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In high-speed printed circuit board (PCB) designs, vias play a critical role in determining signal and power integrity. This paper uses disk resonators to investigate modeling approaches for common via array structures. Boundary integral equation (BIE) and effective dielectric medium approaches are used for a perforated disk resonator with non-plated holes, using dielectric properties derived from...
In this paper, a closed-form expression for the impedance of an infinitely large parallel plane pair is presented. It is applicable to practical printed circuit board (PCB) design problems where there are multiple shorting vias around the signal vias of interest. With the presence of multiple shorting vias, reflections from the plane pair edges can be neglected since the shorting vias prevent the...
Parallel plate modes are excited by the magnetic frill currents in the via holes (anti-pads). These modes are expressed as cylindrical waves. Multiple scattering of these modes among vias as well as from the edge boundaries of the plate pair are rigorously considered with the addition theorem of the cylindrical waves. An admittance matrix is derived for the via ports at the top/bottom surfaces of...
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