Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications
- Resource Type
- Authors
- Shanqiang Li; Hongjie Li; Hongyu Liu; Xianchao Wang
- Source
- Subject
- Permittivity
Cloaking
FOS: Physical sciences
Physics::Optics
01 natural sciences
Spherical geometry
Quasistatic approximation
Mathematics - Analysis of PDEs
FOS: Mathematics
0101 mathematics
Surface plasmon resonance
Plasmon
Mathematical Physics
Mathematics
Numerical Analysis
Scattering
Applied Mathematics
010102 general mathematics
Surface plasmon
Mathematical Physics (math-ph)
Computational physics
010101 applied mathematics
Computational Mathematics
Modeling and Simulation
Analysis
Analysis of PDEs (math.AP)
Optics (physics.optics)
Physics - Optics
- Language
- English
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.