3 citations · 9 across the 23 of their papers we have counts for
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Subwavelength Localisation in Disordered Systems
Habib Ammari, Silvio Barandun, Alexander Uhlmann
We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonat…
Effective Medium Theory for Time-modulated Subwavelength Resonators
Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen +1
This paper provides a general framework for deriving effective material properties of one-dimensional, time-modulated systems of subwavelength resonators. It applies to subwaveleng…
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators
Habib Ammari, Silvio Barandun, Alexander Uhlmann
The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide f…
Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
Habib Ammari, Silvio Barandun, Ping Liu
We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonat…
Space-Time Wave Localisation in Systems of Subwavelength Resonators
Habib Ammari, Erik Orvehed Hiltunen, Liora Rueff
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 crucial assum…
Generalised Brillouin Zone for Non-Reciprocal Systems
Habib Ammari, Silvio Barandun, Ping Liu +1
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…
Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
Habib Ammari, Silvio Barandun, Ping Liu +1
The aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in a deep subwavelength regime. Consid…
A two-scale effective model for defect-induced localization transitions in non-Hermitian systems
Bryn Davies, Silvio Barandun, Erik Orvehed Hiltunen +2
We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian wit…
Spectra and pseudo-spectra of tridiagonal -Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn +2
We establish new results on the spectra and pseudo-spectra of tridiagonal -Toeplitz operators and matrices. In particular, we prove the connection between the winding number of…
Scattering from time-modulated subwavelength resonators
Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen +1
We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of couple…