Fresnel Zone Calculator

Calculate Fresnel zone radii, required clearance heights, and Earth bulge for line-of-sight radio, microwave, and optical links.

Wavelength
124.91 mm
ฮป = c / f
Zone 1 Radius at Midpoint
5.59 m
Maximum radius of the selected Fresnel zone at the path midpoint
Required Clearance
3.35 m
60% of Zone 1 radius โ€” minimum obstacle-free height at midpoint
Radius at 50% Position
5.59 m
Fresnel zone radius at the specified obstacle position along the path
Earth Bulge at Midpoint
0.06 m
Height of Earth curvature above the straight line (K=4/3 refractivity)
Total Clearance Needed
3.41 m
Fresnel clearance + Earth bulge = total height above ground needed
Zone Radii Comparison
Zone 1
5.6 m
Zone 2
7.9 m
Zone 3
9.7 m
Zone 4
11.2 m
Zone 5
12.5 m
ZoneMidpoint Radius (m)60% Clearance (m)
15.593.35
27.904.74
39.685.81
411.186.71
512.507.50
Planning notes, formulas, and examples

About the Fresnel Zone Calculator

When planning a line-of-sight radio, microwave, or optical link, it is not enough for the direct path between transmitter and receiver to be clear. The signal actually propagates in a volume around the direct path called the Fresnel zone โ€” an ellipsoidal region whose first zone must be at least 60% clear of obstructions for reliable communication.

This Fresnel Zone Calculator computes the radius of the first (and higher) Fresnel zones at any point along the path, the required clearance height, and the additional Earth bulge that must be accounted for on longer links. Whether you are designing a WiFi bridge, a microwave backhaul, or a point-to-point laser link, This calculator gives you the numbers needed to set antenna heights and evaluate terrain profiles.

The calculator also provides a visual comparison of zones 1 through 5 and a reference table so you can quickly see how the zone radii scale with distance and frequency. Preset buttons cover common scenarios from short WiFi links to long-haul microwave paths.

When This Page Helps

Use this calculator to estimate how much path clearance a point-to-point link really needs once you account for Fresnel radius and Earth bulge, not just geometric line of sight. It is especially useful when antenna height decisions have to be made before a full terrain profile is modeled. That helps turn a rough path sketch into a more realistic clearance check.

How to Use the Inputs

  1. Enter the operating frequency in MHz.
  2. Enter the total path distance and select the unit.
  3. Set the required clearance percentage (60% of the 1st zone is the standard).
  4. Select which Fresnel zone to analyze (1st, 2nd, or 3rd).
  5. Optionally adjust the obstacle position along the path (50% = midpoint).
  6. Review the zone radius, required clearance, Earth bulge, and total height needed.
  7. Use the visual bar chart to compare zone radii at a glance.
Formula used
Fresnel Zone Radius: rโ‚™ = โˆš(n ร— ฮป ร— dโ‚ ร— dโ‚‚ / D) At midpoint (dโ‚ = dโ‚‚ = D/2): rโ‚™ = โˆš(n ร— ฮป ร— D / 4) Earth Bulge: h = Dยฒ / (12.75 ร— K) where K โ‰ˆ 4/3 (standard refractivity) ฮป = c / f

Example Calculation

Result: Zone 1 radius = 5.59 m, 60% clearance = 3.35 m

A 2.4 GHz link over 1 km needs at least 3.35 m clearance above any midpoint obstacle to keep 60% of the 1st Fresnel zone clear.

Tips & Best Practices

  • Check that all inputs use the same scale and assumptions before trusting the result.
  • Compare the answer with the worked example or a rough estimate to catch entry mistakes.

Why Line Of Sight Is Not Enough

A radio link can have a visually clear path and still perform badly if terrain, trees, or buildings intrude into the first Fresnel zone. The wider the zone, the more likely you are to lose margin to diffraction rather than outright blockage.

Clearance Planning

The midpoint is where the first Fresnel zone is widest, but it is not always the limiting location. On irregular terrain, the critical obstruction may sit elsewhere along the path. Evaluate the actual obstacle position and add Earth bulge on longer paths before locking in antenna heights.

Frequency Tradeoffs

Higher frequencies shrink the Fresnel zone, which can simplify clearance, but they often come with other penalties such as increased rain fade or stricter alignment. Fresnel clearance is only one part of a complete link budget.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • At 60% first Fresnel zone clearance, the path loss is within about 0.5 dB of true free space, which is a common practical threshold for reliable links. Designers often treat that margin as the minimum acceptable compromise between perfect clearance and real tower height constraints.