Study of printed circuit board power-bus design with a circuit extraction technique based on a quasi-static MPIE/MOM formulation

A circuit extraction technique is developed based on a quasi-static mixed potential integral equation (MPIE) and method of moment (MOM) using triangular meshing. The usages of the triangular vector basis function and mesh generation are demonstrated by the related classical procedure of the electric field integral equation (EFIE). The Green's functions in a general multilayered medium are computed employing the generalized pencil-of-function (GPOF) technique. A meshing constraint due to the quasi-static approximation is established to guide adequate modeling, yet without committing excessive computational resources. The circuit extraction procedure is applied to the analysis of simultaneous switching noise in an arbitrary-shaped PCB power bus in a multilayered PCB. Several design issues regarding power-bus decoupling strategy are investigated with different layer spacings and relative permittivities.