Work

Nonlinear Subwavelength Resonances in Three Dimensions

Year: 2025

Type: article

Abstract: 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 experimentally observed eigenmodes that are induced by the nonlinearities.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70036

Authors: Habib Ammari, Thea Kosche

Institution: ETH Zurich

Language: English

Topic: Acoustic Wave Phenomena Research

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: Mathematics of dielectric artificial media, G993971353