128 citations · 1.2k across the 131 of their papers we have counts for
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Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
Habib Ammari, Matias Ruiz, Sanghyeon Yu +1
In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic r…
Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities
Habib Ammari, Jin Keun Seo, Tingting Zhang
We are aiming to identify the thin insulating inhomogeneities and small conductive inhomogeneities inside an electrically conducting medium by using multi-frequency electrical impe…
Phased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients
Habib Ammari, Yat Tin Chow, Jun Zou
In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coe…
Mathematical analysis of plasmonic nanoparticles: the scalar case
Habib Ammari, Pierre Millien, Matias Ruiz +1
Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident w…
Well-posedness of a Pulsed Electric Field Model in Biological Media and its Finite Element Approximation
Habib Ammari, Dehan Chen, Jun Zou
This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspen…
On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hongjie Dong, Hyeonbae Kang +1
We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain p…