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by Vernon L. Chi
ftp://ftp.cs.unc.edu/pub/publications/techreports/96-050.ps.Z
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Abstract:

PCSIM is a finite element (FE) field solver for Maxwell's equations constrained to the transverse electro-magnetic (TEM) propagation of sinusoidal waves between adjacent conducting planes of a circuit board. Both conductor and dielectric losses are accounted for, including skin effect in the conductors. PCSIM is one of a suite of utilities including a mesh generator which provides a minimal simulation environment for studying the 2D properties of salphasic clock propagation. While PCSIM itself addresses a number of bookkeeping and computational details outside the scope of this report, it seemed appropriate to document its physical and mathematical basis, particularly so that other 2D FE programs can be utilized as they become available. In this report, the voltage wave equation is derived from Maxwell's equations, along with a FE formulation of this equation.

Citations

20 Transmission Lines for Digital and Communications Networks – Matick - 1969
16 Salphasic distribution of clock signals for synchronous systems – Chi - 1994
1 Finite Elements, an Introduction – al - 1981
1 High-Order Polynomial Triangular Finite Elements for Potential Problems – Silvester - 1969
1 Planar Circuits, Waveguide Models, and Segmentation Method – Sorrentino - 1985