Showing math-phShow all
2 papers · 1 filter
math-ph2024
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…
math-ph2023
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…