):  
Plane Wave ◽  
Longitudinal Vibration ◽  
Phononic Crystal ◽  
Expansion Method ◽  
Band Gaps ◽  
Vibration Band ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Filling Fraction ◽  
Gap Width

Longitudinal vibration of thin phononic crystal plates with a hybrid square-like array of square inserts is investigated. The plane wave expansion method is used to calculate the vibration band structure of the plate. Numerical results show that rotated square inserts can open several vibration gaps, and the band structures are twisted because of the rotation of inserts. Filling fraction and material of the insert affect the change law of the gap width versus the rotation angles of square inserts.

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 Stochastic Modeling of 2D Photonic Crystals

2021 ◽  
Author(s):  
Mohamed I. Wafa ◽  
Yasser M. El-Batawy ◽  
Sahar A. El-Naggar
Keyword(s):  
Photonic Crystals ◽  
Plane Wave ◽  
Stochastic Modeling ◽  
Stochastic Analysis ◽  
Expansion Method ◽  
Numerical Results ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

Abstract Due to the fabrication processes, inaccurate manufacturing of the photonic crystals (PCs) might occur which affect their performance. In this paper, we examine the effects of tolerance variations of the radii of the rods and the permittivity of the material of the two-dimensional PCs on their performance. The presented stochastic analysis relies on plane wave expansion method and Mote Carlo simulations. We focus on two structures, namely Si-Rods PCs and Air-Holes PCs. Numerical results show – for both structures – that uncertainties in the dimensions of the PCs have higher impact on its photonic gap than do the uncertainties in the permittivity of the Si material. In addition, Air-Holes PCs could be a good candidate with least alteration in the photonic gap considering deviations that might occur in the permittivity of Si due to impurities up to 5%.

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