RUEY-BEEI WUL. L. Wu2018-09-102018-09-101988-0900189480http://scholars.lib.ntu.edu.tw/handle/123456789/342474https://www.scopus.com/inward/record.uri?eid=2-s2.0-0024070796&doi=10.1109%2f22.3677&partnerID=40&md5=f18447678102ffdd468ff99b81ab1219The 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 IEEEELECTRIC MEASUREMENTS -- Capacitance; MATHEMATICAL TECHNIQUES -- Integral Equations; CAPACITANCE CALCULATIONS; INTEGRAL EQUATION METHOD (IEM); MODIFIED GREEN'S FUNCTION; PERIODIC STRUCTURES; THREE-DIMENSIONAL MULTICONDUCTOR SYSTEMS; INTEGRATED CIRCUITSjournal article10.1109/22.36772-s2.0-0024070796WOS:A1988P706100002