7 papers · 1 filter
Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain
Habib Ammari, Silvo Barandun, Jiayu Qiu +1
Spectral and transport properties of high-contrast resonator systems can be described in the subwavelength regime in terms of the so-called capacitance operator. In this paper, we…
Non-Hermitian Fabry-Pérot Resonances
Habib Ammari, Erik Orvehed Hiltunen, Bowen Li +4
We characterise non-Hermitian Fabry-Pérot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential mo…
Uniform Hyperbolicity, Bandgaps and Edge Modes in Aperiodic Systems of Subwavelength Resonators
Habib Ammari, Clemens Thalhammer, Alexander Uhlmann
We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling fr…
Competing edge and bulk localisation in non-reciprocal disordered systems
Habib Ammari, Silvio Barandun, Clemens Thalhammer +1
We investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imagina…
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…
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators
Habib Ammari, Silvio Barandun, Alexander Uhlmann
The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide f…