The analytical formula of the via barrel-plate capacitance has been widely used for the analyses of signal integrity, power integrity and electromagnetic compatibility of via-plate-pair structures by way of a physics-based via circuit model. This formula involves an infinite summation which must be truncated in real calculation. An improper truncation could result in underestimated or even unphysical values. This paper extends our previous study to handle the situation where the outer boundary is PEC or PMC. A proper truncation scheme is proposed to address the above truncation issues. Its effectiveness is demonstrated by numerical cases.
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