Angle of Departure (Propagation)
Understanding Angle of Departure
When an HF transmitter radiates, some energy travels along the ground (ground wave, limited to ~100 km) and some radiates upward at various elevation angles (sky wave). The sky wave components that strike the ionosphere at angles below the critical angle are refracted back to Earth. The AoD determines where these refracted waves land: the skip distance.
For long-range HF communication (DX), operators want the lowest possible AoD to maximize skip distance, often requiring antennas mounted at heights of λ/2 or higher over good ground conductivity. For military tactical communications needing reliable coverage within a 300 km radius without skip zones, NVIS antennas are deliberately designed for near-vertical radiation at 70-90° AoD, using horizontal dipoles at λ/4 height.
Dskip ≈ 2h·cot(α)
where h = ionospheric reflection height, α = AoD
Example: F2 layer (h=300 km), α=10°:
Dskip = 2×300×cot(10°) = 600×5.67 = 3,400 km
Spherical Earth correction (long paths):
Dskip = 2RE·arccos[RE/(RE+h)·cos(α)]
RE = 6,371 km (Earth radius)
AoD Application Scenarios
| Scenario | AoD Required | Antenna Type | Range |
|---|---|---|---|
| DX (intercontinental) | 5-15° | Yagi, vertical, high dipole | 3,000-12,000 km |
| Regional (500-2,000 km) | 15-45° | Dipole at λ/2 | 500-2,000 km |
| NVIS (tactical) | 70-90° | Low horizontal dipole | 0-300 km |
| Ground wave | N/A (surface) | Vertical monopole | 0-100 km |
Frequently Asked Questions
How does AoD determine skip distance?
Lower AoD = longer skip. Dskip ≈ 2h·cot(α). At α=5° with h=300 km: Dskip ≈ 6,800 km single hop.
What is NVIS propagation?
NVIS uses 70-90° AoD to bounce signals nearly straight up off the ionosphere, providing 0-300 km coverage with no skip zone. Uses low horizontal dipoles at 2-10 MHz.
Is AoD the same as take-off angle?
Yes in HF context. The antenna's main lobe elevation angle determines AoD. Height above ground, ground conductivity, and terrain slope all affect achievable take-off angle.