The electromagnetic scattering problem by a cylindrical doubly-connected domain at oblique incidence: the direct problem

TL;DR

This paper addresses the electromagnetic scattering problem involving a doubly-connected cylindrical domain under oblique incidence, proposing a hybrid integral equation method and analyzing its well-posedness.

Contribution

It introduces a hybrid integral equation approach for the direct scattering problem of a doubly-connected cylinder and proves its well-posedness.

Findings

Transform of the scattering problem into singular and hypersingular integral equations

Application of trigonometric polynomial approximations and collocation method for discretization

Establishment of well-posedness for the formulated integral equations

Abstract

We consider the direct electromagnetic scattering problem of time-harmonic obliquely incident waves by a infinitely long, homogeneous and doubly-connected cylinder in three dimensions. We apply a hybrid integral equation method (combination of the direct and indirect methods) and we transform the scattering problem to a system of singular and hypersingular integral equations. The well-posedness of the corresponding problem is proven. We use trigonometric polynomial approximations and we solve the system of the discretized integral operators by a collocation method.