Mathematical modelling of plasmonic strain sensors
Analysis of PDEs
2020-03-06 v1 Mathematical Physics
math.MP
Abstract
We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmission condition, which exhibits resonances depending on the inter-particle distance. When the microcapsule is deformed, the resonances are shifted. We fully characterise the dependence of these resonances on the deformation of the microcapsule, enabling the detection of strains at the microscale level. We present numerical simulations to validate our results.
Keywords
Cite
@article{arxiv.2003.02787,
title = {Mathematical modelling of plasmonic strain sensors},
author = {Habib Ammari and Pierre Millien and Alice L. Vanel},
journal= {arXiv preprint arXiv:2003.02787},
year = {2020}
}
Comments
11 pages, 3 figures