The electromagnetic scattering problem by a cylindrical doubly-connected domain at oblique incidence: the direct problem
This is an incremental theoretical contribution for researchers in electromagnetic scattering theory, extending existing methods to a specific geometry.
The paper addresses the direct electromagnetic scattering problem for obliquely incident waves by a cylindrical doubly-connected domain, transforming it into a system of singular and hypersingular integral equations and proving well-posedness. No concrete numerical results are provided.
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.