Closed-form expressions for the coupling capacitance of metal fill tiles in VLSI circuits

A new closed-form formula for the computation of the coupling capacitance of metal tiles is presented in this work. It exploits the analytical solution of the Laplace equations of equivalent studied problems. Comparative results are given with two commercial tools employing the boundary element method (BEM) and the finite element method (FEM). The results show that the capacitance value computed by the proposed formula is in close agreement to the value obtained by the simulators.