Research interests
Modal expansions for plasmonic resonators
Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations, H Ammari, P Millien, AL Vanel, Journal of Differential Equations (2021) [Link]
Modal approximation for plasmonic resonators in the time domain: the scalar case, L Baldassari, P Millien, AL Vanel, Partial Differ. Equ. Appl. (2021) [Link]
Plasmonic nanostructures
Using spectral theory of integral operators to fully characterise the transmission properties of a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule.
Mathematical modelling of plasmonic strain sensors, H Ammari, P Millien, AL Vanel, JIIP (2020) [Link]
Super-localisation Microscopy
Use the resonance properties of metallic nanoparticles to achieve super-localisation of a fluorescent molecule. The plasmonic particle serves as a near-field excitation source for the molecule placed near it.
Superlocalisation of a point-like emitter in a resonant environment: correction of the mirage effect, L Baldassari, P Millien, AL Vanel, IPI (2022) [Link]
Wave control
Applying high frequency homogenisation techniques to periodic arrays of resonators to guide mechanical waves and build a focusing lens.
Asymptotics of dynamic lattice Green’s functions, AL Vanel, RV Craster, DJ Colquitt, M Makwana, Wave Motion (2016) [Link]
Acoustic flat lensing using an indefinite medium, M Dubois, Julien Perchoux, AL Vanel, Clément Tronche, Y Achaoui, G Dupont, K Bertling, AD Rakić, T Antonakakis, S Enoch, R Abdeddaim, RV Craster, S Guenneau, Physical Review B (2019) [Link]
Metamaterials
Using asymptotic analysis to model metamaterials