Waveguide Design and Selection Rectangular Waveguide Informational

What is the attenuation per unit length of a rectangular waveguide in the dominant mode?

TE10 mode attenuation in rectangular waveguide: α = Rs/(a·b·β·k·η) × (2b·π²/a² + a·k²), where Rs = √(πfμ/σ) is the wall surface resistance, β is the propagation constant, k is the free-space wavenumber, and η is the intrinsic impedance. Simplified: α has a minimum near the geometric mean of the band (about 1.5×fc) and increases at both ends (approaching infinity at fc and increasing slowly toward 2fc). WR-90 at 10 GHz (copper): α ≈ 0.11 dB/m. WR-42 at 22 GHz: α ≈ 0.28 dB/m. WR-10 at 94 GHz: α ≈ 1.67 dB/m.
Category: Waveguide Design and Selection
Updated: April 2026

Waveguide Wall Loss

The attenuation of the TE10 mode arises from ohmic loss in the waveguide walls. Current flows on the inner surfaces of all four walls, and the finite conductivity of the metal converts some of this current to heat. The current distribution varies across the waveguide walls: maximum on the broad walls (top and bottom) at the center, and on the narrow walls (sides) at the top and bottom edges.

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

How does waveguide loss compare to coax?

At X-band (10 GHz): WR-90 waveguide ≈ 0.03 dB/ft vs 0.141-inch semi-rigid coax ≈ 0.35 dB/ft. The waveguide advantage is about 12× at X-band and increases at higher frequencies.

Does the wall material matter much?

The loss ratio between materials equals the square root of their resistivity ratio. Copper vs aluminum: ratio = √(2.65/1.68) = 1.26, so aluminum has 26% higher loss. Copper vs silver: ratio = √(1.68/1.59) = 1.03, so silver saves only 3%. The improvement from silver is small but matters for high-Q resonators and long transmission lines.

What about waveguide surface finish?

Standard machined waveguide surface finish (Ra = 0.8-1.6 μm) adds approximately 5-15% to the theoretical smooth-wall loss at X-band. At W-band (75-110 GHz), where the skin depth is 0.2-0.3 μm, surface finish becomes critical and can increase loss by 30-50%. Electroformed or electropolished waveguide provides the smoothest surface and lowest loss.

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