The E-plane T-junction in a rectangular waveguide is re-examined using the Fourier transform. The scattered fields are represented in continuous and discrete modes, and the boundary conditions are enforced to obtain simultaneous equations for the discrete modal coefficients. The residue calculas is utilized to represent the reflection and transmission coefficients in a rapidly convergent series. Our series solution skews an excellent agreement with other existing solutions. (C) 2000 John Wiley & Sons, Inc.