A full-wave analysis of an inhomogeneous waveguide region with both planar
and circular cylindrical boundaries is presented in this paper. Circular cy
lindrical modal functions are used to represent the fields. Field matching
on the planar walls and apertures is rigorously achieved by the finite plan
e-wave series expansion of each modal field, whereas the addition theorem f
or cylindrical waves is used for rigorous field matching on the circular cy
lindrical boundaries. Numerical results are given for rectangular waveguide
s with 90 degrees bends and rounded outer corners.