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Rectangular waveguide cutoff calculator

Estimate dominant-mode cutoff and guide wavelength for a rectangular waveguide.

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Your result

TE10 cutoff frequency6.56GHz
Guide wavelength0.04m

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How to calculate

Estimate dominant-mode cutoff and guide wavelength for a rectangular waveguide.

TE10 cutoff frequency = c/(2*a/1000)/1e9 GHz
Guide wavelength = c/(f*1e9*sqrt(1-(c/(2*a/1000)/(f*1e9))^2)) m

Worked example

  • Broad internal dimension (mm): 22.86
  • Wave speed in filling medium (m/s): 299792458
  • Operating frequency (GHz): 10
  • TE10 cutoff frequency: 6.56 GHz
  • Guide wavelength: 0.04 m

Assumptions and limits

This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Assumes ideal conducting walls and a homogeneous filling medium; other-mode limits and attenuation are not calculated.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Estimate dominant-mode cutoff and guide wavelength for a rectangular waveguide. Operation must be above TE10 cutoff. This does not establish single-mode bandwidth or a compliant RF design.

When this tool is useful

Operation must be above TE10 cutoff. This does not establish single-mode bandwidth or a compliant RF design.

Understanding your inputs

InputExample
Broad internal dimension (mm) a22.86
Wave speed in filling medium (m/s) c299792458
Operating frequency (GHz) f10

Frequently asked questions

Which assumptions matter for this result?

This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Assumes ideal conducting walls and a homogeneous filling medium; other-mode limits and attenuation are not calculated.

How can I check the worked example?

Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.