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Electromagnetic scattering by two concentric spheres buried in a stratified material

机译:埋在分层材料中的两个同心球引起的电磁散射

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In this paper, a rigorous method to analyze the electromagnetic scattering of an elliptically polarized plane wave by two concentric spheres buried in a dielectric stratified medium is presented. The interaction of the electromagnetic radiation with the stratified material is taken into account by means of the transfer matrix approach, in this way we can consider the stratified medium as an effective single interface. All the electromagnetic fields are expanded in series of spherical vector harmonics. The transmitted field through the stratified medium is o btained by means of the effective transmission coefficient. This field is scattered by the two concentric spheres, and the scattered field interacts again with the stratified material. The scattered- reflected and scatteredtransmitted fields by the layered medium are computed by exploiting the plane-wave spectrum of the scattered field, considering the reflection and transmission of each elementary plane wave by the effective interface. The boundary conditions imposition on the spheres' surfaces leads to a linear system that returns the unknown coefficients of the problem. A numerical code has been implemented to compute the field over all the space. In order to compute the scattered fields, a truncation criterion has been proposed for the numerical evaluation of the series. Finally, to validate the presented method, comparisons between the results of the proposed code and the results of simulations with a software based on the finite element method have been implemented, showing very good agreement. (C) 2015 Optical Society of America
机译:本文提出了一种严格的方法来分析被掩埋在电介质分层介质中的两个同心球对椭圆偏振平面波的电磁散射。通过转移矩阵方法考虑了电磁辐射与分层材料的相互作用,通过这种方式,我们可以将分层介质视为有效的单一界面。所有电磁场都在一系列球矢量谐波中扩展。通过有效介质的透射率获得通过分层介质的透射场。该场被两个同心球散射,并且散射场再次与分层材料相互作用。考虑到有效界面对每个基本平面波的反射和透射,通过利用散射场的平面波谱来计算分层介质的散射反射和散射透射场。施加在球体表面上的边界条件导致一个线性系统,该线性系统返回问题的未知系数。已经实施了数字代码以计算所有空间上的场。为了计算散射场,已经提出了用于该系列的数值评估的截断准则。最后,为验证所提出的方法,对所提出的代码的结果与使用基于有限元方法的软件进行的仿真结果进行了比较,显示出很好的一致性。 (C)2015年美国眼镜学会

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