## 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 language | English |
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Pages (from-to) | 1351-1371 |

Number of pages | 21 |

Journal | ESAIM: Mathematical Modelling and Numerical Analysis |

Volume | 53 |

Issue number | 4 |

DOIs | |

Publication status | Published - 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