Rectangular Waveguide Calculator (Cutoff Frequency)

Cutoff frequency, guide wavelength, phase/group velocity and wave impedance of a TEₘₙ or TMₘₙ mode in a rectangular waveguide.

Results

Cutoff frequency fc—
Propagation—
Cutoff wavelength—
Guide wavelength λg—
Phase velocity—
Group velocity—
Wave impedance—
Single-mode (TE₁₀) band—

How to use the Rectangular Waveguide Calculator

  1. Enter or select: Broad wall a, Narrow wall b, Mode type, Mode index m, Mode index n, Operating frequency.
  2. The results (Cutoff frequency fc, Propagation, Cutoff wavelength, Guide wavelength λg, Phase velocity, Group velocity, Wave impedance, Single-mode (TE₁₀) band) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • f_c = (c/2)·√((m/a)² + (n/b)²)
  • λ_g = λ/√(1 − (f_c/f)²)
  • Z_TE = η/√(1 − (f_c/f)²), Z_TM = η√(1 − (f_c/f)²)
ExpressionApply operationsCalculated result

About this tool

Defaults are the standard WR-90 (X-band) guide.