ABSTRACT

In the computational methodology, each shorting via is viewed as an inclusion that disturbs the circuit from its referential operation in the absence of vias. The corresponding solution procedure consists of two steps. In the first one, a time-convolution integral equation of the first kind is formulated using the relevant Time Domain compensation theorem. The second step can be viewed as a mere calculation of the impact of via inclusions. This step is readily carried out, with the electriccurrent pulses at our disposal, using the compensation theorem, again. It has been explicitly shown that the system of equations is readily solvable in an updating step-by-step manner with the aid of the standard trapezoidal rule. Under the assumption that the diameter of via structures is small, with respect to the spatial support of the excitation pulse, the integral equation is cast into a system of time-convolution integral equations that is subsequently solved with the aid of the standard trapezoidal rule.