Characterizing my first attempt at copper-only passives
moroso.emarhavil.com
moroso.emarhavil.com
One day while complaining on IRC someone suggested I let the VNA warm up before doing the calibration routine. I'd just been doing it right after turning it on because naturally, that's what was required first. I waited 15 minutes and then did the calibration. Suddenly the S11 plots actually matched the behavior and I could compare directly against the sonnet fullwave sim design instead of just "it seems to work".
There are applications where this can be useful, though. Especially when PCB production quirks can be more repeatable than component soldering, which can be affected by ambient temperature, humidity, solder paste age, and a bunch of other factors.
A PCB stackup has multiple layers of metal with dielectric material sandwiched between them. In a 6+-layer PCB, it might be reasonable to have multiple power and ground planes (sheets of copper) at a close spacing. If you refer back to your electronic component geometries, we can see this as a parallel-plate capacitor.
Say your plane spacing is 0.2mm (2x10e-4 m) and your dielectric constant is ~4. That would make the planes a capacitor with value ~1.6x10e-14F/mm^2 or ~0.16 pF/mm^2. That may not seem like much, but it means the capacitance under a 1cm^2 chip is 16pF, and the impedance at 100 MHz is ~100Ω. Because the chip can then have very short (sub-mm) vias as its entire trace to power, the inductance is also very low.
This is a good resource for a deeper dive: https://docs.amd.com/r/en-US/ug583-ultrascale-pcb-design/Pla...
Resistors: https://www.righto.com/2022/01/silicon-die-teardown-look-ins...
Capacitors: https://www.righto.com/2018/06/silicon-die-analysis-op-amp-w...