On the active manipulation of quasistatic fields and its applications

Details On the active manipulation of quasistatic fields and its applications On the active manipulation of quasistatic fields and its applications

2011-09-19

arxiv.org/abs/1109.4182v1

Mathematics

Analysis of PDEs

Scientific paper

Following the original ideas proposed in \cite{OMV1} and \cite{OMV2} on active exterior cloaking, we present here a systematic method to generate acoustic and electromagnetic fields in quasistatic regime to create desired illusions and energy focusing (with given accuracy) in multiple regions of interests. The central issue here is to design appropriate source functions for the Laplace equation so that the solution the equation satisfying the desired properties. We show the existence and non-uniqueness of solutions to the problem and study the physically relevant unique minimal energy solution. We provide some numerical evidences on the feasibility of the proposed approach.

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