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 …

Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …

Through the application of layer potential techniques and Gohberg–Sigal theory we derive
an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We …

In this paper we use the full Maxwell equations for light propagation in order to analyze
plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic …

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 …

The aim of this paper is to provide a mathematical theory for understanding the mechanism
behind the double-negative refractive index phenomenon in bubbly fluids. The design of …

We first investigate spectral properties of the Neumann–Poincaré (NP) operator for the Lamé
system of elasto-statics. We show that the elasto-static NP operator can be symmetrized in …

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 …

Robustly manipulating waves on subwavelength scales can be achieved by, first, designing
a structure with a subwavelength band gap and, second, introducing a defect so that …

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 …