activity
20192026
most citedTopologically protected edge modes in one-dimensional chains of subwavelength resonators

59 citations · 178 across the 34 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.AP2020★ 1 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★ 2 cited

Asymptotic links between signal processing, acoustic metamaterials and biology

Habib Ammari, Bryn Davies

Biomimicry is a powerful science that takes advantage of nature's remarkable ability to devise innovative solutions to challenging problems. In this work, we use asymptotic methods…

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

Robust edge modes in dislocated systems of subwavelength resonators

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen

Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that eig…

math.AP2020★ 21 cited

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…