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Fresnel Zone Radius Calculator — result sheet
Calculate a radio-link Fresnel-zone radius and diameter at a point between two antennas.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: λ = c/f; rn = √(nλd1d2/(d1+d2)); diameter = 2rn.
The radius is the approximate cross-section of the selected Fresnel zone at the chosen point along a two-terminal link. It provides a geometric clearance starting point, not a complete propagation or antenna design.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Frequency — Hz; minimum 1.0E-6; maximum 1000000000000
- Distance from transmitter — m; minimum 1.0E-6; maximum 1000000000
- Distance to receiver — m; minimum 1.0E-6; maximum 1000000000
- Fresnel zone number — minimum 1.0E-6; maximum 1000
Worked example
| Input | Value |
|---|---|
| Frequency | 2400000000 |
| Distance from transmitter | 1000 |
| Distance to receiver | 1000 |
| Fresnel zone number | 1 |
The first-zone radius at the midpoint is about 7.90 m.
Assumptions and limits
- The two distances are positive and measured along a direct path in the same unit.
- Frequency is in hertz and propagation speed is the vacuum speed of light.
- Terrain, refractive conditions, antenna patterns, polarization, multipath, and link-budget margins are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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