Gaussian Beam Propagators Scattering by a Fast Moving PEC Wedge

We are concerned with the scattering of 3-D Gaussian beam propagators from a perfectly electric conductor wedge in uniform translation. The incident Gaussian beam propagators are the building blocks of the phase-space beam summation method, which is a general framework for analyzing the propagation and scattering of waves. In this article, we use the asymptotic plane wave (PW) scattering from a moving wedge. By applying asymptotic analysis to the PW decomposition of the incident fields, we obtain the closed-form expressions for the wave potentials and the corresponding time-dependent electromagnetic vector operators. The asymptotic scattered potentials consist of relativistic reflected, shadowing, and diffraction waves. These waves are investigated and parameterized to include the velocity-dependent features and wave phenomena corresponding to the wedge speed. Numerical examples are included.

I. Introduction

Canonical problems of electromagnetic (EM) scattering have been a subject of continuous research over several decades. Solutions to canonical problems enable the understanding of basic and complex wave phenomena and to establish canonical generalized models for wave propagation and scattering in the high-frequency (large scatterers) regime. Canonical problems vary in the scatterer shape (such as half-plane, wedge, and cylinders), materials (such as perfectly electric conductor (PEC), dielectric, and metamaterials), and in the incident waveobjects that include plane waves (PWs), Green’s functions, or Gaussian beams. The importance of Gaussian beam scattering arises from the different phase-space decomposition methods that use Gaussian beam propagators (GBPs) as the building block for the field expansion [1]–[6]. Scattering and propagation of GBPs were obtained for a wide class of canonical problems [7]–[19], though the large majority of such canonical problems address the scattering of stationary scatterers, and only a limited number of papers addressing scattering are from moving objects (see examples in [20]).