On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit

Hongjie Li, Hongyu LIU*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

27 Citations (Scopus)


In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain finite frequencies beyond the quasistatic limit. The crucial ingredient in our study is that the plasmon constant and the loss parameter are constructed in a delicate way that are correlated and depend on the source and the size of the plasmonic structure. As a significant by-product of this study, we also derive the complete spectrum of the Neumann–Poincáre operator associated with the Helmholtz equation with finite frequencies in the radial geometry. The spectral result is the first one in its type and is of significant mathematical interest for its own sake.

Original languageEnglish
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2218
Publication statusPublished - 1 Oct 2018

Scopus Subject Areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

User-Defined Keywords

  • Anomalous localized resonance
  • Beyond quasi-static limit
  • Core-shell structure
  • Neumann–Poincáre operator
  • Plasmonic material
  • Spectral


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