[LIVRE][B] Mathematical and statistical methods for multistatic imaging
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 …
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …
[LIVRE][B] Mathematical and computational methods in photonics and phononics
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 …
sound propagation and interactions in complex structures, as well as its technological …
Surface plasmon resonance of nanoparticles and applications in imaging
In this paper we provide a mathematical framework for localized plasmon resonance of
nanoparticles. Using layer potential techniques associated with the full Maxwell equations …
nanoparticles. Using layer potential techniques associated with the full Maxwell equations …
Mathematical analysis of plasmonic nanoparticles: the scalar case
Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …
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
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 …
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
We survey functional analytic methods for studying subwavelength resonator systems. In
particular, rigorous discrete approximations of Helmholtz scattering problems are derived 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
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 …
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 …
electrostatic, magnetic, and elastic fields in composites with densely packed inclusions …
Gradient estimates for solutions of the Lamé system with partially infinite coefficients
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 …
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
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 …
dimensions greater than two - ScienceDirect Skip to main contentSkip to article Elsevier logo …