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20122026
most citedStress concentration for two nearly touching circular holes

11 citations · 13 across the 8 of their papers we have counts for

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20 papers · 1 filter

math.AP2026

Spectral theory of plasmonic resonances in the nonlocal regime

Hyundae Lee, Matias Ruiz, Sanghyeon Yu

We present a rigorous spectral analysis of plasmonic resonances in the nonlocal regime of spatially dispersive media. We adopt the quasi-static approximation of the hydrodynamic Dr…

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…