Ab-initio Electrodynamic Modeling of On-Chip Back-End Structures
The geometrical structure of electrodynamics is reviewed following the analogy with gravity. It is found that the vector potentials that represent magnetic fields can be identified as connections. As a consequence, these potentials should be assigned to the links of discretization grids. A ghost field is introduced to guarantee numerical stability in the solution scheme of solving electromagnetic field problems for interconnects and on-chip passives.
KeywordsGauge Theory Vector Potential Parallel Transport Local Frame Discretization Grid
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- Walker M.G. Modeling the wiring of deep submicron IC. IEEE Spectrum 2000; March edition.Google Scholar
- Wilson K. Confinement of Quarks. Phys. Rev. 1974; D10: 2445–2459Google Scholar
- Weyl H. Gravitation und Elektrizität, Sitzungberichte der Königlich-Preussischen Akademie der Wissenschaften. 1918; 26: 465–480Google Scholar
- Meuris P., Schoenmaker W., Magnus W. Strategy for Electromagnetic Interconnect Modeling. IEEE Trans. on CAD 2000; Vol. 20 No. 6Google Scholar