most citedWave interaction with subwavelength resonators

1 citations · 1 across the 2 of their papers we have counts for

collaborators

7 papers

math.AP20201 cited

Wave interaction with subwavelength resonators

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2

The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials…

math.AP2020

High-order exceptional points and enhanced sensing in subwavelength resonator arrays

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2

Systems exhibiting degeneracies known as exceptional points have remarkable properties with powerful applications, particularly in sensor design. These degeneracies are formed when…

math.AP2020

Exceptional points in parity-time-symmetric subwavelength metamaterials

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2

When sources of energy gain and loss are introduced to a wave-scattering system, the underlying mathematical formulation will be non-Hermitian. This paves the way for the existence…

math.AP2020

Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up

Habib Ammari, Bryn Davies, Sanghyeon Yu

In this paper, we study the behaviour of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of sph…

math.AP2019

Topologically protected edge modes in one-dimensional chains of subwavelength resonators

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +1

The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their…

math.AP2019

Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators

Habib Ammari, Bryn Davies

We present a design for an acoustic metamaterial that mimics the behaviour of the active cochlea. This material is composed of a size-graded array of cylindrical subwavelength reso…