Electromagnetic Scattering by Unbounded Rough Surfaces
Electromagnetic Scattering by Unbounded Rough Surfaces
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DOI：
10.1137/100806217
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
Peijun Li;Haijun Wu;Weiying Zheng
中科院分区：
文献类型：
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作者：
Peijun Li;Haijun Wu;Weiying Zheng
本文主要研究具有无限粗糙表面的非均匀介质中的电磁波散射分析。考虑由磁偶极子或电偶极子入射到无限粗糙表面上产生的时谐电磁场。假定介电常数具有正虚部，这说明了能量吸收。散射问题被建模为由麦克斯韦方程控制的边值问题，并在其间不均匀的平面上提出透明边界条件。使用变分方法确定模型问题弱解的存在性和唯一性。研究了完美匹配层（PML）方法，以在远离粗糙表面的方向上截断无界粗糙表面电磁散射问题。结果表明，截断 PML 问题具有唯一解。在 sc 的解之间给出了显式误差估计...
This paper is concerned with the analysis of electromagnetic wave scattering in inhomogeneous medium with infinite rough surfaces. Consider a time-harmonic electromagnetic field generated by either a magnetic dipole or an electric dipole incident on an infinite rough surface. The dielectric permittivity is assumed to have a positive imaginary part which accounts for the energy absorption. The scattering problem is modeled as a boundary value problem governed by the Maxwell equations, with transparent boundary conditions proposed on plane surfaces with inhomogeneity in between. The existence and uniqueness of the weak solution for the model problem are established by using a variational approach. The perfectly matched layer (PML) method is investigated to truncate the unbounded rough surface electromagnetic scattering problem in the direction away from the rough surfaces. It is shown that the truncated PML problem attains a unique solution. An explicit error estimate is given between the solution of the sc...