Scattering by a lossy dielectric cylinder in a waveguide cross-junction

Reflection and Transmission From a Thin Inhomogeneous Cylinder in a Rectangular Te10 Waveguide

“…Here and elsewhere a prime on ρ is used to denote its derivative with respect to s. The electric field is written as the sum of imposed and scattered contributions E = E i + E s as in (6). The imposed field satisfies equation (22) with N 2 set to unity everywhere, i.e., it satisfies the Helmholtz equation (∇ 2 + k 2 )E i = 0, and the scattered field is written in terms of its polar components E s = (e r , e θ , e s ).…”

“…A survey of classical techniques and results is given in [1] and more recent studies based on mode-matching methods have appeared in, for example, references [2] to [6]. Some of these results are for a cylinder that is perfectly conducting and others are for a more general lossy dielectric target, but in all cases the electrical properties are taken to be constant in the direction along the cylinder's axis and the axis has a specific orientation that is either parallel or perpendicular to the irradiating field.…”