Nd. Arora et al., MODELING AND EXTRACTION OF INTERCONNECT CAPACITANCES FOR MULTILAYER VLSI CIRCUITS, IEEE transactions on computer-aided design of integrated circuits and systems, 15(1), 1996, pp. 58-67
We report an accurate and practical method of estimating interconnect
capacitances for a given circuit layout. The method allows extraction
of the complete circuit level capacitances at each node in the circuit
. The layout geometry is reduced into base elements that consist of di
fferent vertical profiles at each node in the layout. Accurate analyti
cal models are developed for calculating capacitances of multilayer st
ructures using a 2-D capacitance simulator TDTL. These models are then
transformed into 3-D geometry. The resulting model capacitance values
are found to be within 10% of both the measured data and 3-D simulati
ons of structures that are prevalent in a typical VLSI chips. The mode
ls and their coefficients for different vertical profiles are stored i
n the capacitance extraction tool CUP, which is coupled to the layout
extractor HILEX. As each base element has a unique vertical profile, t
he corresponding capacitance can easily be calculated for each node th
at is then written out to a circuit netlist. The comparisons of the mo
dels with the measured data, as well as 3-D simulations results, are a
lso discussed.