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Fresnel Zone Calculator


A radio path occupies an ellipsoidal region called a Fresnel zone, not just the optical line between antennas. Objects inside the Fresnel zone can cause diffraction loss and multipath fading.

Fresnel radius is calculated from r = √( λ d1d2 / (d1 + d2) ), where λ is wavelength, d1 is distance from Antenna #1, and d2 is distance from Antenna #2.

The plot uses a chord between the two antenna-site ground points. Earth curvature is drawn above that chord. Antennas and obstruction are drawn upward from the curved Earth surface. The Fresnel boundaries are the LOS path plus and minus the selected Fresnel-zone radius.

Disclaimer: These calculations are believed to be accurate, but you must validate all results for critical applications. RF Cafe's calculators are entirely unique code - not "borrowed" from somebody else's work.

Height units:
Distance units:
Frequency units:
mi
ft
ft
%
%
mi
ft
GHz
mi
Wavelength0.124914 m / 0.4098 ft
Obstruction distance from Antenna #280.0000 mi
Earth center chord height1667.065 ft
Chord angle1.447229°
LOS height at obstruction633.083 ft AGL
FZ1 at obstructionUpper: 819.152, Lower: 447.014 ft AGL, Lower clearance: -302.986 ft
FZ2 at obstructionUpper: 744.725, Lower: 521.442 ft AGL, Lower clearance: -228.558 ft
-30612762858Ant. 1Ant. 2Obs.Brown: EarthBlack: LOSRed: FZ1Blue: FZ2Green: obstructionDistance from Antenna #1 (mi)0100.00Vertical: ft, chord-relative
Dist.
from Ant. #1
(mi)
Earth
Bulge
(ft)
LOS
AGL
(ft)
FZ1
Radius
(ft)
FZ1
Upper AGL
(ft)
FZ1
Lower AGL
(ft)
FZ1 Lower
Above Obs.
(ft)
FZ2
Radius
(ft)
FZ2
Upper AGL
(ft)
FZ2
Lower AGL
(ft)
FZ2 Lower
Above Obs.
(ft)
0.00000.0001500.0000.0001500.0001500.000750.0000.0001500.0001500.000750.000
2.0000130.6961389.30465.1241454.4281324.179574.17939.0751428.3781350.229600.229
4.0000256.0581283.94291.1551375.0961192.787442.78754.6931338.6351229.249479.249
6.0000376.0861183.914110.4721294.3861073.442323.44266.2831250.1971117.630367.630
8.0000490.7791089.221126.1981215.419963.022213.02275.7191164.9391013.502263.502
10.0000600.138999.862139.5521139.413860.310110.31083.7311083.593916.130166.130
12.0000704.163915.837151.1631067.000764.67414.67490.6981006.535825.13975.139
14.0000802.853837.147161.409998.556675.738-74.26296.845933.992740.301-9.699
16.0000896.209763.791170.535934.326593.256-156.744102.321866.112661.470-88.530
18.0000984.230695.770178.714874.483517.056-232.944107.228802.998588.542-161.458
20.0000 *1066.917633.083186.069819.152447.014-302.986111.641744.725521.442-228.558
22.00001144.269575.731192.696768.427383.035-366.965115.618691.349460.113-289.887
24.00001216.287523.713198.667722.381325.046-424.954119.200642.914404.513-345.487
26.00001282.970477.030204.041681.071272.990-477.010122.424599.455354.606-395.394
28.00001344.318435.682208.862644.544226.820-523.180125.317560.999310.365-439.635
30.00001400.332399.668213.169612.837186.499-563.501127.901527.569271.767-478.233
32.00001451.011368.989216.992585.981151.997-598.003130.195499.184238.794-511.206
34.00001496.356343.644220.356564.000123.288-626.712132.214475.858211.430-538.570
36.00001536.366323.634223.283546.917100.351-649.649133.970457.604189.664-560.336
38.00001571.041308.959225.789534.74783.170-666.830135.473444.432173.486-576.514
40.00001600.382299.618227.887527.50571.731-678.269136.732436.350162.886-587.114
42.00001624.388295.612229.590525.20266.022-683.978137.754433.366157.858-592.142
44.00001643.059296.941230.906527.84666.035-683.965138.543435.484158.397-591.603
46.00001656.396303.604231.841535.44571.763-678.237139.105442.708164.499-585.501
48.00001664.398315.602232.400548.00283.202-666.798139.440455.042176.162-573.838
50.00001667.065332.935232.586565.521100.348-649.652139.552472.486193.383-556.617
52.00001664.398355.602232.400588.002123.202-626.798139.440495.042216.162-533.838
54.00001656.396383.604231.841615.445151.763-598.237139.105522.708244.499-505.501
56.00001643.059416.941230.906647.846186.035-563.965138.543555.484278.397-471.603
58.00001624.388455.612229.590685.202226.022-523.978137.754593.366317.858-432.142
60.00001600.382499.618227.887727.505271.731-478.269136.732636.350362.886-387.114
62.00001571.041548.959225.789774.747323.170-426.830135.473684.432413.486-336.514
64.00001536.366603.634223.283826.917380.351-369.649133.970737.604469.664-280.336
66.00001496.356663.644220.356884.000443.288-306.712132.214795.858531.430-218.570
68.00001451.011728.989216.992945.981511.997-238.003130.195859.184598.794-151.206
70.00001400.332799.668213.1691012.837586.499-163.501127.901927.569671.767-78.233
72.00001344.318875.682208.8621084.544666.820-83.180125.3171000.999750.3650.365
74.00001282.970957.030204.0411161.071752.9902.990122.4241079.455834.60684.606
76.00001216.2871043.713198.6671242.381845.04695.046119.2001162.914924.513174.513
78.00001144.2691135.731192.6961328.427943.035193.035115.6181251.3491020.113270.113
80.00001066.9171233.083186.0691419.1521047.014297.014111.6411344.7251121.442371.442
82.0000984.2301335.770178.7141514.4831157.056407.056107.2281442.9981228.542478.542
84.0000896.2091443.791170.5351614.3261273.256523.256102.3211546.1121341.470591.470
86.0000802.8531557.147161.4091718.5561395.738645.73896.8451653.9921460.301710.301
88.0000704.1631675.837151.1631827.0001524.674774.67490.6981766.5351585.139835.139
90.0000600.1381799.862139.5521939.4131660.310910.31083.7311883.5931716.130966.130
92.0000490.7791929.221126.1982055.4191803.0221053.02275.7192004.9391853.5021103.502
94.0000376.0862063.914110.4722174.3861953.4421203.44266.2832130.1971997.6301247.630
96.0000256.0582203.94291.1552295.0962112.7871362.78754.6932258.6352149.2491399.249
98.0000130.6962349.30465.1242414.4282284.1791534.17939.0752388.3782310.2291560.229
100.00000.0002500.0000.0002500.0002500.0001750.0000.0002500.0002500.0001750.000
* Row at entered obstruction distance. “Above Obs.” compares the lower Fresnel boundary with the entered obstruction AGL height.
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