2009
DOI: 10.1103/physrevlett.103.073901
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Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations

Abstract: 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 s… Show more

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Cited by 142 publications
(168 citation statements)
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“…Anomalous localized resonance has also been utilized to conceal small objects, and the cloaking can be achieved in the region external to the cloak [40]. Very recently, a broadband exterior cloaking mechanism, which is based on destructive interference using active cloaking devices, is also proposed by Milton and coworkers [41,42]. In contrast to these methods, Tretyakov et al theoretically and experimentally realized broadband cloaking devices by using transmission-line networks [43,44].…”
Section: Introductionmentioning
confidence: 99%
“…Anomalous localized resonance has also been utilized to conceal small objects, and the cloaking can be achieved in the region external to the cloak [40]. Very recently, a broadband exterior cloaking mechanism, which is based on destructive interference using active cloaking devices, is also proposed by Milton and coworkers [41,42]. In contrast to these methods, Tretyakov et al theoretically and experimentally realized broadband cloaking devices by using transmission-line networks [43,44].…”
Section: Introductionmentioning
confidence: 99%
“…Invisibility, which has been a long-time goal, has received many studies with transformation optics (TO), meta-materials and other methods in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Readers can get some background on this topic with some recent reviews (see e.g., [17,18]).…”
Section: Introductionmentioning
confidence: 99%
“…From the view of optics, the hidden region is isolated from the outside world "optically". The other type is the scattering cancellation cloak (SCC) [7][8][9][10][11][12]. An SCC works by eliminating or greatly reducing the scattering cross section of the hidden object.…”
Section: Introductionmentioning
confidence: 99%
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“…On the other hand, the concept of complementary media was adopted to design external cloaks that can cloak objects at a distance outside the cloaking shell [12,13]. More recently, another cloaking method to design an active exterior cloak was proposed [14], which needs to know in advance the incoming probing wave, including phase information. However, the "antiobject" [12] inside the shell gives rise to certain restrictions.…”
mentioning
confidence: 99%