TE10 mode scattering by a rectangular resistive film ofarbitrary dimensions placed along the rectangular waveguides axis

Transverse electric (TE)₁₀ mode scattering by a resistive film of arbitrary width (d) and length (l) placed in the longitudinal section of a rectangular waveguide parallel to its narrow faces is investigated. The vector integral equation for the discontinuity of the tangential magnetic field on the film is formulated. The equation is solved by the Galerkin method using basis functions, each of them taking into account the discontinuity behavior near the film edge. For a film that is sufficiently short (l≪d), approximate expressions for the scattering matrix elements are obtained. The scattering matrix for a wide range of values of the film width, length, surface impedance, and frequency is calculated