Waveguide Design and Selection Circular and Other Waveguide Types Informational

How do I calculate the attenuation of the TE01 mode in circular waveguide?

The TE01 mode in circular waveguide has a unique property: its attenuation decreases continuously with increasing frequency, approaching zero for a perfect conductor. This occurs because the TE01 wall currents flow entirely in the circumferential direction, and as frequency increases, the field distribution concentrates toward the waveguide center, reducing the current density at the lossy walls. Attenuation formula: α = Rs/(aη0) × (fc/f)²/√(1-(fc/f)²), where Rs is the wall surface resistance, a is the radius, and fc = 3.8318c/(2πa). At 60 GHz in oversized copper circular waveguide, TE01 attenuation can be as low as 1-2 dB/km.
Category: Waveguide Design and Selection
Updated: April 2026
Product Tie-In: Waveguide, Horn Antennas, OMTs

TE01 Low-Loss Mode

The TE01 mode has a field distribution where the electric field is entirely azimuthal (circumferential) with no longitudinal or radial component at the wall. The wall currents that maintain this field distribution also flow entirely in the circumferential direction. As frequency increases above the TE01 cutoff, the field concentrates toward the center of the waveguide, and progressively less current flows on the wall. This causes the remarkable behavior of decreasing loss with increasing frequency.

ParameterStandard Rect.RidgedCircular
Single-Mode BW40% (1.25-1.9 fc)50-150%26% (1.31:1 ratio)
AttenuationLowModerate (3-5x)Low to very low
Power HandlingHigh (kW-class)ModerateHigh
PolarizationSingleSingleDual (TE11)
CostLow (commodity)MediumHigh (specialty)
  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
Common Questions

Frequently Asked Questions

Why is the TE01 mode not used more widely?

Three reasons: (1) it requires overmoded waveguide where many modes can propagate, making mode purity difficult to maintain; (2) optical fiber provides even lower loss with much simpler handling; (3) the 2-inch diameter waveguide is bulky and expensive. However, TE01 waveguide is still used in high-power applications where fiber cannot handle the power levels.

How do mode filters work?

Mode filters selectively attenuate unwanted modes while passing the TE01 mode. A common design uses a helically wound wire structure inside the waveguide. The TE01 mode (with circumferential currents only) does not interact with the helix, but other modes (with longitudinal current components) are absorbed by the lossy helix. This provides 20-30 dB suppression of unwanted modes with less than 0.5 dB TE01 loss.

What is the minimum waveguide diameter for a given frequency?

The TE01 cutoff requires a/λ > 0.61. For practical operation with reasonable attenuation: a/λ > 2 (highly overmoded). At 60 GHz (λ = 5mm): minimum practical diameter ≈ 20mm (a = 10mm). Larger diameters provide lower loss but support more modes, increasing the challenge of mode purity.

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