Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance
By Habib M. Ammari, Giulio Ciraolo, Hyeonbae Kang, Hyundae Lee, Graeme W. Milton. 2011
202 citations recorded by the source corpus.
The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrization techniques, we give a necessary and sufficient condition on the fixed source term for electromagnetic power dissipation to blow up as the loss parameter of the plasmonic material goes to zero. This condition is written in terms of the Newtonian potential of the source term. In the case of concentric disks, we make the condition even more explicit. Using the condition, we are able to show that for any source supported outside a critical radius, CALR does not take place, and for sources located inside the critical radius satisfying certain conditions, CALR does take place as the loss parameter goes to zero.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ebb5ca851e134f8fbed15006e27eb5c29e5a3511
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Mathematical Physics
Citations in the corpus
- On the Spectrum of the Poincaré Variational Problem for Two Close-to-Touching Inclusions in 2D (2013, background): “See [15] and also [1], where an operator similar to K∗ is studied in the context of cloaking.”
- Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients (2015, background): “Other contributions are [3,4,11,17,34] in which special structures and partial aspects were investigated.”