Tutorial

RF Matching Design at 24 GHz K-Band

Impedance matching design at 24 GHz K-band: transition from lumped to distributed elements, RT/Duroid 5880 substrate design, microstrip stub synthesis, and verification with RF View simulation.

Why 24 GHz Is Different

At 24 GHz, standard 0402 SMD components (L, C) have self-resonant frequencies of 4–12 GHz — far below operating frequency. Lumped elements are unusable for matching at 24 GHz. Distributed (microstrip) elements are the only practical approach.

Substrate Selection for 24 GHz

SubstrateLoss at 24 GHz (100mm)Trace Width for 50Ω
FR4 (H=0.5mm)~15 dB (unusable)0.92 mm
Rogers RO4003C (H=0.254mm)~4 dB0.44 mm
RT/Duroid 5880 (H=0.127mm)~1.5 dB0.38 mm

Microstrip Matching at 24 GHz (RT/Duroid 5880)

  Device output impedance at 24 GHz: Z_out = 15 + j10 Ω (from S22)
  λg at 24 GHz on RT5880 (εe=1.88): λg = c/(24GHz×√1.88) = 9.12 mm
  
  Single-stub match:
  Distance d: on Smith chart, move from z=0.3+j0.2 to where Re(y)=1
  d ≈ 0.08λg = 0.73 mm
  Open stub length l: cancel susceptance at distance d
  l ≈ 0.20λg = 1.82 mm
  
  Both traces: 50Ω microstrip (W=0.38mm for H=0.127mm Duroid 5880)
  PCB tolerance: ±0.025mm → at 24 GHz this shifts frequency by ~3%

RF View 24 GHz Simulation

  1. Load 24 GHz MMIC .s2p as DUT block
  2. Add Microstrip T-line: W=0.38mm, L=0.73mm, εr=2.20, H=0.127mm
  3. Add open stub shunt T-line: W=0.38mm, L=1.82mm (open at far end)
  4. Simulate → S11 at 24 GHz should show <−10 dB
RF View 24 GHz: Circuit Simulator microstrip T-line element supports 24 GHz design on RT/Duroid 5880. Microstrip Calculator provides W and λ/4 dimensions. Free on Android.

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