Exploiting structure periodicity and symmetry in capacitance calculations for three-dimensional multiconductor systems
Journal
IEEE Transactions on Microwave Theory and Techniques
Journal Volume
36
Journal Issue
9
Pages
1311-1318
Date Issued
1988-09
Author(s)
L. L. Wu
Abstract
The structure periodicity and symmetry usually encountered in the design and packaging of integrated circuits are utilized to dramatically alleviate the computation cost in the capacitance calculations for three-dimensional multiconductor systems by the integral equation method. For periodic structures, the region of unknowns is reduced to the base period by employing a modified Green’s function which circumvents the periodicity singularity. For the structures with s orthogonal planes of symmetry, where s — 1, 2, or 3, the region of unknowns is reduced to 1 /2s of the original whole space by the help of even- and odd-mode decomposition techniques. Both algorithms are embedded into a general three-dimensional capacitance calculation program by which a numerical calculation for the via capacitance in a multilayer ceramic environment is presented and compared with the experimental measurements. © 1988 IEEE
Other Subjects
ELECTRIC MEASUREMENTS -- Capacitance; MATHEMATICAL TECHNIQUES -- Integral Equations; CAPACITANCE CALCULATIONS; INTEGRAL EQUATION METHOD (IEM); MODIFIED GREEN'S FUNCTION; PERIODIC STRUCTURES; THREE-DIMENSIONAL MULTICONDUCTOR SYSTEMS; INTEGRATED CIRCUITS
Type
journal article