Daniele Vito G, Lombardi Guido, Zich Rodolfo S
Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy.
Istituto Superiore Mario Boella, via P.C. Boggio 61, I-10138 Torino, Italy.
PLoS One. 2017 Aug 17;12(8):e0182763. doi: 10.1371/journal.pone.0182763. eCollection 2017.
Network modeling in electromagnetics is an effective technique in treating scattering problems by canonical and complex structures. Geometries constituted of angular regions (wedges) together with planar layers can now be approached with the Generalized Wiener-Hopf Technique supported by network representation in spectral domain. Even if the network representations in spectral planes are of great importance by themselves, the aim of this paper is to present a theoretical base and a general procedure for the formulation of complex scattering problems using network representation for the Generalized Wiener Hopf Technique starting basically from the wave equation. In particular while the spectral network representations are relatively well known for planar layers, the network modelling for an angular region requires a new theory that will be developed in this paper. With this theory we complete the formulation of a network methodology whose effectiveness is demonstrated by the application to a complex scattering problem with practical solutions given in terms of GTD/UTD diffraction coefficients and total far fields for engineering applications. The methodology can be applied to other physics fields.
电磁学中的网络建模是一种通过规范和复杂结构来处理散射问题的有效技术。由角形区域（楔形体）和平面层构成的几何结构现在可以通过谱域网络表示所支持的广义维纳 - 霍普夫技术来处理。即使谱平面中的网络表示本身非常重要，但本文的目的是从波动方程出发，为使用广义维纳 - 霍普夫技术的网络表示来求解复杂散射问题提供一个理论基础和通用程序。特别是，虽然谱网络表示对于平面层相对比较熟知，但角形区域的网络建模需要本文将开发的一种新理论。借助该理论，我们完成了一种网络方法的公式化，其有效性通过应用于一个复杂散射问题得到了证明，该问题给出了针对工程应用的基于几何绕射理论（GTD）/一致性绕射理论（UTD）衍射系数和总远场的实际解决方案。该方法可应用于其他物理领域。
