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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
Space-Time Wave Localisation in Systems of Subwavelength Resonators
Habib Ammari, Erik Orvehed Hiltunen, Liora Rueff
In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assum…