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

We show that defect modes in infinite systems of resonators have corresponding modes in
finite systems which converge as the size of the system increases. We study the generalized …

Elastic periodic lattices act as mechanical filters of incident vibrations. By and large, they
forbid wave propagation within bandgaps and resonate outside them. However, they often …

In this paper, we propose an unfitted Nitsche's method for computing wave modes in
topological materials. The proposed method is based on the Nitsche's technique to study the …

The control and manipulation of wave-matter interactions at subwavelength scales
constitutes an important realm within wave physics. Topological insulators with …

We consider sums of eigenvalues zj of Schrodinger operators− Δ+ V on L2 (Rd) with
complex radial potentials V∈ Lq (Rd), q< d. We prove quantitative bounds on the …