Impact of Photonic Crystal Power/Ground Layer density on power integrity performance of high-speed power buses

Efficient Analysis of Power/Ground Planes Loaded With Dielectric Rods and Decoupling Capacitors by Extended Generalized Multiple Scattering Method

“…Fig. 6 shows a PCPL structure [14], which is formed by two rectangular plates whose dimensions are 62.5 mm × 100 mm and a dielectric thickness h = 0.8 mm. Forty high dielectric circular rods are embedded on the lossless dielectric substrate whose dielectric constant is 2.33.…”

“…All of the aforementioned discussions for special cases demonstrate the correctness of (19), which transforms the equivalent circuit of a decoupling capacitor to its transition coefficient of cylindrical harmonics. Therefore, the diagonal transition matrix in (5) can then be filled by (14) for dielectric rods and (19) for decoupling capacitors. Furthermore, the transition matrix of Q loaded ports of both dielectric rods and decoupling capacitors can be obtained as…”

“…(14) A decoupling capacitor is usually modeled as a lumped circuit used in circuit simulators. However, in order to incorporate a decoupling capacitor into the extended GMS method, the reflection coefficient of radial cylindrical harmonics needs to be derived first from the lumped circuit of a decoupling capacitor and the via-plate capacitance in its physics-based via model [2]- [4].…”