Nonlinear subwavelength resonances in three dimensions
Mathematical Physics
2025-04-17 v4 math.MP
Abstract
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 subwavelength resonances of finite systems of high-contrast resonators with Kerr-type nonlinearities. Our discrete formulation is valid in both weak and strong nonlinear regimes. Compared to the linear formulation, it characterizes the extra eigenmodes induced by the non-linearlity that have recently been experimentally observed.
Cite
@article{arxiv.2410.21173,
title = {Nonlinear subwavelength resonances in three dimensions},
author = {Habib Ammari and Thea Kosche},
journal= {arXiv preprint arXiv:2410.21173},
year = {2025}
}