Propagation in one-dimensional crystals with positional and compositional disorder

被引：5

作者：

Maurel, A. ^{[1
]}

Martin, P. A. ^{[2
]}

机构：

[1] Inst Langevin, F-75005 Paris, France

[2] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

来源：

EUROPEAN PHYSICAL JOURNAL B | 2013年 / 86卷 / 11期

关键词：

PHONONIC CRYSTALS; WAVE-PROPAGATION; LOCALIZATION; SYSTEMS; GUIDES;

D O I：

10.1140/epjb/e2013-40893-4

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Propagation in perturbed one-dimensional phononic or photonic crystals, with both compositional and positional disorder, is considered. The coherent potential approximation is used to obtain the band structure and the Floquet normal form of the periodic-on-average perturbed crystal, which is modified differently with respect to the two kinds of disorder. For finite size crystals, the transmission amplitude is calculated and compared to direct numerical simulations and to an estimate based on localization length. The transmission spectrum is found to be better described using the full expression of the Floquet modes of the disordered, but periodic on average, medium.

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页数：10

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共 33 条

[21] Phononic crystals [J].

Page, JH ;

Sukhovich, A ;

Yang, SX ;

Cowan, ML ;

Van der Biest, F ;

Tourin, A ;

Fink, M ;

Liu, ZY ;

Chan, CT ;

Sheng, P .

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2004, 241 (15) :3454-3462

[22] Lamb wave propagation in inhomogeneous elastic waveguides [J].

Pagneux, V ;

Maurel, A .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2024) :1913-1930

[23] A study of wave propagation in varying cross-section waveguides by modal decomposition .1. Theory and validation [J].

Pagneux, V ;

Amir, N ;

Kergomard, J .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1996, 100 (04) :2034-2048

[24] A study of the band structures of elastic wave propagating in piezoelectric/piezomagnetic layered periodic structures [J].

Pang, Yu ;

Wang, Yue-Sheng ;

Liu, Jin-Xi ;

Fang, Dai-Ning .

SMART MATERIALS AND STRUCTURES, 2010, 19 (05)

[25] Fano interference governs wave transport in disordered systems [J].

Poddubny, Alexander N. ;

Rybin, Mikhail V. ;

Limonov, Mikhail F. ;

Kivshar, Yuri S. .

NATURE COMMUNICATIONS, 2012, 3

[26] Mode-selecting acoustic filter by using resonant tunneling of two-dimensional double phononic crystals [J].

Qiu, CY ;

Liu, ZY ;

Mei, J ;

Shi, J .

APPLIED PHYSICS LETTERS, 2005, 87 (10)

[27] Acoustic characterization of the Hofstadter buttery with resonant scatterers [J].

Richoux, O ;

Pagneux, V .

EUROPHYSICS LETTERS, 2002, 59 (01) :34-40

[28] Acoustic wave dispersion in a one-dimensional lattice of nonlinear resonant scatterers [J].

Richoux, O. ;

Tournat, V. ;

Van Suu, T. Le .

PHYSICAL REVIEW E, 2007, 75 (02)

[29] Tunable acoustic waveguides in periodic arrays made of rigid square-rod scatterers: theory and experimental realization [J].

Romero-Garcia, V. ;

Lagarrigue, C. ;

Groby, J-P ;

Richoux, O. ;

Tournat, V. .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2013, 46 (30)

[30] Homogenization of two-dimensional clusters of rigid rods in air [J].

Torrent, Daniel ;

Hakansson, Andreas ;

Cervera, Francisco ;

Sanchez-Dehesa, Jose .

PHYSICAL REVIEW LETTERS, 2006, 96 (20)

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