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20242026
most citedTunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials

1 citations · 3 across the 11 of their papers we have counts for

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11 papers

math-ph2026

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…

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-ph2026

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…

physics.optics2025

Topological interface modes in aperiodic subwavelength resonator chains

Habib Ammari, Jiayu Qiu, Alexander Uhlmann

We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approxi…

math-ph2025

Uniform Hyperbolicity, Bandgaps and Edge Modes in Aperiodic Systems of Subwavelength Resonators

Habib Ammari, Clemens Thalhammer, Alexander Uhlmann

We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling fr…

math-ph2025

Competing edge and bulk localisation in non-reciprocal disordered systems

Habib Ammari, Silvio Barandun, Clemens Thalhammer +1

We investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imagina…

math-ph2025

Universal estimates for the density of states for aperiodic block subwavelength resonator systems

Habib Ammari, Silvio Barandun, Bryn Davies +2

We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…

cond-mat.dis-nn2024★ 1 cited

Subwavelength Localisation in Disordered Systems

Habib Ammari, Silvio Barandun, Alexander Uhlmann

We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonat…

math-ph2024

Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators

Habib Ammari, Silvio Barandun, Alexander Uhlmann

The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide f…

math-ph2024★ 1 cited

Generalised Brillouin Zone for Non-Reciprocal Systems

Habib Ammari, Silvio Barandun, Ping Liu +1

Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…

physics.optics2024★ 1 cited

Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials

Habib Ammari, Silvio Barandun, Ping Liu +1

The aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in a deep subwavelength regime. Consid…