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Double-negative electromagnetic metamaterials due to chirality

by H. Ammari and W. Wu and S. Yu

(Report number 2017-56)

Abstract
The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in chiral materials. The design of double-negative metamaterials generally requires the use of two different kinds of subwavelength resonators, which may limit the applicability of double-negative metamaterials. Herein, we rely on media that consist of only a single type of dielectric resonant element, and show how the chirality of the background medium induces double-negative refractive index metamaterial, which refracts waves negatively, hence acting as a superlens. Using plasmonic dielectric particles, it is proved that both the effective electric permittivity and the magnetic permeability can be negative near some resonant frequencies. A justification of the approximation of a plasmonic particle in a chiral medium by the sum of a resonant electric dipole and a resonant magnetic dipole, is provided. Moreover, the set of resonant frequencies is characterized. For an appropriate volume fraction of plasmonic particles with certain conditions on their configuration, a double-negative effective medium can be obtained when the frequency is near one of the resonant frequencies.

Keywords: Plasmonic nanoparticles, sub-wavelength resonance, electric and magnetic resonant dipoles, chiral materials, effective medium theory, double-negative metamaterials.

@Techreport{AWY17_752,
  author = {H. Ammari and W. Wu and S. Yu},
  title = {Double-negative electromagnetic metamaterials due to chirality},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2017-56},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2017/2017-56.pdf },
  year = {2017}
}

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