Fast computation of dyadic Green´s function for layered media and its application in interconnect simulations

Summary form only given. In order to solve layered-medium problems, such as interconnect simulations, various numerical methods have been developed. We are concerned with piecewise homogeneous objects embedded in a layered medium. The surface integral equation (SIE) can be used to reduce the number of unknowns required in the volume integral equation. For the solution of the SIE, we first develop a fast method to evaluate the Sommerfeld integrals in the dyadic Green´s function (GF) for a layered medium. Particular attention is paid to evaluate the GF when the source and observation points are on the same plane parallel to the layer interfaces. The primary and quasi-static field terms are subtracted from the integrand of the dyadic GF and their contribution is calculated analytically. This makes the integrand decay rapidly for large values of k_ρ. Since this is an exact method, the whole procedure is robust; the results of this method have been validated by comparison with many examples in the literature, and the high efficiency has been verified. We then apply this dyadic GF in the solution of surface integral equations arising from interconnect simulations.