CAD Formulas Of RFIC Components On A Two-layer Substrate With Loss By Synthetic Asymptote

By synthetic asymptote, the topic of this thesis is to develop simple and accurate CAD formulas for application in practical radio frequency integrated circuits (RPIC) on grounded substrate of two layers with loss. In this thesis, Si is used as bottom substrate, the top substrate is SiO₂. The bottom substrate is high- impedance and the top substrate is lossless . With "bootstrapping", one can get CAD formulas from simple to more complicated and practical structures, such as from the formula of patch capacitor to that of square spiral inductors.In this thesis, CAD formulas are obtained by synthetic asymptote for three structures, First, we obtain the simple CAD formulas of a microstrip line on two-layer substrate with loss; and then, using the same process, the formulas are obtained for a patch capacitor on two-layer substrate with loss; finally, the CAD formulas of a square spiral inductor on two-layer substrate of with loss are obtained by synthetic asymptote and analytical moment method in bootstrapping manner, that means the formulas of a complicated structure can be obtained from those of simple structures.With a few arbitrary constant for every formula, the average errors are less than 2% for all the formulas in this thesis. Since the formulas are derived and not curve fitted, their range of validity can be large covering whole spans of almost all the parameters in the formulas. And the formulas are simple, accurate, and give good physical insights. The characteristics of these formulas are very useful for the design of practical RFIC circuits.