SENSITIVITY OF ANOMALOUS LOCALIZED RESONANCE PHENOMENA WITH RESPECT TO DISSIPATION

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 u...

Full description

Saved in:
Bibliographic Details
Published in:Quarterly of applied mathematics 2016-01, Vol.74 (2), p.201-234
Main Authors: MEKLACHI, TAOUFIK, MILTON, GRAEME W., ONOFREI, DANIEL, THALER, ANDREW E., FUNCHESS, GREGORY
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 dissipation within the slab remains bounded and cloaking due to anomalous localized resonance does not occur. The critical distance is shown to strongly depend on the rate at which the dissipation outside the slab goes to zero.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/1408