Showing math.APShow all
3 papers · 1 filter
math.AP2026
Frequency-dependent capacitance matrix formulation for Fabry-Perot resonances in two and three dimensional systems
Habib Ammari, Bowen Li, Ping Liu +2
We study scattering resonances of finite and infinite periodic two- and three-dimensional systems of high-contrast resonators beyond the subwavelength regime. At each fixed admissi…
math.AP2026
Frequency-dependent capacitance matrix formulation for Fabry-Pérot resonances. Part I: One-dimensional finite systems
Habib Ammari, Bowen Li, Ping Liu +1
We study scattering resonances of finite one-dimensional systems of high-contrast resonators beyond the subwavelength regime. Introducing a novel tridiagonal frequency-dependent ca…
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…