Sub-nH inductor modeling for RFIC design

This letter presents the modeling of sub-nH radial patterned ground shield circular inductors fabricated in a silicon bipolar technology for radio frequency applications. Based on both electromagnetic simulations and experimental measurements, the well-known current sheet expression for circular spirals is revised and modified to improve its accuracy at lower inductance values. The proposed expression is also extended to inductors with polygonal geometries showing significant improvements with respect to the state-of-the-art. Finally, the original and modified expressions are employed in a lumped scalable model for silicon spiral inductors. Comparisons with measured data revealed that the modified expression allows error reductions as large as 20% with respect to the original one, on both inductance and quality factor simulations.