The importance of inductance and inductive coupling for on-chip wiring

Rationale and challenges for optical interconnects to electronic chips

“…Changing the current by 10 mA in 100 ps on such a wire results in an inductive voltage of 100 mV. Additionally, on medium and long lines, inductive crosstalk between lines can be important (see, e.g., [96]). There is also, of course, significant capacitive coupling and consequent crosstalk between adjacent lines on chips.…”

“…There has been considerable recent work, for example, by Deutsch et al [91]- [96] and others [97], examining the effects of inductance, skin effect, and transmission-line effects in wiring on chips. The analysis of on-chip repeatered electrical interconnects was discussed extensively by Bakoglu [98] for the case of lines.…”

Min/max on-chip inductance models and delay metrics

“…The partial self inductance along the segment is given by (1) where is the magnetic vector potential along segment due to the current in segment , which has a cross section . The partial mutual inductance , which relates the induced voltage drop along segment due to a change in the current along segment , is given by a similar expression (2) In (2), is the magnetic vector potential along segment due to the current in segment and segment has a cross section . The magnetic vector potential is defined as…”

“…With higher clocking frequencies and longer global interconnects to span the larger chip dimensions [1] [4], interconnects are sometimes designed and optimized such that inductance effects become evident [2]. The inclusion of inductance in the timing analyses, however, can be a substantial problem for the overall design flows and methodologies.…”

Piecewise linear model for transmission line with capacitive loading and ramp input

“…Inductance effects in on-chip interconnects becomes increasingly important with smaller transition time and lower wire resistance (as a result of copper interconnect), especially in global interconnects such as clock tree, power/ground network, and parallel buses [1]- [3]. Significant inductance causes prominent transmission line effects such as overshoot and undershoot.…”