10 citations · 14 across the 8 of their papers we have counts for
8 papers
On plasmon modes in multi-layer structures
Xiaoping Fang, Youjun Deng
In this paper, we consider the plasmon resonance in multi-layer structures. The conductivity problem associated with uniformly distributed background field is considered. We show t…
Gradient estimates for electric fields with multi-scale inclusions in the quasi-static regime
Youjun Deng, Xiaoping Fang, Hongyu Liu
In this paper, we are concerned with the gradient estimate of the electric field due to two nearly touching dielectric inclusions, which is a central topic in the theory of composi…
Sharp estimate of electric field from a conductive rod and application
Xiaoping Fang, Youjun Deng, Hongyu Liu
We are concerned with the quantitative study of the electric field perturbation due to the presence of an inhomogeneous conductive rod embedded in a homogenous conductivity. We sha…
Asymptotic behavior of spectral of Neumann-Poincare operator in Helmhotz system
Xiaoping Fang, Youjun Deng, Xiaohong Chen
In this paper, we are concerned with the asymptotic behavior of the Neumann-Poincare operator for Helmholtz system. By analyzing the asymptotic behavior of spherical Bessel functio…
Numerical implementation for reconstruction of inhomogeneous conductivities via Generalized Polarization Tensors
Xiaoping Fang, Youjun Deng
This paper deals with numerical methods for reconstruction of inhomogeneous conductivities. We use the concept of Generalized Polarization Tensors, which were introduced in [3], to…
Plasmon resonance and heat generation model in nanostructures
Xiaoping Fang, Youjun Deng, Jing Li
In this paper, we investigate the photothermal effects of the plasmon resonance. Metal nanoparticles efficiently generate heat in the presence of electromagnetic radiation. The pro…
Explicit calculation of strong solution on linear parabolic equation
Xiaoping Fang, Youjun Deng, Jing Li
In this paper, we give the existence and uniqueness of the strong solution of one dimensional linear parabolic equation with mixed boundary conditions. The boundary conditions can…
Numerical methods for reconstruction of source term of heat equation from the final overdetermination
Xiaoping Fang, Youjun Deng, Jing Li
This paper deals with the numerical methods for the reconstruction of source term in linear parabolic equation from final overdetermination. We assume that the source term has the…