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arXiv · 2410.21173

Nonlinear subwavelength resonances in three dimensions

Habib Ammari·Thea Kosche
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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.

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Habib Ammari, Thea Kosche. 2024-10-28. Nonlinear subwavelength resonances in three dimensions. https://arxiv.org/abs/2410.21173

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