Double-negative electromagnetic metamaterials due to chirality

Habib Ammari, Wei Wu, Sanghyeon Yu

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 sub-wavelength resonators, which may limit the applicability of doublenegative 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.

Original languageEnglish
Pages (from-to)105-130
Number of pages26
JournalQuarterly of Applied Mathematics
Issue number1
Publication statusPublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 Brown University.


  • Chiral materials
  • Double-negative metamaterials
  • Effective medium theory
  • Electric and magnetic resonant dipoles
  • Plasmonic nanoparticles
  • Sub-wavelength resonance

ASJC Scopus subject areas

  • Applied Mathematics


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