Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

The aim of this paper is to give a mathematical justification of cloaking due to anomalous
localized resonance (CALR). We consider the dielectric problem with a source term in a …

We review a selected history of anomalous resonance, cloaking due to anomalous
resonance, cloaking due to complementary media, and superlensing. Résumé. Nous …

Multi-layer structures possess highly geometrically tunable optical resonances to change the
surface plasmon frequencies in the wide range. A simple analytic model is presented to …

A body of literature has developed concerning “cloaking by anomalous localized
resonance.” The mathematical heart of the matter involves the behavior of a divergence-form …

Recently published methods for the quasi-static limit of the Helmholtz equation is extended
to consider near cloaking for the full Maxwell equations. Effective near cloaking structures …

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 …

We study resonance for the Helmholtz equation with a finite frequency in a plasmonic
material of negative dielectric constant in two and three dimensions. We show that the quasi …

We consider plasmon resonances and cloaking for the elastostatic system in R3 via the
spectral theory of the Neumann–Poincaré operator. We first derive the full spectral …

In this paper, we investigate the limiting absorption principle associated to and the well-
posedness of the Helmholtz equations with sign changing coefficients which are used to …