What is the effect of PCB via inductance on millimeter wave circuit performance?
Via Inductance at mmWave
At millimeter-wave frequencies, the via is not just a simple connection between layers; it is a complex electromagnetic structure that must be designed as carefully as any other circuit element.
| Parameter | Option A | Option B | Option C |
|---|---|---|---|
| Performance | High | Medium | Low |
| Cost | High | Low | Medium |
| Complexity | High | Low | Medium |
| Bandwidth | Narrow | Wide | Moderate |
| Typical Use | Lab/military | Consumer | Industrial |
Technical Considerations
(1) The via is modeled as a short section of coaxial transmission line: the via barrel is the center conductor, and the antipad (cleared area in the ground plane) forms the outer conductor. The characteristic impedance of this mini-coax: Z_via = (60/sqrt(epsilon_r)) × ln(D_antipad/D_via). For D_antipad = 0.6 mm, D_via = 0.3 mm (pad), epsilon_r = 4.2 (FR-4): Z_via = (60/2.05) × ln(2) = 29.3 × 0.693 = 20.3 ohms. This is much lower than the 50-ohm trace, creating a capacitive discontinuity (the via looks like a shunt capacitor). (2) The via also has series inductance from the barrel: L_via ≈ (mu_0/(2×pi)) × h × (ln(D_antipad/D_barrel) + 0.25). For h = 0.2 mm (2-layer transition), D_antipad = 0.6 mm, D_barrel = 0.2 mm: L = 0.2e-9 × 0.2 × (ln(3) + 0.25) = 0.04 × 1.35 = 0.054 nH. At 28 GHz: Z_L = 9.5 ohms. At 77 GHz: Z_L = 26 ohms. (3) The pad capacitance: C_pad = epsilon_0 × epsilon_r × pi × (D_pad² - D_drill²) / (4 × h). For D_pad = 0.4 mm, D_drill = 0.2 mm, h = 0.1 mm (prepreg thickness above one ground plane), epsilon_r = 4.2: C = 8.85e-12 × 4.2 × pi × (0.16e-6 - 0.04e-6) / (4 × 0.1e-3) = 8.85e-12 × 4.2 × 3.14 × 0.12e-6 / 4e-4 = 0.035 pF. At 28 GHz: Z_C = 1/(2×pi×28e9×0.035e-12) = 163 ohms. The pad capacitance effect is moderate at 28 GHz but significant at 77 GHz (Z_C = 59 ohms). (4) SRF: f_SRF = 1/(2×pi×sqrt(0.054e-9 × 0.035e-12)) = 116 GHz. Well above the operating frequency; the via is not resonant. But for longer vias (through-hole, L = 0.7 nH) with larger pads (C = 0.1 pF): f_SRF = 19 GHz. This is within the 5G band.
Performance Analysis
(1) Via diameter and antipad optimization: increase the antipad diameter: reduces the via capacitance (Z_via increases). The via looks less capacitive and more like 50 ohms. Optimal antipad for 50-ohm via: D_antipad ≈ D_via × e^(50×sqrt(epsilon_r)/60) = 0.3 × e^(50×2.05/60) = 0.3 × e^(1.71) = 0.3 × 5.53 = 1.66 mm. This is a large antipad (1.66 mm diameter clearance in the ground plane). The large clearance disrupts the ground plane, potentially causing other problems. Compromise: use a 0.8-1.0 mm antipad (Z_via = 30-40 ohms) and accept some mismatch. (2) Compensating structures: add a small pad or stub on the via exit to provide inductance that compensates the via capacitance, creating a matched transition. The compensation pad dimensions are determined by 3D EM simulation. This is standard practice in mmWave PCB design. (3) Avoid through-hole vias for mmWave signals: use blind or buried microvias that only transition between adjacent layers. The short via (0.05-0.1 mm) has minimal inductance (< 0.05 nH) and negligible effect even at 77 GHz.
- Performance verification: confirm specifications against the application requirements before finalizing the design
- Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
- Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
Design Guidelines
When evaluating the effect of pcb via inductance on millimeter wave circuit performance?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.
Frequently Asked Questions
Can I use standard through-hole vias at 28 GHz?
Only with great care: (1) For signal vias: a standard through-hole via in a 1.6 mm board (L ≈ 0.7 nH) is problematic at 28 GHz (Z = 123 ohms). The via must be backdrilled to remove the stub, and the antipad must be optimized by EM simulation. Even with optimization: the insertion loss per via transition is 0.3-0.8 dB at 28 GHz (significant in a system with multiple transitions). (2) For ground and power vias: through-hole ground vias are acceptable (the low impedance of the via is actually beneficial for grounding; you want the ground connection to be as low-impedance as possible). Multiple parallel ground vias: even better (lower total inductance). (3) Best practice at 28 GHz: use blind microvias for all signal transitions. Use through-hole vias only for ground stitching and power connections. Backdrill any through-hole vias that must carry signals.
How many vias in parallel to reduce inductance?
The inductance of N parallel vias: L_total ≈ L_single / N × (1 + (N-1)×M/L_single), where M is the mutual inductance between vias. For vias spaced > 3× their length apart: M is small and L_total ≈ L_single / N. For closely spaced vias (< 1× length): M ≈ 0.3-0.5 × L_single. L_total ≈ L_single / N × (1 + (N-1) × 0.4) = L_single × (0.4 + 0.6/N). For N = 2: L_total ≈ 0.7 × L_single (30% reduction, not 50%). For N = 4: L_total ≈ 0.55 × L_single. For N = 8: L_total ≈ 0.48 × L_single. Diminishing returns above 4-6 parallel vias due to mutual inductance. For ground vias: use 4-6 parallel vias for the best practical inductance reduction.
What about coaxial via structures?
A coaxial via: a signal via surrounded by a ring of ground vias, forming a coaxial transmission line through the PCB stack-up. The ground via ring creates a controlled-impedance environment around the signal via. Design: signal via: centered. Ground vias: 6-8 vias in a ring at a radius that provides the desired impedance: Z = (60/sqrt(epsilon_r)) × ln(R_ring/R_signal). For 50 ohms on FR-4: R_ring / R_signal ≈ 5.5. If the signal via pad = 0.4 mm diameter (R = 0.2 mm): R_ring = 1.1 mm (ground vias at 1.1 mm radius = 2.2 mm diameter ring). The coaxial via provides: 50-ohm impedance through the transition (matched), excellent shielding (the ground ring isolates the signal via from adjacent circuits), and predictable, simulatable performance. Used in: mmWave PCB designs, high-speed backplanes, and precision RF interconnects. The trade-off: the coaxial via structure consumes significant PCB area (2.2 mm diameter per signal transition).