A homogenization route towards square cylindrical acoustic cloaks

被引：44

作者：

Farhat, Mohamed ^{[2
]}

Guenneau, Sebastien ^{[1
]}

Enoch, Stefan ^{[2
]}

Movchan, Alexander ^{[1
]}

Zolla, Frederic ^{[2
]}

Nicolet, Andre ^{[2
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England

[2] CNRS, UMR 6133, Inst Fresnel, F-13397 Marseille 20, France

来源：

NEW JOURNAL OF PHYSICS | 2008年 / 10卷

关键词：

D O I：

10.1088/1367-2630/10/11/115030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse the acoustic properties of a square cylindrical heterogeneous orthotropic cloak deduced from a geometric transform. We propose to achieve some of the properties of this cloak with an elastic square coating divided into 256 cracks preserving its four-fold symmetry. The cloaking mechanism renders freely vibrating and clamped inclusions neutral to some extent and is inherently broadband: provided that the working wavelength is at least three times larger than the outermost sectors of the coating, its homogenized elastic parameters display some transverse anisotropy. Finally, we compare such a cloak to an absorbing coating consisting of elliptical inclusions.

引用

页数：17

共 69 条

[1] Achieving transparency with plasmonic and metamaterial coatings -: art. no. 016623 [J].

Alù, A ;

Engheta, N .

PHYSICAL REVIEW E, 2005, 72 (01)

[2] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[3] Asymptotic models of dilute composites with imperfectly bonded inclusions [J].

Bigoni, D ;

Serkov, SK ;

Valentini, M ;

Movchan, AB .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (24) :3239-3258

[4] Optical cloaking with metamaterials [J].

Cai, Wenshan ;

Chettiar, Uday K. ;

Kildishev, Alexander V. ;

Shalaev, Vladimir M. .

NATURE PHOTONICS, 2007, 1 (04) :224-227

[5] Finite checkerboards of dissipative negative refractive index [J].

Chakrabarti, Sangeeta ;

Ramakrishna, S. Anantha ;

Guenneau, S. .

OPTICS EXPRESS, 2006, 14 (26) :12950-12957

[6] Electromagnetic wave interactions with a metamaterial cloak [J].

Chen, Hongsheng ;

Wu, Bae-Ian ;

Zhang, Baile ;

Kong, Jin Au .

PHYSICAL REVIEW LETTERS, 2007, 99 (06)

[7] Acoustic cloaking in three dimensions using acoustic metamaterials [J].

Chen, Huanyang ;

Chan, C. T. .

APPLIED PHYSICS LETTERS, 2007, 91 (18)

[8] Non-local homogenized limits for composite media with highly anisotropic periodic fibres [J].

Cherednichenko, KD ;

Smyshlyaev, VP ;

Zhikov, VV .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 :87-114

[9] Scattering theory derivation of a 3D acoustic cloaking shell [J].

Cummer, Steven A. ;

Popa, Bogdan-Ioan ;

Schurig, David ;

Smith, David R. ;

Pendry, John ;

Rahm, Marco ;

Starr, Anthony .

PHYSICAL REVIEW LETTERS, 2008, 100 (02)

[10] One path to acoustic cloaking [J].

Cummer, Steven A. ;

Schurig, David .

NEW JOURNAL OF PHYSICS, 2007, 9

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