15 papers
Finite-Sum Realization of Archimedean Asai and Exterior-Square -Factors
Yeongseong Jo, Akash Yadav
We prove that the archimedean Asai -factor attached to an irreducible generic representation of can be expressed as a finite sum of Flicker loc…
Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain
Habib Ammari, Silvo Barandun, Jiayu Qiu +1
Spectral and transport properties of high-contrast resonator systems can be described in the subwavelength regime in terms of the so-called capacitance operator. In this paper, we…
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…
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…
Non-Hermitian Fabry-Pérot Resonances
Habib Ammari, Erik Orvehed Hiltunen, Bowen Li +4
We characterise non-Hermitian Fabry-Pérot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential mo…
A Real-Space Formulation of the Zak Phase via Weyl m-Functions
Habib Ammari, Clemens Thalhammer
We establish a new, real-space formula for the Zak phase for one dimensional periodic Jacobi operators in terms of the Weyl -function that does not rely on Floquet-Bloch theor…