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