59 citations · 178 across the 34 of their papers we have counts for
5 papers · 2 filters
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…
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…
The effect of singularities and damping on the spectra of photonic crystals
Konstantinos Alexopoulos, Bryn Davies
Understanding the dispersive properties of photonic crystals is a fundamental and well-studied problem. However, the introduction of singular permittivities and damping complicates…