The per-unit-length capacitance matrix of flaring VLSI packaging interconnections

A three-dimensional capacitance calculator was used for the accurate calculation of the per-unit-length (PUL) capacitance matrix of flaring, multiple, coupled microstrip, and stripline interconnections. Properly constructed Green's functions that satisfy the boundary conditions at dielectric interfaces were implemented in order to minimize the number of unknowns involved in the numerical solution. Under the assumption that the longitudinal components of the electric and magnetic fields are negligible compared to the transverse ones, the PUL inductance matrix was found from the inverse of the capacitance matrix calculated from the same conductor geometry in a uniform dielectric medium