6 citations · 7 across the 7 of their papers we have counts for
15 papers
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials
Habib Ammari, Erik Orvehed Hiltunen, Thea Kosche
Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coef…
Non-reciprocal wave propagation in space-time modulated media
Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen
We prove the possibility of achieving non-reciprocal wave propagation in space-time modulated media and give an asymptotic analysis of the non-reciprocity property in terms of the…
On the validity of the tight-binding method for describing systems of subwavelength resonators
Habib Ammari, Francesco Fiorani, Erik Orvehed Hiltunen
The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation. By doing so, we open the way to the use of mathematical techniques and tool…
Bound states in the continuum and Fano resonances in subwavelength resonator arrays
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be exci…
Time-dependent high-contrast subwavelength resonators
Habib Ammari, Erik Orvehed Hiltunen
In the field of metamaterials, many intriguing phenomena arise from having a structure which is periodic in space. In time-dependent structures, conceptually similar properties can…
Wave interaction with subwavelength resonators
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials…