[图书][B] Mathematical and statistical methods for multistatic imaging

H Ammari, J Garnier, W Jing, H Kang, M Lim, K Sølna… - 2013 - Springer
In multistatic imaging one uses waves to probe for information about an unknown medium.
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …

[图书][B] Mathematical and computational methods in photonics and phononics

H Ammari, B Fitzpatrick, H Kang, M Ruiz, S Yu… - 2018 - books.google.com
The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

Surface plasmon resonance of nanoparticles and applications in imaging

H Ammari, Y Deng, P Millien - Archive for Rational Mechanics and …, 2016 - Springer
In this paper we provide a mathematical framework for localized plasmon resonance of
nanoparticles. Using layer potential techniques associated with the full Maxwell equations …

Mathematical analysis of plasmonic nanoparticles: the scalar case

H Ammari, P Millien, M Ruiz, H Zhang - Archive for Rational Mechanics …, 2017 - Springer
Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …

[HTML][HTML] Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations

H Ammari, M Ruiz, S Yu, H Zhang - Journal of Differential Equations, 2016 - Elsevier
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 …

Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

H Wang, Q Zhang, S Wang, CW Shu - Science China Mathematics, 2020 - Springer
In this paper, we discuss the local discontinuous Galerkin methods coupled with two specific
explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffusion …

On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model

Y Deng, J Li, H Liu - Archive for Rational Mechanics and Analysis, 2020 - Springer
This paper is a continuation and an extension of our recent work (Deng et al. in Arch Ration
Mech Anal 231 (1): 153–187, 2019) on the identification of magnetized anomalies using …

Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices

H Ammari, B Li, J Zou - Transactions of the American Mathematical Society, 2023 - ams.org
In this work, we are concerned with the mathematical modeling of the electromagnetic (EM)
scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices …

[HTML][HTML] On an inverse boundary problem arising in brain imaging

Y Deng, H Liu, G Uhlmann - Journal of Differential Equations, 2019 - Elsevier
We consider the inverse problem of recovering both an unknown electric current and the
surrounding electromagnetic parameters of a medium from boundary measurements. This …

Elastostatics within multi-layer metamaterial structures and an algebraic framework for polariton resonances

Y Deng, L Kong, H Liu, L Zhu - ESAIM: Mathematical Modelling …, 2024 - esaim-m2an.org
Multi-layer structures are ubiquitous in constructing metamaterial devices to realise various
frontier applications including super-resolution imaging and invisibility cloaking. In this …