The Electromagnetic Field for a PEC Wedge Over a Grounded Dielectric Slab: 1. Formulation and Validation
| Autor: | Vito Daniele, Rodolfo Zich, Guido Lombardi |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Diffraction
Electromagnetic field Scattering Mathematical analysis Electromagnetic compatibility 020206 networking & telecommunications Near and far field Geometry 02 engineering and technology Condensed Matter Physics 01 natural sciences Integral equation Wedge (geometry) Wiener–Hopf method symbols.namesake 0103 physical sciences 0202 electrical engineering electronic engineering information engineering symbols General Earth and Planetary Sciences Electrical and Electronic Engineering 010306 general physics Mathematics |
| Zdroj: | Radio Science. 52:1472-1491 |
| ISSN: | 0048-6604 |
| DOI: | 10.1002/2017rs006355 |
| Popis: | Complex scattering problems are often made by composite structures where wedges and penetrable substrates may interact at near field. In this paper (Part I) together with its companion paper (Part II) we study the canonical problem constituted of a Perfectly Electrically Conducting (PEC) wedge lying on a grounded dielectric slab with a comprehensive mathematical model based on the application of the Generalized Wiener-Hopf Technique (GWHT) with the help of equivalent circuital representations for linear homogenous regions (angular and layered region). The proposed procedure is valid for the general case and the papers focus on E-polarization. The solution is obtained using analytical and semi-analytical approaches that reduce the Wiener-Hopf factorization to integral equations. Several numerical test cases validate the proposed method. The scope of Part I is to present the method and its validation applied to the problem. The companion paper Part II focuses on the properties of the solution and it presents physical and engineering insights as GTD/UTD diffraction coefficients, total far fields, modal fields and excitation of surface and leaky waves for different kinds of source. The structure is of interest in antenna technologies and electromagnetic compatibility (tip on a substrate with guiding and antenna properties). |
| Databáze: | OpenAIRE |
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