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Exploiting structure periodicity and symmetry in capacitance calculations for three dimensional multiconductor systems

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2 Author(s)
Wu, Ruey-Beei ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Wu, L.L.

The structure periodicity and symmetry usually encountered in the design and packaging of integrated circuits are utilized to 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 the use of a modified Green's function which circumvents the periodicity singularity. For structure 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 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

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:36 ,  Issue: 9 )