activity
20122021
most citedStress concentration for two nearly touching circular holes

11 citations · 13 across the 7 of their papers we have counts for

collaborators

20 papers

math.AP2021

Bound states in the continuum and Fano resonances in subwavelength resonator arrays

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2

When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be exci…

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

Quantitative estimates for stress concentration of the Stokes flow between adjacent circular cylinders

Habib Ammari, Hyeonbae Kang, Do Wan Kim +1

When two inclusions with high contrast material properties are located close to each other in a homogeneous medium, stress may become arbitrarily large in the narrow region between…

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…