5 papers
Nonlinear subwavelength resonances in three dimensions
Habib Ammari, Thea Kosche
In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelen…
Exponentially localised interface eigenmodes in finite chains of resonators
Habib Ammari, Silvio Barandun, Bryn Davies +3
This paper studies wave localisation in chains of finitely many resonators. There is an extensive theory predicting the existence of localised modes induced by defects in infinitel…
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…
Topological phenomena in honeycomb Floquet metamaterials
Habib Ammari, Thea Kosche
We dedicate this paper to the topological analysis of subwavelength solutions in Floquet metamaterials. This work should be considered as a basis for further investigation on wheth…
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…