Work

Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations

Year: 2009
Type: article
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 shown that three exterior cloaking devices placed around the object suffice to hide it.
Institution: University of Utah
Language: English
Open Access status: green
OpenAlex ID: W1675965730
FWCI: 5.997
Cites: 33
Cited by: 160
Related to: 10