Modeling and high frequency characterization of short links for high performance integrated circuits. Experimental validation and CAD formulas

Abstract

This study investigates the computing of the inductance of short links (gold wires connections). The [L] matrix calculations are performed with the potential vector given in an integral form, taking into account the current density distribution on the conductors. The Partial Element Equivalent Circuit method (PEEC) is used for this calculation. Analytical formulas easy to use in CAD are derived from the numerical results using a least square method. The formulas have been shown a very good agreement, with a precision in the order of 4%, with simulation results and with experimental results obtained on test boards in the frequency range 1 - 30 GHz.