Fresnel Zone Calculator

Calculate the Fresnel zone radius for line-of-sight wireless links. Essential for microwave link planning — obstructions in the 1st zone cause signal loss even with visual LOS.

Calculator Electronics Updated Apr 23, 2026
How to Use
  1. Enter frequency and total link distance.
  2. Enter distance from TX to the obstruction (or select midpoint).
  3. Result: Fresnel zone radius at that point. 60% clearance gives "essentially free-space" loss.
Input
Hz (MHz, GHz OK)
m (km OK)
m (km OK, 0 = midpoint)
Presets
Zone Cross Section
Zone Radius
m
60% Clearance
m
2nd Zone
m
At Position

Show Work

Enter frequency + distance.

Formulas

Nth Zone Radius
r_n = √(n·λ·d₁·d₂/(d₁+d₂))
d₁, d₂ = distances from endpoints.
Max (midpoint)
r_max = ½·√(n·λ·D)
D = total link distance.
Practical Form
r_m = 17.3·√(D_km/(f_GHz·4))
At midpoint, 1st zone.
60% Rule
Clear to 0.6·r_max
Typical engineering target.
Wavelength
λ = c/f
3.4 cm at 8.8 GHz.
Earth Bulge
h = D² / (8·k·6371 km)
Add for long links (k=4/3).

History of Fresnel Zones

Augustin-Jean Fresnel\'s 1818 theory of wave optics introduced the concept of "Fresnel zones" as concentric regions where wavelets arrive in alternating phase. The theory originally explained light diffraction around apertures; a century later, radio engineers discovered the same geometry governed microwave propagation past obstacles.

Fresnel zones became critical design constraints for AT&T\'s 1950s transcontinental microwave-relay network. Each 30-mile hop needed 60% 1st-zone clearance to hit the design signal-to-noise targets. Surveyors traced paths on topo maps, identifying hilltops and valleys where obstructions would eat into the signal budget. The technique remained standard into the cellular-backhaul era of the 1990s.

Modern point-to-point gigabit links (up to 80 GHz E-band) make Fresnel clearance more forgiving because wavelength is millimeters instead of centimeters. But urban NLOS has become the dominant design challenge: 5G millimeter-wave links must operate in Fresnel-obstructed environments with heavy reliance on beamforming and multipath reflection.

About This Calculator

Enter frequency, total link distance, and the distance from TX to your specific obstruction point (0 = compute at midpoint where zone is largest). The tool returns the 1st Fresnel zone radius, the 60% clearance threshold, and the 2nd zone radius.

For full path planning, also account for earth bulge on long links (>10 km): each km adds a fraction of a meter of curvature that effectively raises the radio horizon. Use the earth-bulge addendum in the formulas section. Everything runs client-side.

Frequently Asked Questions

What is a Fresnel zone?

An ellipsoid around the direct line-of-sight path. Signals take slightly longer paths around obstacles inside this zone, arriving out of phase and partially cancelling the direct signal. The 1st Fresnel zone is the most critical.

How much clearance?

60% of the 1st zone radius is the common rule. 100% clearance = full free-space path loss; 60% clearance ≈ 1-2 dB extra loss; less than 40% degrades quickly.

Why ellipsoid?

Largest near the midpoint of the path; tapers to zero at each endpoint. So an obstacle at 25% of the path causes less obstruction than the same obstacle at 50%.

Common Use Cases

Rural WiFi Bridge

5 km at 5.8 GHz: 1st zone ~4 m at midpoint. Clear to 60% = 2.4 m — check trees, houses.

Microwave Backhaul

20 km at 23 GHz: 1st zone ~4 m at midpoint.

P2P LoRa

10 km at 915 MHz: 1st zone ~29 m; substantial tree clearance needed.

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