activity
20012023
most citedSurface Plasmon Resonance of Nanoparticles and Applications in Imaging

128 citations · 1.2k across the 131 of their papers we have counts for

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Showing 2020 · math.APShow all

12 papers · 2 filters

math.AP2020★ 24 cited

Time-dependent high-contrast subwavelength resonators

Habib Ammari, Erik Orvehed Hiltunen

In the field of metamaterials, many intriguing phenomena arise from having a structure which is periodic in space. In time-dependent structures, conceptually similar properties can…

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★ 6 cited

Edge modes in active systems of subwavelength resonators

Habib Ammari, Erik Orvehed Hiltunen

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we s…

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

Mathematical modelling of plasmonic strain sensors

Habib Ammari, Pierre Millien, Alice L. Vanel

We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmissi…