Electric dyadic Green´s functions for applications to shielded multilayered transmission line problems

Spatial-domain electric dyadic Green´s functions are presented for application to the full-wave analysis of printed transmission line circuits in a shielded environment. The original technique is proposed for the derivation of the electric-type Green´s dyadics based on the electric field integral equation formulation for multilayered media. The components of the Green´s dyadics are obtained in the form of series expansions over the complete set of eigenfunctions of the Helmholtz operator with one dimension in the direction normal to the stratification Green´s functions as unknown coefficients. For these functions, analytically simple and uniform expressions are obtained with numerical coefficients calculated from a matrix equation composed for the multilayered structure. The electric dyadic Green´s functions are derived for an arbitrary oriented electric current source and they can be effectively applied for the analysis of various planar and vertical interconnections. Convergence of the dyadic components is studied analytically numerically for the specific example of shielded two-layered structure