Surface acoustic waves in pillars-based two-dimensional phononic structures with different lattice symmetries

被引：29

作者：

Khelif, Abdelkrim ^{[1
]}

Achaoui, Younes ^{[1
]}

Aoubiza, Boujemaa ^{[2
]}

机构：

[1] Univ Franche Comte, Inst FEMTO ST, CNRS, F-25044 Besancon, France

[2] Univ Franche Comte, Math Lab, F-25030 Besancon, France

来源：

JOURNAL OF APPLIED PHYSICS | 2012年 / 112卷 / 03期

关键词：

BAND-STRUCTURE; CRYSTAL;

D O I：

10.1063/1.4737780

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The theoretical study deals with the propagation of surface acoustic waves in two-dimensional arrays of resonant elements with different symmetry lattices. The resonant elements are cylindrical pillars on the surface of a semi-infinite substrate. The obtained band structures show the interaction of the pillars acoustic resonances with the semi-infinite medium which form additional band gaps that are decoupled from Bragg gaps. Especially, the frequency position of the lowest band gap is invariant with respect to lattice symmetries. Thereby, this position is independent of the lattice pitch, which is unexpected in band gaps based on Bragg interferences. However, the role of the period remains important for defining the non-radiative region limited by the slowest bulk mode and influencing the existence of the guided modes. Numerical simulations are based on the efficient finite element method and considered silicon pillars on a silicon substrate. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4737780]

引用

页数：4

共 19 条

[1] Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars [J].

Achaoui, Younes ;

Khelif, Abdelkrim ;

Benchabane, Sarah ;

Robert, Laurent ;

Laude, Vincent .

PHYSICAL REVIEW B, 2011, 83 (10)

[2] Observation of surface-guided waves in holey hypersonic phononic crystal [J].

Benchabane, Sarah ;

Gaiffe, Olivier ;

Ulliac, Gwenn ;

Salut, Roland ;

Achaoui, Younes ;

Laude, Vincent .

APPLIED PHYSICS LETTERS, 2011, 98 (17)

[3] Ultrasonic metamaterials with negative modulus [J].

Fang, Nicholas ;

Xi, Dongjuan ;

Xu, Jianyi ;

Ambati, Muralidhar ;

Srituravanich, Werayut ;

Sun, Cheng ;

Zhang, Xiang .

NATURE MATERIALS, 2006, 5 (06) :452-456

[4] Evidence of Fano-like interference phenomena in locally resonant materials -: art. no. 225502 [J].

Goffaux, C ;

Sánchez-Dehesa, J ;

Yeyati, AL ;

Lambin, P ;

Khelif, A ;

Vasseur, JO ;

Djafari-Rouhani, B .

PHYSICAL REVIEW LETTERS, 2002, 88 (22) :225502/1-225502/4

[5] Lamb waves in binary locally resonant phononic plates with two-dimensional lattices [J].

Hsu, Jin-Chen ;

Wu, Tsung-Tsong .

APPLIED PHYSICS LETTERS, 2007, 90 (20)

[6] Complete band gaps in two-dimensional phononic crystal slabs [J].

Khelif, A. ;

Aoubiza, B. ;

Mohammadi, S. ;

Adibi, A. ;

Laude, V. .

PHYSICAL REVIEW E, 2006, 74 (04)

[7] Guided elastic waves along a rod defect of a two-dimensional phononic crystal [J].

Khelif, A. ;

Wilm, M. ;

Laude, V. ;

Ballandras, S. ;

Djafari-Rouhani, B. .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 69 (6 2) :067601-1

[8] Trapping and guiding of acoustic waves by defect modes in a full-band-gap ultrasonic crystal [J].

Khelif, A ;

Choujaa, A ;

Djafari-Rouhani, B ;

Wilm, M ;

Ballandras, S ;

Laude, V .

PHYSICAL REVIEW B, 2003, 68 (21)

[9] Guiding and bending of acoustic waves in highly confined phononic crystal waveguides [J].

Khelif, A ;

Choujaa, A ;

Benchabane, S ;

Djafari-Rouhani, B ;

Laude, V .

APPLIED PHYSICS LETTERS, 2004, 84 (22) :4400-4402

[10] Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface [J].

Khelif, Abdelkrim ;

Achaoui, Younes ;

Benchabane, Sarah ;

Laude, Vincent ;

Aoubiza, Boujamaa .

PHYSICAL REVIEW B, 2010, 81 (21)

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