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

H Ammari, J Garnier, W **g, 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 …

[LIVRE][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 …

Optimal gradient estimates of solutions to the insulated conductivity problem in dimension greater than two

H Dong, YY Li, Z Yang - Journal of the European Mathematical Society, 2024 - ems.press
We study the insulated conductivity problem with inclusions embedded in a bounded
domain in Rn. The gradient of solutions may blow up as", the distance between inclusions …

Functional analytic methods for discrete approximations of subwavelength resonator systems

H Ammari, B Davies, E Orvehed Hiltunen - Pure and Applied Analysis, 2024 - msp.org
We survey functional analytic methods for studying subwavelength resonator systems. In
particular, rigorous discrete approximations of Helmholtz scattering problems are derived in …

[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 …

Second derivative estimates and gradient asymptotics for closely located inclusions in linear elasticity

H Li, L Xu - SIAM Journal on Mathematical Analysis, 2025 - SIAM
A long-standing area in materials science is to study the concentration phenomenon of
electrostatic, magnetic, and elastic fields in composites with densely packed inclusions …

Gradient estimates for solutions of the Lamé system with partially infinite coefficients

JG Bao, HG Li, YY Li - Archive for Rational Mechanics and Analysis, 2015 - Springer
Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients Page 1
Digital Object Identifier (DOI) 10.1007/s00205-014-0779-0 Arch. Rational Mech. Anal. 215 …

[HTML][HTML] Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two

JG Bao, HG Li, YY Li - Advances in Mathematics, 2017 - Elsevier
Gradient estimates for solutions of the Lamé system with partially infinite coefficients in
dimensions greater than two - ScienceDirect Skip to main contentSkip to article Elsevier logo …