A novel technique to identify the equivalent permittivity of inhomogeneous interconnect based on the monotonicity property

The present work provides an innovative technique based on the Monotonicity Property, initially proposed for EM imaging. The monotonicity holds between the electrical permittivity and (i) the matrices associated to the propagation parameters of the inhomogeneous interconnect; and (ii) the capacitance matrix. The result of the procedure is the identification of two uniform values for the equivalent permittivity: these two values establish two bounds, in the sense that the performance of the original inhomogeneous system is bounded by the performances of the two homogeneous systems corresponding to the two constant values of the permittivity given by the identification procedure.