Alavikia Babak, Ramahi Omar M
Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, N2 L3G1, Canada.
J Opt Soc Am A Opt Image Sci Vis. 2010 Apr 1;27(4):815-26. doi: 10.1364/JOSAA.27.000815.
This work presents a novel finite-element solution to the problem of scattering from multiple two-dimensional holes with side grating in infinite metallic walls. The formulation is based on using the surface integral equation with free-space Green's function as the boundary constraint. The solution region is divided into interior regions containing each hole or cavity as a side grating and exterior region. The finite-element formulation is applied inside the interior regions to derive a linear system of equations associated with nodal field values. The surface integral equation is then applied at the opening of the holes as a boundary constraint to connect nodes on the boundaries to interior nodes. The technique presented here is highly efficient in terms of computing resources, versatile and accurate in comparison with previously published methods. The near and far fields are generated for different single and multiple hole examples.
本文提出了一种新颖的有限元解法，用于解决无限大金属壁中带有侧边光栅的多个二维孔洞的散射问题。该公式基于使用以自由空间格林函数作为边界约束的表面积分方程。求解区域分为包含每个带有侧边光栅的孔洞或腔体的内部区域以及外部区域。在内部区域应用有限元公式以推导与节点场值相关的线性方程组。然后将表面积分方程应用于孔洞的开口处作为边界约束，以将边界上的节点与内部节点连接起来。与先前发表的方法相比，本文提出的技术在计算资源方面效率极高，具有通用性且准确。针对不同的单孔和多孔示例生成了近场和远场。
