Scattering of Electromagnetic Waves by Thin Dielectric Planar Structures
Scattering of Electromagnetic Waves by Thin Dielectric Planar Structures
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DOI：
10.1137/040618382
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发表时间：
2006-12
期刊：
影响因子：
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通讯作者：
H. Ammari;Hyeonbae Kang;F. Santosa
中科院分区：
文献类型：
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作者：
H. Ammari;Hyeonbae Kang;F. Santosa
研究了薄介质平面结构对电磁波的散射问题。如果散射体的折射率的平方尺度为1/h$，其中h是结构的厚度，我们表明，散射问题的近似解可以通过微扰方法获得。近似解由零阶项和一阶校正项两项组成，这两项都可以通过求解3-D问题的2-D积分方程得到。我们提供的近似误差估计。因此，在这项工作中描述的方法可以被视为一种计算方法，可以大大简化散射计算的问题，涉及薄散射体。
The problem of scattering of electromagnetic waves by a thin dielectric planar structure is considered. If the squared index of refraction of the scatterer scales as $1/h$, where h is the thickness of the structure, we show that an approximate solution to the scattering problem can be obtained by a perturbation method. The approximate solution consists of two terms, the zeroth order term and the first order corrector, both of which can be found by solving 2‐D integral equations for 3‐D problems. We provide error estimates for the approximation. Therefore, the method described in this work can be viewed as a computational approach which can potentially greatly simplify scattering calculations for problems involving thin scatterers.