Physics

Fresnel Zone Calculator

Find the radius of the first Fresnel zone of a radio link.

Parameters Live Compute
Calculated Output
First Fresnel zone radius 17.667
Formula: r = 17.31·√(d₁·d₂ ÷ (f·(d₁+d₂)))
Step-by-Step Breakdown
1. Values used:
2. Distance to point 1 = 5
3. Distance to point 2 = 5
4. Frequency = 2.4 GHz
5.
6. First Fresnel zone radius = 17.667
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The Fresnel zone is the elliptical region around a radio path that must stay clear of obstacles.

The math behind it

r = 17.31·√(d₁·d₂ ÷ (f·(d₁+d₂))) in metres, with distances in km and frequency in GHz.

Worked Example

5 km + 5 km at 2.4 GHz → about 17.7 m radius at midpoint.

Frequently Asked Questions

How much must stay clear?

Keep at least 60% of the first Fresnel zone unobstructed for a reliable link.

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