Efficient Characterization of Interconnects with Arbitrary Polygonal
Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators
- Dries Vande Ginste
Abstract
A novel technique to accurately characterize interconnects with general,
piecewise homogeneous material parameters and arbitrary polygonal
cross-sections is presented. To compute the per-unit-of-length complex
inductance and capacitance matrices of the considered structures, we
apply a boundary integral equation framework, invoking a
Dirichlet-to-Neumann formalism to recast the problem at hand. The
pertinent operators are constructed by means of the numerically fast
Fokas method. Numerical examples of various multiconductor transmission
lines demonstrate that our proposed scheme is flexible and precise.
Since our method is not limited to rectangular cross-sections,
manufacturing effects such as etching can also be taken into account.
Moreover, the examples are not restricted to RLGC-data as we also
consider signal attenuation, slow-wave factors and cross-talk.