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 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.
Vasquez
Fernando Guevara
FG
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
Milton
Graeme W
GW
Onofrei
Daniel
D