Radio Horizon Calculator

Calculate maximum line-of-sight distance for radio/microwave links.

Antenna Heights

Atmospheric Conditions

Path Analysis (Optional)

K Factor Reference

K Value Condition Use Case
0.67SubrefractionWorst-case planning
1.0No refractionOptical LOS
1.33 (4/3)Standard atmosphereTypical conditions
1.5-2.0SuperrefractionTropical/coastal
> 2.0DuctingAnomalous propagation

Radio Horizon Theory

Horizon Distance Formula

d = sqrt(2 * K * R * h)
Total LOS = d_A + d_B
Where R = Earth radius (6371 km), h = antenna height, K = refraction factor

Radio waves bend due to atmospheric refraction, effectively increasing the horizon distance. Standard K=4/3 accounts for typical temperate conditions.

Design Considerations

  • Use K=4/3: Standard planning value
  • Check K=0.67: For worst-case clearance
  • Fresnel zones: Need additional clearance
  • Terrain: May block before horizon
  • Tropical paths: Consider variable K