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RF / mmWave Specialist

Coplanar Waveguide Calculator

Design CPW, GCPW, and CBCPW transmission lines for RF, mmWave, and 5G applications. Calculate impedance, effective permittivity, and optimize geometry for frequencies up to 100+ GHz.

Bottom GND (GCPW)
Dielectric (H)
GND
G
SIG
G
GND
W
Via fence

GCPW (Grounded Coplanar Waveguide) Cross-Section

CPW Configuration Types

Choose the right CPW variant based on your frequency, isolation, and manufacturing requirements

Standard CPW

Signal with coplanar grounds only, no bottom ground plane

Advantages
  • Lowest parasitic capacitance
  • Best for flip-chip
  • Simple 2-layer design
Considerations
  • Higher radiation loss
  • Requires wide ground areas
  • Sensitive to ground width
Best For

Chip probing, flip-chip, simple RF

GCPW (Grounded)

CPW with bottom ground plane and stitching vias

Advantages
  • Low radiation loss
  • Better shielding
  • Consistent impedance
Considerations
  • Requires via stitching
  • More complex design
  • Via inductance at high freq
Best For

Most PCB RF designs, 5G, mmWave

CBCPW

Conductor-Backed CPW, bottom ground without top via stitching

Advantages
  • Better thermal path
  • Moderate shielding
  • Simpler than GCPW
Considerations
  • Parallel-plate mode risk
  • Less isolation than GCPW
Best For

Power amplifiers, thermal management

CPW Design Equations

CPW Characteristic Impedance

Z₀ = [30π / √εeff] × [K(k') / K(k)]
k = W / (W + 2G)
k' = √(1 - k²)
K(k) = complete elliptic integral of first kind

Simplified: Z₀ ≈ (60/√εeff) × ln(2(1+√k)/(1-√k)) for practical use

GCPW (with Bottom Ground)

Z₀_gcpw ≈ Z₀_cpw || Z₀_ms
GCPW = parallel combination of CPW and microstrip
Lower Z₀ than standard CPW
Dominated by smaller of W/H or W/G ratios

Rule of thumb: Z₀_gcpw ≈ 0.7 - 0.85 × Z₀_cpw

Effective Permittivity

Standard CPW
εeff ≈ (εr + 1) / 2
Symmetric air/substrate
GCPW
εeff → εr
Closer to substrate Dk
Propagation
~120-140 ps/in
Faster than stripline

CPW Applications

5G mmWave

28GHz, 39GHz, and 60GHz antenna feeds and transitions. GCPW provides low loss at mmWave.

Automotive Radar

77GHz ADAS radar systems using GCPW for antenna array feeds and power dividers.

RF IC Probing

On-wafer testing and flip-chip mounting. CPW provides excellent probe-pad transitions.

Transitions

CPW-to-microstrip, CPW-to-waveguide, and CPW-to-coax transitions for system integration.

CPW Design Guidelines

Via Fence Design (GCPW)

  • Via spacing: λg/10 or less

    At 28GHz with εr=3.5, λg ≈ 5.7mm → via pitch ≤ 0.57mm

  • Via distance from signal: ~2G to 3G

    Close enough for mode suppression, far enough to avoid field disturbance

  • Use smallest via diameter practical

    Reduces via inductance; 8-10mil diameter typical for mmWave

Geometry Recommendations

50Ω on FR-4 (εr = 4.0)
W = 10 mil, G = 5 mil, H = 10 mil
50Ω on Rogers 4350 (εr = 3.48)
W = 12 mil, G = 6 mil, H = 10 mil
50Ω on Rogers 3003 (εr = 3.0)
W = 15 mil, G = 7 mil, H = 10 mil

Always verify with field solver; these are starting points

Avoid Parallel-Plate Mode

In GCPW without via stitching, a parasitic parallel-plate mode can propagate between the coplanar ground and bottom ground, causing resonances and loss. Use via fences to short the grounds together and suppress this mode, especially above 10GHz.

CPW vs. Microstrip for RF Design

ParameterGCPWMicrostripNotes
Frequency RangeDC to 100+ GHzDC to ~40 GHzCPW scales better at mmWave
DispersionLowerHigherBetter pulse shape at high freq
Component MountingDirect (no via)Via to groundEasier SMT integration
Ground DefinitionLocal (coplanar)Requires viaBetter for RF transitions
Routing DensityLowerHigherCPW needs coplanar grounds
Design ComplexityHigherLowerVia fences required

Frequently Asked Questions

What is a coplanar waveguide (CPW)?

A coplanar waveguide is a transmission line where the signal trace and ground conductors are on the same layer, with the signal trace between two ground areas separated by gaps. It offers easy integration with surface-mount components and good performance at mmWave frequencies. The electric field is concentrated in the gaps.

What is the difference between CPW and GCPW?

Standard CPW has ground planes only on the signal layer (coplanar grounds). GCPW (Grounded CPW) adds a ground plane on the layer below, connected to the coplanar grounds via vias. GCPW provides better shielding, lower radiation losses, and more consistent impedance, making it preferred for most PCB applications.

When should I use CPW instead of microstrip?

CPW is preferred when: (1) operating above 10GHz where microstrip losses increase, (2) needing easy connection to surface-mount components without vias, (3) designing transitions between different transmission line types, (4) wanting reduced dispersion at high frequencies, or (5) requiring tight ground definition near signal traces.

How do I control CPW impedance?

CPW impedance is controlled by the ratio of signal width (W) to gap width (G): wider gaps or narrower signal = higher impedance. For GCPW, the substrate height (H) also matters: thinner substrate = lower impedance. Typical dimensions for 50Ω on FR-4: W=10mil, G=5mil, or adjust based on your substrate.

What are via fences in CPW design?

Via fences are rows of ground vias placed along both sides of a GCPW line, connecting the coplanar grounds to the bottom ground plane. They suppress parallel-plate modes, reduce crosstalk, and improve isolation. Space vias at λ/10 or closer for frequencies above 10GHz to prevent mode conversion.