128 citations · 1.2k across the 131 of their papers we have counts for
151 papers
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…
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…
Design of defected non-hermitian chains of resonator dimers for spatial and spatio-temporal localizations
Habib Ammari, Erik Orvehed Hiltunen, Thea Kosche
The aim of this article is to advance the field of metamaterials by proposing formulas for the design of high-contrast metamaterials with prescribed subwavelength defect mode eigen…
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…
An Operator Theory for Analyzing the Resolution of Multi-illumination Imaging Modalities
Ping Liu, Habib Ammari
By introducing a new operator theory, we provide a unified mathematical theory for general source resolution in the multi-illumination imaging problem. Our main idea is to transfor…