59 citations · 178 across the 34 of their papers we have counts for
6 papers · 1 filter
Universal estimates for the density of states for aperiodic block subwavelength resonator systems
Habib Ammari, Silvio Barandun, Bryn Davies +2
We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…
Exponentially localised interface eigenmodes in finite chains of resonators
Habib Ammari, Silvio Barandun, Bryn Davies +3
This paper studies wave localisation in chains of finitely many resonators. There is an extensive theory predicting the existence of localised modes induced by defects in infinitel…
Stability of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Bryn Davies +2
This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonator…
Spectral convergence in large finite resonator arrays: the essential spectrum and band structure
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen
We show that resonant frequencies of a system of coupled resonators in a truncated periodic lattice converge to the essential spectrum of corresponding infinite lattice. We use the…
Convergence rates for defect modes in large finite resonator arrays
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen
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…
Symmetry-induced quasicrystalline waveguides
Bryn Davies, Richard V Craster
Introducing an axis of reflectional symmetry in a quasicrystal leads to the creation of localised edge modes that can be used to build waveguides. We develop theory that characteri…