Link Budget and System Architecture Free Space and Propagation Informational

What is the knife edge diffraction model and when do I use it for path loss estimation?

The knife-edge diffraction model estimates signal loss when the line-of-sight path is blocked by a single sharp obstruction (hill, building edge, wall). The additional loss beyond free-space is calculated from the Fresnel-Kirchhoff diffraction parameter: ν = h × √(2(d₁+d₂)/(λd₁d₂)), where h is the clearance height (negative if blocked), d₁ and d₂ are distances to the obstruction from each antenna. Diffraction loss: ν ≤ -1 (well clear): loss ≈ 0 dB. ν = 0 (line-of-sight grazing): loss = 6 dB. ν = 1: loss ≈ 16 dB. ν = 2: loss ≈ 22 dB. At mmWave: diffraction is weak (knife-edge loss is high) because the short wavelength makes the effective obstruction very large. This is why mmWave systems require near-line-of-sight or rely on reflections rather than diffraction.
Category: Link Budget and System Architecture
Updated: April 2026
Product Tie-In: Antennas, Cables, Radomes

Knife Edge Diffraction

Knife-edge diffraction occurs when an electromagnetic wave encounters a sharp edge obstacle. The wave bends around the edge, allowing some signal to reach the shadow region behind the obstacle. The amount of bending decreases with frequency (shorter wavelength = less diffraction = deeper shadow). This is why mmWave signals are strongly blocked by buildings and terrain while lower-frequency signals can partially propagate around obstacles.

ParameterFree SpaceUrbanIndoor
Path Loss ModelFriis (1/r²)Okumura-HataIEEE 802.11
Fading Margin0 dB10-30 dB5-15 dB
MultipathNoneSevereModerate-severe
Typical RangeLine of sight1-30 km10-100 m
Shadow Fading (σ)0 dB6-12 dB3-8 dB
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Common Questions

Frequently Asked Questions

When does this model apply?

Use the knife-edge model for: single sharp obstructions (building rooftop, ridge line), preliminary link analysis (quick estimate of diffraction loss), and terrain where the obstacle profile approximates a thin barrier. Do not use for: rounded hills (use rounded earth diffraction), dense urban environments (use ray tracing), or vegetation (use ITU-R P.833).

How accurate is the single knife-edge model?

For a truly sharp obstacle (building corner, metal wall): accurate within 2-3 dB. For rounded terrain: overestimates the diffraction loss by 5-10 dB because the smooth surface diffracts better than a sharp edge. For multiple obstacles: the single knife-edge model applied to the dominant obstruction gives a quick estimate, but multiple edge diffraction methods are more accurate.

Does diffraction work at mmWave?

Very poorly. At 60 GHz: even small obstructions (ν = 2) cause 22 dB diffraction loss, and building corner diffraction exceeds 30 dB. This is why 5G mmWave planning focuses on line-of-sight coverage and uses reflections from building surfaces (specular reflection) rather than diffraction for coverage extension.

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