“…5 For this reason, the electrical properties that influence signal propagation through these structures have been thoroughly studied using both, electromagnetic (EM) simulations, 6,7 and equivalent circuit representations. 8,9 However, in some cases, the corresponding analyses have been limited to represent a simple array of TSVs consisting of one signal via, and one or two ground vias serving as the return path 10 ; in others that include arrays with multiple ground vias, the model parameters are not extracted using S-parameters but using the dimensions and physical parameters of the TSVs, 11 while in others the S-parameters are used to extract only the equivalent circuit for the resistance and inductance of the TSVs. [12][13] Motivated by this, here, systematically performed 3D EM simulations allow to develop a parameter extraction strategy to implement an equivalent circuit model that can be concatenated to represent TSVs crossing a stack of several chips.…”