Sensitivity of anomalous localized resonance phenomena with respect to dissipation

Taoufik Meklachi, Graeme W. Milton, Daniel Onofrei, Andrew E. Thaler, Gregory Funchess

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We analyze cloaking due to anomalous localized resonance in the quasistatic regime in the case when a general charge density distribution is brought near a slab superlens. If the charge density distribution is within a critical distance of the slab, then the power dissipation within the slab blows up as certain electrical dissipation parameters go to zero. The potential remains bounded far away from the slab in this limit, which leads to cloaking due to anomalous localized resonance. On the other hand, if the charge density distribution is farther than this critical distance from the slab, then the power.

Original languageEnglish (US)
Pages (from-to)201-234
Number of pages34
JournalQuarterly of Applied Mathematics
Volume74
Issue number2
DOIs
StatePublished - 2016

Bibliographical note

Funding Information:
The work of the first author was supported by the Air Force through grant AFOSR YIP Early Career Award FA9550-13-1-0078. The work of the second author was supported by the National Science Foundation through grant DMS-1211359. The work of the third author was supported under the Simons Collaborative Grant and the Air Force through grant AFOSR YIP Early Career Award FA9550-13-1-0078. The work of the fourth author was supported by the National Science Foundation through grant DMS-1211359. The work of the fifth author was supported by the Air Force through grant AFOSR YIP Early Career Award FA9550-13-1-0078.

Publisher Copyright:
© 2016 Brown University.

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