On Anomalous Localized Resonance for the Elastostatic System
Analysis of PDEs
2016-01-29 v1 Mathematical Physics
math.MP
Abstract
We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in R^2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that anomalous localized resonance (ALR) occurs. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions.
Keywords
Cite
@article{arxiv.1601.07744,
title = {On Anomalous Localized Resonance for the Elastostatic System},
author = {Hongjie Li and Hongyu Liu},
journal= {arXiv preprint arXiv:1601.07744},
year = {2016}
}
Comments
21 pages, no figure