Active exterior cloaking for the 2D Laplace and Helmholtz equations

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...

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Bibliographic Details
Published inPhysical review letters Vol. 103; no. 7; p. 073901
Main Authors Vasquez, Fernando Guevara, Milton, Graeme W, Onofrei, Daniel
Format Journal Article
LanguageEnglish
Published United States 14.08.2009
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Summary: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.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.103.073901