We are interested in the resonant electromagnetic scattering by all-dielectric metasurfaces
made of a two-dimensional lattice of nanoparticles with high refractive indices. In [Ammari …

We consider the numerical computation of resonances for metallic grating structures with
dispersive media and small slit holes. The underlying eigenvalue problem is nonlinear and …

When wave scattering systems are subject to certain symmetries, resonant states may
decouple from the far-field continuum; they remain localized to the structure and cannot be …

This paper proposes a simple and rigorous Fourier-matching method to study transverse-
magnetic-polarized electro-magnetic resonances by a perfectly conducting slab with a finite …

We study theoretically and numerically the occurrence of Fano resonances in a metagrating
made of slits with some symmetry breaking resulting in a dual period. At low frequency, a …

This work presents a mathematical theory for electromagnetic scattering resonances in a
subwavelength annular hole embedded in a metallic slab, with the annulus width. The …

We investigate the Fano resonance in grating structures using coupled resonators. The
grating consists of a perfectly conducting slab with periodically arranged subwavelength slit …

We consider the propagation of acoustic waves in a 2D waveguide unbounded in one
direction and containing a compact obstacle. The wavenumber is fixed so that only one …

This paper presents a simple Fourier-matching method to rigorously study resonance
frequencies of a sound-hard slab with a finite number of arbitrarily shaped cylindrical holes …

Localized wave oscillations in an open system that do not decay or grow in time, despite
their frequency lying within a continuous spectrum of radiation modes carrying energy to or …