Analysis of shielded lossy multilayered-substrate microstrip discontinuities

The spatial Green´s function for a rectangular cavity partially filled with multiple layers of lossy dielectrics has been derived. The Green´s function is used to compute the fields around a discontinuity in a transmission line. To analyze a discontinuity, the unknown surface current maintained on the microstrip discontinuity is expanded in terms of known suitable basis functions. The electric-field components in the plane of the discontinuity region are then written in terms of this current. Imposing the boundary condition that the component of the electric-field tangential to the metallization is zero yields the electric-field integral equation (EFIE). The method of moments is applied to the EFIE to obtain a system of linear equations. The resultant semianalytical expressions were used to conduct accurate modeling of a variety of structures. The validity and accuracy of this method are established through comparison with other published results. Convergence considerations are outlined and verified