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math.AP2026
Nonlinear Modal Reduction for Subwavelength Dielectric Scattering
Habib Ammari, Ioan Gorea, Bowen Li
We study three-dimensional wave scattering by high-index dielectric resonators with Kerr-type nonlinearity under plane-wave incidence, together with the associated nonlinear dielec…
math.AP2026
Nonlinear subwavelength resonances and bound states in the continuum in metascreens
Habib Ammari, Yu Gao
This paper establishes a mathematical framework for nonlinear subwavelength resonances and bound states in the continuum (BIC) in an acoustic metascreen with a cubic Kerr nonlinear…
math.AP2025
Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity
Habib Ammari, Bowen Li
This work establishes a rigorous mathematical framework for the analysis of nonlinear dielectric resonances in wave scattering by high-index resonators with Kerr-type nonlinearitie…