scholarly journals Enhanced plane wave expansion analysis for the band structure of bulk modes in two-dimensional high-contrast solid–solid phononic crystals

2014 ◽  
Vol 12 (5) ◽  
pp. 487-492 ◽  
Author(s):  
Mohammadhosein Ghasemi Baboly ◽  
Yasser Soliman ◽  
Mehmet F. Su ◽  
Charles M. Reinke ◽  
Zayd C. Leseman ◽  
...  
Keyword(s):  
Band Structure ◽  
Plane Wave ◽  
Phononic Crystals ◽  
Two Dimensional ◽  
High Contrast ◽  
Plane Wave Expansion ◽  
Wave Expansion

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.

scholarly journals Using PWE/FE Method to Calculate the Band Structures of the Semi-Infinite PCs: Periodic in x–y Plane and Finite in z -direction

2017 ◽  
Vol 42 (4) ◽  
pp. 735-742 ◽  
Author(s):  
Denghui Qian ◽  
Zhiyu Shi
Keyword(s):  
Finite Element ◽  
Band Structure ◽  
Plane Wave ◽  
Composite Structures ◽  
Phononic Crystal ◽  
Plane Wave Expansion ◽  
Fe Method ◽  
Band Structures ◽  
Wave Expansion ◽  
Elastic Composite

Abstract This paper introduces the concept of semi-infinite phononic crystal (PC) on account of the infinite periodicity in x-y plane and finiteness in z-direction. The plane wave expansion and finite element methods are coupled and formulized to calculate the band structures of the proposed periodic elastic composite structures based on the typical geometric properties. First, the coupled plane wave expansion and finite element (PWE/FE) method is applied to calculate the band structures of the Pb/rubber, steel/epoxy and steel/aluminum semi-infinite PCs with cylindrical scatters. Then, it is used to calculate the band structure of the Pb/rubber semi-infinite PC with cubic scatter. Last, the band structure of the rubbercoated Pb/epoxy three-component semi-infinite PC is calculated by the proposed method. Besides, all the results are compared with those calculated by the finite element (FE) method implemented by adopting COMSOL Multiphysics. Numerical results and further analysis demonstrate that the proposed PWE/FE method has strong applicability and high accuracy.

Colloidal nanocrystal superlattices as phononic crystals: plane wave expansion modeling of phonon band structure

RSC Advances ◽  
2016 ◽  
Vol 6 (50) ◽  
pp. 44578-44587 ◽  
Author(s):  
Seid M. Sadat ◽  
Robert Y. Wang
Keyword(s):  
Band Structure ◽  
Plane Wave ◽  
High Frequency ◽  
Three Dimensional ◽  
Organic Matrix ◽  
Phononic Crystals ◽  
Periodic Array ◽  
Plane Wave Expansion ◽  
Phonon Band ◽  
Nanocrystal Superlattices

Colloidal nanocrystal superlattices are a natural platform for high frequency three-dimensional phononic crystals (~102 GHz) because they consist of a periodic array of hard nanoparticles in a soft organic matrix.

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