Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations. Vasquez, F. G., Milton, G. W., & Onofrei, D. Physical Review Letters, 103(7):073901, 2009. arXiv: 0906.1544 ISBN: 0031-9007
doi  abstract   bibtex   
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.
@article{vasquez_active_2009,
	title = {Active {Exterior} {Cloaking} for the {2D} {Laplace} and {Helmholtz} {Equations}},
	volume = {103},
	issn = {00319007},
	doi = {10.1103/PhysRevLett.103.073901},
	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.},
	number = {7},
	journal = {Physical Review Letters},
	author = {Vasquez, Fernando Guevara and Milton, Graeme W. and Onofrei, Daniel},
	year = {2009},
	pmid = {19792644},
	note = {arXiv: 0906.1544
ISBN: 0031-9007},
	pages = {073901},
}

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