59 citations · 178 across the 34 of their papers we have counts for
12 papers · 1 filter
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…
The Non-Hermitian Skin Effect With Three-Dimensional Long-Range Coupling
Habib Ammari, Silvio Barandun, Jinghao Cao +3
We study the non-Hermitian skin effect in a three-dimensional system of finitely many subwavelength resonators with an imaginary gauge potential. We introduce a discrete approximat…
Topologically protected modes in dispersive materials: the case of undamped systems
Konstantinos Alexopoulos, Bryn Davies
This work extends the theory of topological protection to dispersive systems. This theory has emerged from the field of topological insulators and has been established for continuu…
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…
Landscape of wave focusing and localisation at low frequencies
Bryn Davies, Yiqi Lou
High-contrast scattering problems are special among classical wave systems as they allow for strong wave focusing and localisation at low frequencies. We use an asymptotic framewor…
Mathematical foundations of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Jinghao Cao +2
We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prov…