Anomalous Localized Resonance Phenomena in the Nonmagnetic, Finite-Frequency Regime

作者:Onofrei Daniel*; Thaler Andrew E
来源:Advances in Mathematical Physics, 2016, 2016: 4156072.
DOI:10.1155/2016/4156072

摘要

The phenomenon of anomalous localized resonance (ALR) is observed at the interface between materials with positive and negative material parameters and is characterized by the fact that when a given source is placed near the interface, the electric and magnetic fields start to have very fast and large oscillations around the interface as the absorption in the materials becomes very small while they remain smooth and regular away from the interface. In this paper, we discuss the phenomenon of anomalous localized resonance (ALR) in the context of an infinite slab of homogeneous, nonmagnetic material (mu = 1) with permittivity epsilon(s) = -1-i delta for some small loss delta << 1 surrounded by positive, nonmagnetic, homogeneous media. We explicitly characterize the limit value of the product between frequency and the width of slab beyond which the ALR phenomenon does not occur and analyze the situation when the phenomenon is observed. In addition, we also construct sources for which the ALR phenomenon never appears.

  • 出版日期2016