3 citations · 9 across the 23 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…