The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

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 …

This is a survey of accumulated spectral analysis observations spanning more than a
century, referring to the double layer potential integral equation, also known as Neumann …

We consider the anomalous localized resonance induced by negative elastic metamaterials
and its application in invisibility cloaking. We survey the recent mathematical developments …

This paper presents novel methodologies for the numerical simulation of scattering of elastic
waves by both closed and open surfaces in three-dimensional space. The proposed …

This paper is concerned with the analysis of surface polariton resonance for nanoparticles in
linear elasticity. With the presence of nanoparticles, we first derive the perturbed …

This is a review paper on recent development on the spectral theory of the Neumann-
Poincaré operator. The topics to be covered are convergence rate of eigenvalues of the …

This paper reports some interesting discoveries about the localization and geometrization
phenomenon in plasmon resonances and the intrinsic geometric structures of Neumann …

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 …

We consider the adjoint double layer potential (Neumann–Poincaré (NP)) operator
appearing in 3-dimensional elasticity. We show that the recent result about the polynomial …