RF Fresnel zone clearance calculator

Calculate first Fresnel radius at obstacle and required clearance with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use first Fresnel radius at obstacle and required clearance to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Frequency (MHz)
2400
Total path length (m)
1000
Obstacle distance from transmitter (m)
400
Measured ray-to-obstacle clearance (m)
3
Required radius fraction
0.6
First Fresnel radius at obstacle (m)
5.475331
Required clearance (m)
3.285198
Clearance surplus (m)
-0.285198

Try another scenario

Frequency (MHz)
2640
Total path length (m)
1000
Obstacle distance from transmitter (m)
400
Measured ray-to-obstacle clearance (m)
3
Required radius fraction
0.6
First Fresnel radius at obstacle (m)
5.220523
Required clearance (m)
3.132314
Clearance surplus (m)
-0.132314
Calculation method

Calculation method

First Fresnel radius at obstacle (m)

sqrt(wavelength d1 d2/(d1+d2)).

Required clearance (m)

Radius × supplied required fraction.

Clearance surplus (m)

Measured clearance minus required clearance.

Symbols and units
a
Frequency (MHz)
b
Total path length (m)
c
Obstacle distance from transmitter (m)
d
Measured ray-to-obstacle clearance (m)
e
Required radius fraction

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Frequency, path length, obstacle position. Returns Fresnel radius and supplied clearance comparison. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Frequency (MHz): minimum 1e-12, maximum 1000000000000.0. Total path length (m): minimum 1e-12, maximum 1000000000000.0. Obstacle distance from transmitter (m): minimum 1e-12, maximum 1000000000000.0. Measured ray-to-obstacle clearance (m): minimum None, maximum 1000000000000.0. Required radius fraction: minimum 0, maximum 1.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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