  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.
