Acoustic wave band gaps in triangular and honeycomb two‐dimensional phononic crystals

Novel phononic crystal structures on thin plates for material science applications in ultrasonic range (~ MHz) are described. Phononic crystals are created by a periodic arrangement of two or more materials displaying a strong contrast in their elastic properties and density. Because of the artificial periodic elastic structures of phononic crystals, there can exist frequency ranges in which waves cannot propagate, giving rise to phononic band gaps which are analogous to photonic band gaps for electromagnetic waves in the well-documented photonic crystals. In the past decades, the phononic structures and acoustic band gaps based on bulk materials have been researched in length. However few investigations have been performed on phononic structures on thin plates to form surface acoustic wave band gaps. In this presentation, we report a new approach: patterning two dimensional membranes to form phononic crystals, searching for specific acoustic transport properties and surface acoustic waves band gaps through a series of deliberate designs and experimental characterizations. The proposed phononic crystals are numerically simulated through a three-dimensional plane wave expansion (PWE) method and experimentally characterized by a laser ultrasonics instrument that has been developed in our laboratory.

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Sonic Wave Band Gaps in Two-Dimensional Phononic Crystals Consisting of Hollow Mercury Columns Immersed in a Water Host, and Arranged in Simple Lattices

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.875-877.512 ◽

2014 ◽

Vol 875-877 ◽

pp. 512-517

Author(s):

Yong Gang Xie ◽

Jian Bing Chen ◽

Gai Jing Huangfu ◽

Hai Yang

Keyword(s):

Cross Sections ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band ◽

Two Dimensional ◽

Frequency Filtering ◽

Filling Fraction ◽

Water Columns ◽

Sonic Wave ◽

Gap Width

In this paper, band gaps for two-dimensional phononic crystals consisting of hollow square water columns immersed in a mercury host are investigated by plane-wave-expansion (PWE) method, in which cross sections of the scattering objects are hollow-square and hollow water columns are arranged in simple lattices (square, and triangular lattices). In order to regulate band gaps, we alter inner side lengths of hollow-square column, and change the filling ratio at the same time. From the results, It can be found that the band gap width and the number of the bad gaps can be changed by lattice shapes and corresponding filling fraction. This could be very useful in the design of phononic crystals band gaps and frequency filtering.

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Evidence of surface acoustic wave band gaps in the phononic crystals created on thin plates

Applied Physics Letters ◽

10.1063/1.2167794 ◽

2006 ◽

Vol 88 (4) ◽

pp. 041911 ◽

Cited By ~ 76

Author(s):

Xinya Zhang ◽

Ted Jackson ◽

Emmanuel Lafond ◽

Pierre Deymier ◽

Jerome Vasseur

Keyword(s):

Acoustic Wave ◽

Surface Acoustic Wave ◽

Phononic Crystals ◽

Band Gaps ◽

Thin Plates ◽

Wave Band

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Elastic wave band gaps tuned by configuring radii of rods in two-dimensional phononic crystals with a hybrid square-like lattice

Modern Physics Letters B ◽

10.1142/s0217984915502425 ◽

2015 ◽

Vol 29 (35n36) ◽

pp. 1550242

Author(s):

Rongqiang Liu ◽

Haojiang Zhao ◽

Yingying Zhang ◽

Honghwei Guo ◽

Zongquan Deng

Keyword(s):

Plane Wave ◽

Elastic Wave ◽

Phononic Crystals ◽

Numerical Results ◽

Band Gaps ◽

Square Lattice ◽

Wave Band ◽

Two Dimensional ◽

Plane Wave Expansion ◽

Band Structures

The plane wave expansion (PWE) method is used to calculate the band gaps of two-dimensional (2D) phononic crystals (PCs) with a hybrid square-like (HSL) lattice. Band structures of both XY-mode and Z-mode are calculated. Numerical results show that the band gaps between any two bands could be maximized by altering the radius ratio of the inclusions at different positions. By comparing with square lattice and bathroom lattice, the HSL lattice is more efficient in creating larger gaps.

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Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Shock and Vibration ◽

10.1155/2015/239832 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 2

Author(s):

Mao Liu ◽

Pei Li ◽

Yongteng Zhong ◽

Jiawei Xiang

Keyword(s):

Band Gap ◽

Phononic Crystal ◽

Engineering Application ◽

Low Frequency ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band ◽

Two Dimensional ◽

Frequency Range ◽

Gap Characteristics

A new two-dimensional locally resonant phononic crystal with microcavity structure is proposed. The acoustic wave band gap characteristics of this new structure are studied using finite element method. At the same time, the corresponding displacement eigenmodes of the band edges of the lowest band gap and the transmission spectrum are calculated. The results proved that phononic crystals with microcavity structure exhibited complete band gaps in low-frequency range. The eigenfrequency of the lower edge of the first gap is lower than no microcavity structure. However, for no microcavity structure type of quadrilateral phononic crystal plate, the second band gap disappeared and the frequency range of the first band gap is relatively narrow. The main reason for appearing low-frequency band gaps is that the proposed phononic crystal introduced the local resonant microcavity structure. This study provides a good support for engineering application such as low-frequency vibration attenuation and noise control.

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