Fresnel Zone Clearance
Determine Fresnel zone clearance for microwave and fixed wireless links: first-zone radius at an obstacle (or mid-path), the common 60% Fresnel rule for unobstructed paths, and earth bulge at the midpoint. Ideal for pages targeting line of sight, tower height, and point-to-point wireless.
Fresnel Zones Wireless Calculator — How much more than LOS or how high should my antenna be?
This calculator defines how much clearance you need (you will require more than simple Line-of-Sight) and for longer links > 3 Km (2 miles) whether you may have a ground clearance problem.
Enter the Total link distance (in Miles or Kilometers), if you do not enter an Obstacle distance (in Miles or Kilometers) the calculator will use the mid-point for all calculations (Note: assumes antennas at same height). Finally enter the system Frequency in MHz and then click the 'Calculate' button. 1 GHz = 1000 MHz e.g. 2400 = 2.4 GHz.
The calculator will generate the radius of the 1st Fresnel zone only (at the obstacle point or the mid-point), the 60% (no obstacle) radius and the height of the effective earth curvature at the mid-point of the Total link distance using the effective earth radius.
See the calculations and equations used for this wireless calculator.
Fresnel Zone Calculations
- Calculator normalises all distances to kilometers and meters
- Miles to Kilometers = 1.609
- Kilometers to miles = 0.621
- feet to meters = .3048
- meters to feet = 3.28
- 1st Fresnel Zone radius (Km) = 17.3 x Sqr root ((Obstacle Distance x (Total Link - Obstacle Distance)) / (Frequency in GHz x Total Link))
- 1st Fresnel Zone radius (miles) = 72.6 x Sqr root ((Obstacle Distance x (Total Link - Obstacle Distance)) / (Frequency in GHz x Total Link))
- Obstacle free radius = 0.6 x 1st Fresnel Zone radius
- Radius of nth Fresnel zone (meter) = sqr root ( (n x wave length x Obstacle distance x (Total Link - Obstacle Distance)) / Total Link )
- wave length (meters) = speed of light (299,792,458 m/s) / frequency in Hz
- Earth curvature calculation = (Total Link)2 / (8 × effective earth radius)
- effective earth radius = 4/3 * Earth radius
- Earth radius = 3963 miles, 6378 Km