3 citations · 9 across the 23 of their papers we have counts for
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Frequency-dependent capacitance matrix formulation for Fabry--Pérot resonances. Part II: One-dimensional periodic media
Habib Ammari, Bowen Li, Ping Liu +1
We study Bloch resonances of one-dimensional periodic systems of high-contrast resonators beyond the subwavelength regime. An exact transfer-matrix formulation identifies the limit…
Topological properties and a multiplicative Bloch-Floquet-Zak transform for scattering by self-similar or fractal media
Habib Ammari, Yat Tin Chow, Fuqun Han
We develop the first rigorous topological framework for an auxiliary boundary-integral model motivated by physical scaling identities for wave scattering from self-similar or fract…
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 mod…
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…
A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line Defects
Habib Ammari, Erik Orvehed Hiltunen, Ping Liu +2
In this paper, we develop a framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physic…