Scattering of electromagnetic waves by rough interfaces and inhomogeneous layers
Scattering of electromagnetic waves by rough interfaces and inhomogeneous layers
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DOI：
10.1137/s0036141097328932
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发表时间：
1999-03
影响因子：
2
通讯作者：
S. Chandler-Wilde;Bo Zhang
中科院分区：
文献类型：
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作者：
S. Chandler-Wilde;Bo Zhang
本文研究了二维时谐电磁平面波在半无限均匀介质半空间界面处被无限非均匀导电或介质层散射的问题。磁导率被假定为一个固定的正常数。介质的材料性质完全由折射率表征，折射率是层中有界的可测量函数，并且在层上方和下方取正的常数值，对应于均匀电介质。在本文中，我们只研究横向磁（TM）极化的情况下。引入了一个适用于无限粗糙面散射的辐射条件，它是衍射光栅瑞利展开条件的推广。借助于辐射条件，将问题转化为边界积分方程和区域积分方程的等价混合系统，该系统由层上和层间的第二类积分方程组成。
We consider a two-dimensional problem of scattering of a time-harmonic electromagnetic plane wave by an infinite inhomogeneous conducting or dielectric layer at the interface between semi-infinite homogeneous dielectric half-spaces. The magnetic permeability is assumed to be a fixed positive constant. The material properties of the media are characterized completely by an index of refraction, which is a bounded measurable function in the layer and takes positive constant values above and below the layer, corresponding to the homogeneous dielectric media. In this paper, we examine only the transverse magnetic (TM) polarization case. A radiation condition appropriate for scattering by infinite rough surfaces is introduced, a generalization of the Rayleigh expansion condition for diffraction gratings. With the help of the radiation condition the problem is reformulated as an equivalent mixed system of boundary and domain integral equations, consisting of second-kind integral equations over the layer and inte...