Dilz Roeland J, van Kraaij Mark G M M, van Beurden Martijn C
1Eindhoven University of Technology/EE, PO box 513, 5600 MB Eindhoven, The Netherlands.
2ASML, De Run 6501, 5504 DR Veldhoven, The Netherlands.
Opt Quantum Electron. 2018;50(5):206. doi: 10.1007/s11082-018-1471-7. Epub 2018 Apr 19.
The generalization of a two-dimensional spatial spectral volume integral equation to a three-dimensional spatial spectral integral equation formulation for electromagnetic scattering from dielectric objects in a stratified dielectric medium is explained. In the spectral domain, the Green function, contrast current density, and scattered electric field are represented on a complex integration manifold that evades the poles and branch cuts that are present in the Green function. In the spatial domain, the field-material interactions are reformulated by a normal-vector field approach, which obeys the Li factorization rules. Numerical evidence is shown that the computation time of this method scales as on the number of unknowns. The accuracy of the method for three numerical examples is compared to a finite element method reference.
解释了将二维空间谱体积积分方程推广到三维空间谱积分方程公式，用于分层介质中介质物体电磁散射的情况。在谱域中，格林函数、对比度电流密度和散射电场在一个复积分流形上表示，该流形避开了格林函数中存在的极点和分支切割。在空间域中，通过一种服从李分解规则的法向矢量场方法重新表述场与材料的相互作用。给出了数值证据，表明该方法的计算时间与未知数的数量成 比例。将该方法对三个数值例子的精度与有限元方法参考进行了比较。
