Analysis of a waveguide T-junction with a 2D scatterer in the interaction region via Green´s theorem approach

A rigorous method for solving 2D scattering by a PEC obstacle of arbitrary cross-section shape within an interaction region of waveguide T-junction is presented. The method extends the conventional Green´s theorem approach by using the weight functions, which satisfy not only the wave equation but also the boundary conditions on the scatterer´s boundary. Sample results for a rectangular metal insert are presented. The procedure developed is useful for the optimization of waveguide joints.