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.
How to use the Rectangular Waveguide Calculator
- Enter or select: Broad wall a, Narrow wall b, Mode type, Mode index m, Mode index n, Operating frequency.
- 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.
- 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)
About this tool
Defaults are the standard WR-90 (X-band) guide.