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Mathematics > Analysis of PDEs

arXiv:1804.09517 (math)
[Submitted on 25 Apr 2018 (v1), last revised 26 Jan 2019 (this version, v2)]

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

Authors:Hongjie Li, Shanqiang Li, Hongyu Liu, Xianchao Wang
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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.
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Optics (physics.optics)
Cite as: arXiv:1804.09517 [math.AP]
  (or arXiv:1804.09517v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.09517
Journal reference: ESAIM: Mathematical Modelling and Numerical Analysis, 2019

Submission history

From: Hongyu Liu [view email]
[v1] Wed, 25 Apr 2018 12:35:23 UTC (6,899 KB)
[v2] Sat, 26 Jan 2019 03:25:37 UTC (6,685 KB)
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