Mathematical foundations of the non-Hermitian skin effect
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 …
resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we …
Edge modes in subwavelength resonators in one dimension
We present the mathematical theory of one-dimensional infinitely periodic chains of
subwavelength resonators. We analyze both Hermitian and non-Hermitian systems …
subwavelength resonators. We analyze both Hermitian and non-Hermitian systems …
Exponentially localized interface eigenmodes in finite chains of resonators
This paper studies wave localization in chains of finitely many resonators. There is an
extensive theory predicting the existence of localized modes induced by defects in infinitely …
extensive theory predicting the existence of localized modes induced by defects in infinitely …
Spectral convergence in large finite resonator arrays: the essential spectrum and band structure
We show that the resonant frequencies of a system of coupled resonators in a truncated
periodic lattice converge to the essential spectrum of the corresponding infinite lattice. We …
periodic lattice converge to the essential spectrum of the corresponding infinite lattice. We …
The non-Hermitian skin effect with three-dimensional long-range coupling
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 …
subwavelength resonators with an imaginary gauge potential. We introduce a discrete …
Space-Time Wave Localisation in Systems of Subwavelength Resonators
In this paper we study the dynamics of metamaterials composed of high-contrast
subwavelength resonators and show the existence of localised modes in such a setting. A …
subwavelength resonators and show the existence of localised modes in such a setting. A …
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators
H Ammari, S Barandun, A Uhlmann - arXiv preprint arXiv:2410.17597, 2024 - arxiv.org
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems
of resonators Page 1 Truncated Floquet-Bloch transform for computing the spectral properties of …
of resonators Page 1 Truncated Floquet-Bloch transform for computing the spectral properties of …
Subwavelength Localisation in Disordered Systems
H Ammari, S Barandun, A Uhlmann - arXiv preprint arXiv:2412.13954, 2024 - arxiv.org
We consider disordered finite systems of subwavelength resonators where the disorder is in
the spatial arrangement of the resonators and their material parameters are perturbed …
the spatial arrangement of the resonators and their material parameters are perturbed …
Design of defected non-hermitian chains of resonator dimers for spatial and spatio-temporal localizations
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 …
design of high-contrast metamaterials with prescribed subwavelength defect mode …
Mathematical Foundation for Symmetry Breaking in Subwavelength Physics
J Cao - 2024 - research-collection.ethz.ch
The control and manipulation of wave-matter interactions at subwavelength scales
constitutes an important realm within wave physics. Topological insulators with …
constitutes an important realm within wave physics. Topological insulators with …