Exact Closed Form Formula for Partial Mutual Inductances of On-Chip Interconnects

  • Authors:
  • Affiliations:
  • Venue:
  • ICCD '02 Proceedings of the 2002 IEEE International Conference on Computer Design: VLSI in Computers and Processors (ICCD'02)
  • Year:
  • 2002

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Abstract

In this paper, we propose a new exact closed form mutual inductance equation for on-chip interconnects. We express the mutual inductance between two parallel rectangular conductors as a weighted sum of self-inductances. We do not place any restrictions on the alignment of the two parallel rectangular conductors. Moreover, they could be co-planar or reside on different layers. Most important, experimental results show that our formula is numerically more stable than that derived in [2] for long parallel on-chip interconnects.