Fresnel Zone

Last Updated on June 13, 2025 by John Berry

The First Fresnel Zone is the locus of points where, if a reflecting surface is introduced, the direct wave and reflected wave will reinforce when received at a distant point. Effects alternate for other orders of Fresnel Zone (1st, 2nd, 3rd…). Reflected waves from odd Fresnel zones reinforce. Reflection from even Fresnel zones weaken. Effects lie between the two extremes for reflection from other points.

Path loss

This idea of reflection from the Fresnel zones is shown below related to path loss. This graph shows two zones – the interference zone described above, and the obstruction zone. The interference zone shows this reinforcement and cancellation against Fresnel zone number. Reinforcement is illustrated by a gain of up to 6dB over Free Space. Cancellations are illustrated by up to 40dB loss over Free Space (in theory infinite loss for perfect cancellation at reflection coefficient R=1). This gives a classic interference pattern occurring if one of the antennas is varied in height with a reflection somewhere on the path.

Graph showing dB loss over Free Space for different obstructions and reflection coefficients.
dB loss over Free Space for different obstructions and reflection coefficients [Bullington, K (1957)  in bibliography}

The obstruction zone is important in radio propagation because path loss between any two stations relates to obstruction in the First Fresnel Zone. Any obstruction that impinges the First Fresnel zone causes obstruction loss (also termed diffraction loss). Few paths between amateur radio stations offer Free Space Loss (unless both are on hilltops). Most are heavily obstructed in a normal atmosphere.

FSL defined

Looking at the effect more closely, and coming left on the graph from the 1st Fresnel Zone, we see that the zero dB point occurs at 0.6 times the First Fresnel Zone. This gives rise to the definition of a Free Space path where clearance is available for 0.6 of the First Fresnel Zone. If that condition is met, we can say that Free Space Loss (FSL) is available between the two stations. Obstructed path losses are related to this as a loss in ‘dB over Free Space’.

As radio amateurs, we have little control over the path loss (calculated as the Free Space Loss plus obstruction loss) between our station and others. The first we’ll know about obstruction loss is if we can (or can’t) communicate. If communication is possible over a path, the system value is greater than the sum of all the losses and gains in the system. This includes, crucially, the path loss comprising Free Space loss and obstruction or diffraction loss.

Fresnel Zone clearance

But we radio amateurs do have control over our Fresnel Zone clearance in the foreground of our stations. So, what does the Fresnel Zone look like?

The first Fresnel Zone is an ellipsoid whose radius at any point between transmitter and receiver of the two radio amateurs wishing to communicate is given by:

Formula for radius of the First Fresnel Zone

Where f is the frequency (MHz). d1 and d2 are the distances (km) between transmitter and receiver at the point where the ellipsoid radius (R) is calculated. Insert n=0.6 for 0.6FFZ.

Practical paths

Consider then the geometry of a 300km space wave path. The radius of 0.6 of the 1st Fresnel zone at 144MHz at 300m from the transmitter is about 20m.  But as I noted above, a path of that length is going to be heavily obstructed anyway, thereby reducing the effect of any obstruction out at 300m. And short of moving house, there’s little either radio amateurs can do about the mid-path.

If we measure closer to the transmitter (or receiver) at say 30m out, the 0.6 of the 1st Fresnel zone radius is about 6m. And at 10m out, it’s about 1m. The situation is shown below.

Path profile showing obstruction on a path between two stations illustrating importance of Fresnel zone.
Obstruction on a path between two stations showing importance of Fresnel zone

On this simplified path profile between two amateur stations, there are two obstructions into the 0.6First Fresnel Zone. There’s a broad rounded obstruction mid path and a narrow, sharp obstruction in the foreground (within the first 1km) of the left-hand station. The mid-path obstruction could exhibit say 40dB diffraction loss but with Earth bulge impinging on a long path, this might be higher. This mid-path is, of course, unavoidable.

A foreground obstruction obscuring the bottom half of the 0.6 First Fresnel Zone might exhibit 6dB, and 12dB if the whole of the ellipse is intruded. This foreground obstruction loss is, to a large extent, often avoidable. Just as a reference, 12dB loss negates the gain afforded by a decent sized Yagi!

So, what does this analysis tell us?

Antenna height critical

Simply, make sure that your foreground is as clear as you can make it at all azimuths round your station. Often the single variable here is antenna height. Increasing the antenna height to avoid foreground obstruction is much better than increasing transmitter power or antenna gain. But remember, the 0.6FFZ must be clear – not just the optical line of sight.

NB, this analysis was at 144MHz. At 50MHz and 10m out from the antenna, the 0.6FFZ radius is 6m. So even higher antennas are needed at lower frequencies in order to clear the foreground and avoid foreground obstruction loss.