Sensitivity of anomalous localized resonance phenomena with respect to dissipation
| Autor: | Gregory Funchess, Graeme W. Milton, Andrew E. Thaler, Taoufik Meklachi, Daniel Onofrei |
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| Rok vydání: | 2014 |
| Předmět: |
Physics
Superlens Critical distance Condensed matter physics Applied Mathematics 010102 general mathematics Charge density Cloaking Physics::Optics Dissipation Physics::Classical Physics 01 natural sciences Resonance (particle physics) 010101 applied mathematics Mathematics - Analysis of PDEs Physics::Plasma Physics 35Q60 Slab FOS: Mathematics 0101 mathematics Quasistatic process Analysis of PDEs (math.AP) |
| DOI: | 10.48550/arxiv.1406.7044 |
| Popis: | 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 further 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 the rate at which the dissipation outside of the slab goes to zero. Comment: 34 pages, 5 figures |
| Databáze: | OpenAIRE |
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