59 citations · 230 across the 37 of their papers we have counts for
5 papers · 2 filters
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…
Nonlocal PDEs and Quantum Optics: Bound States and Resonances
Erik Orvehed Hiltunen, Joseph Kraisler, John C Schotland +1
We consider the quantum optics of a single photon interacting with a system of two level atoms. This leads to the study of a nonlinear eigenproblem for a system of nonlocal partial…
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…