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: 0031-9007doi 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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