[图书][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 …
[图书][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 …
[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 …
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
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 …
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 …
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
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 …
scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices …
[HTML][HTML] On an inverse boundary problem arising in brain imaging
We consider the inverse problem of recovering both an unknown electric current and the
surrounding electromagnetic parameters of a medium from boundary measurements. This …
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 …
frontier applications including super-resolution imaging and invisibility cloaking. In this …