Method of Moments for 2D Scattering Problems —— Basic Concepts and Applications

----- 2D的散射问题用矩量法 / 基础概念与应用

ISBN: 9781848214729 出版年：2013 页码：162 Christophe Bourlier Nicolas Pinel Wiley

In this book, the method of moments (MoM) is addressed to compute the field scattered by scatterers such as canonical objects (cylinder or plate) or a randomly rough surface, and also by an object above or below a random rough surface. Because the problem is considered two-dimensional (2D), the integral equations (IEs) are scalar and only the transverse electric (TE) and transverse magnetic (TM) polarizations are considered (no cross polarizations occur). Chapter 1 analyzes how the MoM with the point matching method and pulse basic functions is applied to convert the IEs into a linear system. In addition, chapter 1 presents the statistical parameters necessary to generate Gaussian random rough surfaces. Chapter 2 compares the MoM with the exact solution of the field scattered by a circular cylinder in free space, and with the physical optics (PO) approximation for the scattering from a plate in free space. Chapter 3 presents numerical results, obtained from the MoM combined with the efficient E-PILE method, of the scattering from two illuminated scatterers and how the E-PILE algorithm can be hybridized with asymptotic or rigorous methods valid for the scattering from a single scatterer(alone). Chapter 4 presents the same results as in Chapter 3 but for an object above a random rough surface or for a coated (circular or elliptical) cylinder. In the last two chapters, the coupling between the two scatterers is also studied in detail by inverting the impedance matrix by blocks.