Line of Sight Distance Convertor

Practical Uses of the Line of Sight Convertor

This convertor helps engineers, radio planners, and hobbyists quickly calculate the maximum line of sight distance (dₗ) and radio horizon distance (dᵣ) based on antenna height (h). It is useful for network planning, ensuring signal reliability, and avoiding obstacles in wireless communication setups.

Calculation Formulas for dₗ and dᵣ

Line of Sight Distance (dₗ) formula:

dₗ = 3.57 × √h

Radio Horizon / Service Range (dᵣ) formula:

dᵣ = 4.12 × √h

Understanding the Formulas

The formula for dₗ estimates the distance at which the antenna can visually see the horizon, depending on its height (h in meters). The dᵣ formula considers the atmospheric refraction effect to provide a realistic radio horizon, which is slightly farther than the visual line of sight.

Example Calculation Using the Convertor

If an antenna height (h) is 30 meters:

dₗ = 3.57 × √30 ≈ 19.56 km

dᵣ = 4.12 × √30 ≈ 22.55 km

Reasons to Use the Line of Sight Convertor

1. Quickly calculate distances without manual computations.

2. Plan wireless links and line-of-sight communication efficiently.

3. Determine optimal antenna height for reliable signal coverage.

4. Minimize interference from terrain or obstacles by understanding dₗ and dᵣ.

5. Useful for both professional engineers and radio enthusiasts for practical deployment planning.