128 citations · 1.2k across the 131 of their papers we have counts for
4 papers · 2 filters
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…
Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators
Habib Ammari, Silvio Barandun, Ping Liu
The aim of this paper is fourfold: (i) to obtain explicit formulas for the eigenpairs of perturbed tridiagonal block Toeplitz matrices; (ii) to make use of such formulas in order t…
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…