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We introduce a new method for the determination of the Generalized Admittance Matrix of a rectangular waveguide section loaded with a dielectric inset of arbitrary shape. A State Space -Integral Equation approach is applied which leads to the pole expansion of the admittance matrix in the s -domain. IntroductionAs illustrated in other works [1] [2], the State SpaceIntegral Equation (SS-IE) Method is quite efficient for the wideband modeling of passive waveguides and quasiplanar integrated circuits. The dimension of the statespace model obtained by this approach is much smaller than that obtained in other ways (e.g. FEM-based algorithms [4]). This means that model order reduction is not mandatory. Furthermore, the reduced computing time and the limited memory requirements make this method well suited for inclusion in efficient CAD tools. In [3] we introduced the application of the SS-IE method to the determination of the General Admittance Matrix (GAM) of a rectangular waveguide section including a homogeneous cylindric dielectric inset, in a simple 2D case. The extension to the 3D case, which is not trivial, is outlined in this paper.