Nonlinear subwavelength resonances in three dimensions
METADATA ONLY
Loading...
Author / Producer
Date
2024-10
Publication Type
Report
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
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 soliton-like extra eigenmodes that have recently been experimentally observed.
Permanent link
Publication status
published
Editor
Book title
Journal / series
Volume
2024-35
Pages / Article No.
Publisher
Seminar for Applied Mathematics, ETH Zurich
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Nonlinear subwavelength physics; Nonlinear subwavelength resonance; Capacitance matrix formalism; Cubic nonlinear Helmholtz equation; Soliton-like eigenmode
Organisational unit
09504 - Ammari, Habib / Ammari, Habib
Notes
Funding
200307 - Mathematics of dielectric artificial media (SNF)
Related publications and datasets
Is previous version of: