Transmission Line Inset Feed Calculator

Design accurate inset-fed microstrip patch antennas with impedance matching, substrate analysis, tolerance checks, visual geometry, sensitivity sweeps, and fabrication-ready engineering results instantly online today.

Calculation Mode

Ω
Common values are 25, 50, and 75 Ω.

Operating Parameters

degrees

Substrate Properties

Conductor Properties

S/m

Patch Dimensions

Inset Feed Geometry

Ω
Used directly in reverse mode.

Tolerance and Sweep Settings

% of L
% of L

Formula Used

W = c / (2f) × √(2 / (εr + 1))
εeff = (εr + 1)/2 + (εr − 1)/2 × (1 + 12h/W)−1/2
ΔL = 0.412h × ((εeff + 0.3)(W/h + 0.264)) / ((εeff − 0.258)(W/h + 0.8))
L = c / (2f√εeff) − 2ΔL
Rin(y₀) = Redge × cos²(πy₀/L)
y₀ = (L/π) × cos−1(√(ZT/Redge))

Closed-form equations provide a practical starting point. Inset gaps and discontinuities change final impedance. Verify critical designs with electromagnetic simulation.

How to Use

  1. Select a complete, inset-only, feed-line, or reverse mode.
  2. Enter frequency, target impedance, and preferred dimension unit.
  3. Select a substrate preset or provide custom material values.
  4. Choose automatic or manual patch dimensions.
  5. Select an edge-resistance method and enter feed geometry.
  6. Set fabrication resolution, tolerance, and sensitivity sweep limits.
  7. Submit the form and review warnings before fabrication.
  8. Export results as CSV, PDF, CAD notes, or print output.

Example Data

ParameterExample valuePurpose
Frequency2.45 GHzCommon wireless design frequency
Target impedance50 ΩStandard RF feed impedance
SubstrateFR-4Low-cost prototype material
Relative permittivity4.4Controls electrical dimensions
Substrate thickness1.6 mmAffects bandwidth and feed width
Loss tangent0.02Estimates dielectric attenuation
Copper thickness0.035 mmTypical one-ounce copper

Substrate Comparison

MaterialTypical εrTypical loss tangentGeneral use
FR-44.40.020Low-cost prototypes
RO4003C3.550.0027Low-loss RF boards
RO4350B3.480.0037Microwave circuits
RT/duroid 58802.200.0009High-performance antennas
RT/duroid 601010.20.0023Compact microwave designs
Alumina9.80.0001High-stability ceramic circuits

Frequently Asked Questions

What does inset depth control?

Inset depth controls the patch feed-point resistance. Moving inward usually lowers resistance. The centre approaches a current maximum.

Why is fifty ohms commonly selected?

Many RF systems use fifty-ohm sources and cables. Matching reduces reflected power. It also simplifies testing.

Can I enter simulated edge resistance?

Yes. Select the simulation-derived method. Enter the simulated edge resistance value.

Why can the inset equation fail?

The target resistance cannot exceed edge resistance. That condition makes the square-root ratio invalid. Use another matching method.

Does inset gap width matter?

Yes. The gap introduces discontinuity capacitance. Narrow gaps can shift the best match.

Are the calculated dimensions final?

No. They are analytical starting dimensions. Full-wave simulation should refine critical designs.

What does fabrication rounding show?

It rounds inset depth to your manufacturing resolution. The calculator then recomputes resistance. This reveals practical matching error.

Why include conductor roughness?

Rough copper increases high-frequency conductor loss. The estimate applies a roughness correction. Real laminates may differ.

What does the sensitivity sweep show?

It shows resistance across multiple inset positions. The curve reveals matching sensitivity. Use it for tolerance planning.

Can this calculate an offset feed?

The offset field supports geometry validation. The simple resistance equation assumes centred feeding. Offset feeds need stronger simulation.

How accurate is the loss estimate?

It is a first-order engineering estimate. Connector and radiation losses are excluded. Measurement provides the final answer.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.