The simplest effective antenna
The half-wave dipole is the reference antenna of radio: two equal lengths of wire fed in the middle, together about half a wavelength long. It is cheap, efficient and easy to build, which makes it a favorite of ham radio operators for the HF bands. This calculator gives the cutting length of a dipole and of quarter-wave and 5/8-wave verticals for any frequency.
The formulas
The wavelength in free space is λ = c / f, or 299.79 divided by the frequency in MHz, in meters. A real dipole resonates a little shorter than λ/2 because of the end effect, so a shortening factor k, about 0.95 for thin wire, is applied:
- Half-wave dipole: L = k × λ / 2, about 468 / f(MHz) feet or 142.5 / f(MHz) meters.
- Each leg: half of that, measured from the center insulator.
- Quarter-wave vertical: k × λ / 4, about 234 / f feet, used with radials or a ground plane.
- 5/8-wave vertical: k × 0.625 × λ, which gives a little more gain at low angles but needs a matching network.
Worked example
For the 20-meter band at 14.2 MHz, λ = 21.1 m. A half-wave dipole is 0.95 × 21.1 / 2 = 10.03 m, or 32.9 feet, made of two legs of about 16.5 feet. A quarter-wave vertical for the same frequency is about 16.5 feet tall.
Tuning in practice
- Cut each leg 2 to 3% long and fold the extra wire back at the ends.
- Raise the antenna to its final height; nearby objects and height above ground shift resonance.
- Measure the standing wave ratio (SWR) across the band with an antenna analyzer.
- If the lowest SWR is below your target frequency, the antenna is too long: shorten both legs equally. Removing about 1% of the length raises resonance by about 1%.
Common band lengths
| Band | Frequency | Dipole length |
|---|---|---|
| 40 m | 7.15 MHz | 65.5 ft (19.9 m) |
| 20 m | 14.2 MHz | 33.0 ft (10.0 m) |
| 10 m | 28.5 MHz | 16.4 ft (5.0 m) |
| CB | 27.2 MHz | 17.2 ft (5.2 m) |
| 2 m | 146 MHz | 3.2 ft (0.98 m) |
Feeding the dipole
A dipole’s impedance at resonance is about 73 ohms in free space and often 50 to 70 ohms in practice, a good match for 50-ohm coaxial cable. A 1:1 current balun at the feed point keeps the coax shield from radiating. In an inverted-V configuration, with the center higher than the ends, the impedance drops closer to 50 ohms and the antenna may need to be slightly longer.