The goal of this paper is to advance the development of wave-guiding subwavelength
crystals by developing designs whose properties are stable with respect to imperfections in …

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

This work presents a rigorous theory for topological photonic materials in one dimension.
The main focus is on the existence of interface modes that are induced by topological …

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 study bulk/edge aspects of continuous honeycomb lattices in a magnetic field. We
compute the bulk index of Bloch eigenbundles: it equals 2 or–2, with sign depending on …

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 …

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 …

In the field of metamaterials, many intriguing phenomena arise from having a structure which
is periodic in space. In time-dependent structures, conceptually similar properties can arise …

Most previously reported Dirac valley degeneracies in continuous phononic crystal plates
originate from Bragg scattering of the structures and generally have only single-band elastic …

We prove the possibility of achieving unidirectional edge modes in time-modulated supercell
structures. Such finite structures consist of two trimers repeated periodically. Because of their …