Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications

Hongjie Li, Shanqiang Li, Hongyu LIU*, Xianchao Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the inclusions are allowed to be negative-valued. Using layer potential techniques for the full Maxwell system, the scattering problem is reformulated into a system of integral equations. We derive the complete eigensystem of the involved matrix-valued integral operator within spherical geometry. As applications, we construct two types of plasmonic structures such that one can induce surface plasmon resonances within finite frequencies and the other one can produce invisibility cloaking. It is particularly noted that the cloaking effect is a newly found phenomenon and is of different nature from those existing ones for plasmonic structures in the literature. The surface plasmon resonance result may find applications in electromagnetic imaging.

Original languageEnglish
Pages (from-to)1351-1371
Number of pages21
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume53
Issue number4
DOIs
Publication statusPublished - 1 Jul 2019

Scopus Subject Areas

  • Analysis
  • Numerical Analysis
  • Modelling and Simulation
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Beyond quasi-static limit
  • Cloaking
  • Electromagnetic scattering
  • Finite frequencies
  • Plasmonic inclusions
  • Surface plasmon resonances

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