Skip to Main content Skip to Navigation

Mathematical analysis of plasmonics resonances for nanoparticles and applications

Abstract : This thesis deals with the mathematical study of the interactions between light and certain types of nanoparticles. At the nanometer scale, metal particles such as gold or silver undergo a resonance phenomenon when their free electrons interact with an electromagnetic field. This interaction results in an enhancement of the near and far electric field, enabling them to improve the brightness and the directivity of the light, confining electromagnetic fields in advantageous directions. This phenomenon, called "plasmonic resonances for nanoparticles", opens a door to a wide range of applications, from new medical imaging techniques to efficient solar panels. Using layer potentials techniques and perturbation theory, we proposea study of the scattering of electromagnetic waves by one and several plasmonic nanoparticles in the quasi-static, Helmholtz and Maxwell framework. We then study some applications such as heat generation, metasurfaces and super-resolution.
Document type :
Complete list of metadatas
Contributor : Abes Star :  Contact
Submitted on : Monday, July 2, 2018 - 5:13:06 PM
Last modification on : Wednesday, October 14, 2020 - 4:12:40 AM
Long-term archiving on: : Monday, October 1, 2018 - 7:04:52 AM


Version validated by the jury (STAR)


  • HAL Id : tel-01827839, version 1



Matias Ruiz. Mathematical analysis of plasmonics resonances for nanoparticles and applications. Plasmas. Université Paris sciences et lettres, 2017. English. ⟨NNT : 2017PSLEE054⟩. ⟨tel-01827839⟩



Record views


Files downloads