Light scattering by a small spherical particle, a central topic for electromagnetic scattering
theory, is here considered. In this short review, some of the basic features of its resonant …

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 provide a mathematical framework for localized plasmon resonance of
nanoparticles. Using layer potential techniques associated with the full Maxwell equations …

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 …

We survey functional analytic methods for studying subwavelength resonator systems. In
particular, rigorous discrete approximations of Helmholtz scattering problems are derived in …

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 …

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

We derive an effective medium theory for acoustic wave propagation in a bubbly fluid near
the Minnaert resonant frequency. We start with a multiple scattering formulation of the …

The ability to manipulate the propagation of waves on subwavelength scales is important for
many different physical applications. In this paper, we consider a honeycomb-lattice of …

We present the mathematical theory of one-dimensional infinitely periodic chains of
subwavelength resonators. We analyze both Hermitian and non-Hermitian systems …