Accurate CAD formulas of passive components in integrated circuits, from a bootstrapped fuzzy EM series

摘要

Started with a physics-based fuzzy formulation, the Fuzzy EM does a rigorous derivation, built-in with one or two arbitrary constants, and leads to an accurate CAD formula of a practical circuit component. Bootstrapping means that the CAD formula resulted is in turn taken as fuzzy formulation leading to the CAD formula of a more complicated component. In succession, a bootstrapping series is formed giving the field theoretic formulas of many of the passive components of an integrated circuit. The components in this paper are the fundamental overlaid capacitor C, the effect perforated ground for multiplayer circuit, the spiral inductor L and the resistor R under all frequencies, from DC to RF. Because of the “mid-course correction” of one arbitrary constant in each step, the accuracies of the formulas are maintained at around 2%.