Advertisement

Fresnel zone calculator

Enter the total path length and position along a straight link. Antenna height and obstruction height share the same flat-ground reference.

Calculator

Selected Fresnel-zone radius
5.58824
Maximum selected-zone radius
5.58824
First-zone radius at obstruction
5.58824
Height for 60% first-zone clearance
3.35294
Margin above required clearance
6.64706

Advertisement

How this calculator works

Fresnel zones describe path-length differences around a direct radio path. The paraxial radius depends on wavelength and the distances to both ends, reaching its maximum at the midpoint. The clearance estimate reserves 60% of the first-zone radius even when another zone number is selected. It assumes equal antenna heights above a flat common datum and omits Earth curvature, terrain profiles and atmospheric refraction.

Formula

rn = sqrt(n lambda d1 d2/(d1+d2)), lambda = c/f. rmax = sqrt(n lambda D/4). Required height = obstruction height + 0.6 r1.

Worked example

For wavelength 1 m and a 100 m link, the first-zone midpoint radius is 5 m. With antenna height 10 m and an obstruction 5 m high, the clearance margin is 10 - 5 - 0.6(5) = 2 m.

Advertisement

Frequently asked questions

Does the radius equal antenna height?

No. It is measured from the direct line between the antennas, so terrain and line height must be considered separately.

Why use first-zone clearance for a higher zone?

The common 60% clearance guide refers to the first zone. Higher-zone radius is reported separately.

Can this model a long link over curved Earth?

No. Add curvature and atmospheric refraction using a path-profile model for long or uneven routes.

Sources

Advertisement