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On the Sensitivity of Anomalous Localized Resonance Phenomena with Respect to Dissipation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Onofrei, Daniel |
| Copyright Year | 2014 |
| 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 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. 2010 Mathematics Subject Classification. 35Q60 . The work of Graeme W. Milton was supported by the National Science Foundation through grants DMS-0707978 and DMS-1211359. The work of Daniel Onofrei was supported under the Simons Collaborative Grant and AFOSR YIP award No. FA9550-13-1-0078. The work of Andrew E. Thaler was supported by the National Science Foundation through grants DMS0707978 and DMS-1211359. E-mail address: E-mail address: milton@math.utah.edu E-mail address: onofrei@math.uh.edu E-mail address: thaler@math.utah.edu E-mail address: c ©XXXX Brown University 1 2 T. MEKLACHI, G. W. MILTON, D. ONOFREI, A. E. THALER, AND G. FUNCHESS |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.math.uh.edu/~onofrei/alr_paper_QAM_version.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Email Goto Keneth Alden Simons Mathematics Subject Classification Resonance Slab allocation funding grant |
| Content Type | Text |
| Resource Type | Article |
