Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations

被引：116

作者：

Vasquez, Fernando Guevara ^{[1
]}

Milton, Graeme W. ^{[1
]}

Onofrei, Daniel ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 07期

基金：

美国国家科学基金会;

关键词：

FREQUENCIES; DEVICES;

D O I：

10.1103/PhysRevLett.103.073901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new cloaking method is presented for 2D quasistatics and the 2D Helmholtz equation that we speculate extends to other linear wave equations. For 2D quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding fields, yet produce very small scattered fields. The problem is reduced to finding a polynomial which is close to 1 in a disk and close to 0 in another disk, and such a polynomial is constructed. For the 2D Helmholtz equation it is numerically shown that three exterior cloaking devices placed around the object suffice to hide it.

引用

页数：4

共 33 条

[1] Achieving transparency with plasmonic and metamaterial coatings -: art. no. 016623
Alù, A
Engheta, N
[J]. PHYSICAL REVIEW E, 2005, 72 (01):
[2] Plasmonic and metamaterial cloaking:: physical mechanisms and potentials
Alu, Andrea
Engheta, Nader
[J]. JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2008, 10 (09):
[3] Superlens-cloaking of small dielectric bodies in the quasistatic regime
Bruno, Oscar P.
Lintner, Stephane
[J]. JOURNAL OF APPLIED PHYSICS, 2007, 102 (12)
[4] Nonmagnetic cloak with minimized scattering
Cai, Wenshan
Chettiar, Uday K.
Kildishev, Alexander V.
Shalaev, Vladimir M.
Milton, Graeme W.
[J]. APPLIED PHYSICS LETTERS, 2007, 91 (11)
[5] Optical cloaking with metamaterials
Cai, Wenshan
Chettiar, Uday K.
Kildishev, Alexander V.
Shalaev, Vladimir M.
[J]. NATURE PHOTONICS, 2007, 1 (04) : 224 - 227
[6] Colton D., 1998, APPL MATH SCI
[7] Dolin LS., 1961, IZV VUZ KHIM KH TEKH, V4, P964
[8] Broadband cylindrical acoustic cloak for linear surface waves in a fluid
Farhat, M.
Enoch, S.
Guenneau, S.
Movchan, A. B.
[J]. PHYSICAL REVIEW LETTERS, 2008, 101 (13)
[9] FFOWCSWILLIAMS JE, 1984, P ROY SOC LOND A MAT, V395, P63
[10] GABRIELLI LH, ARXIV09043508V1

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