Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Xiao, Jingni"'
We consider the scattering of waves by a penetrable inclusion embedded in some reference medium. We exhibit examples of materials and geometries for which non-scattering frequencies exist, i.e., for which at some frequencies there are incident fields
Externí odkaz:
http://arxiv.org/abs/2406.17527
In this paper we examine necessary conditions for an anisotropic inhomogeneous medium to be non-scattering at a single wave number and for a single incident field. These conditions are expressed in terms of the regularity of the boundary of the inhom
Externí odkaz:
http://arxiv.org/abs/2208.13231
Autor:
Xiao, Jingni
We consider corner scattering for the operator $\nabla \cdot \gamma(x)\nabla +k^2\rho(x)$ in $\mathbb{R}^2$, with $\gamma$ a positive definite symmetric matrix and $\rho$ a positive scalar function. A corner is referred to one that is on the boundary
Externí odkaz:
http://arxiv.org/abs/2111.01857
Autor:
Cakoni, Fioralba, Xiao, Jingni
We consider the scattering problem governed by the Helmholtz equation with inhomogeneity in both `conductivity' in the divergence form and `potential' in the lower order term. The support of the inhomogeneity is assumed to contain a convex corner. We
Externí odkaz:
http://arxiv.org/abs/1905.02558
Publikováno v:
Analysis & PDE 14 (2021) 2207-2224
Let $\mathcal{K}^{r_0}_{x_0}$ be a (non-degenerate) truncated corner in $\mathbb{R}^3$ with $x_0\in\mathbb{R}^3$ being its apex, and $\mathbf{F}_j\in C^\alpha(\overline{\mathcal{K}^{r_0}_{x_0}}; \mathbb{C}^3)$, $j=1,2$, where $\alpha$ is the positive
Externí odkaz:
http://arxiv.org/abs/1901.00581
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Publikováno v:
East Asian Journal on Applied Mathematics, 2019
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under suitable geometric conditions on the boundary surface of the elastic i
Externí odkaz:
http://arxiv.org/abs/1808.03133
In this paper, we introduce an inverse problem of a Schr\"odinger type variable nonlocal elliptic operator $(-\nabla\cdot(A(x)\nabla))^{s}+q)$, for $0
Externí odkaz:
http://arxiv.org/abs/1708.00654
Autor:
Liu, Hongyu, Xiao, Jingni
This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM fields, excludi
Externí odkaz:
http://arxiv.org/abs/1611.04250
Akademický článek
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