Compute precise half-wave dipole dimensions, effective wavelength, velocity factor correction, and near-field distance. Visualize the antenna geometry, current distribution, and radiation pattern on an interactive canvas.
The half-wave dipole is one of the most fundamental and widely used antenna configurations in radio communication. Invented by Heinrich Hertz in the late 19th century and refined by Guglielmo Marconi, the dipole remains the building block for countless antenna systems — from simple wire antennas for amateur radio to complex phased arrays for radar and satellite communications.
For a half-wave dipole, the total length is approximately:
Ltotal = λ / 2 where λ = c / f
With velocity factor correction: Leff = (c · VF) / (2 · f)
c ≈ 299,792,458 m/s (speed of light), f in Hz, VF = velocity factor (0.5 – 1.0)
A dipole antenna consists of two conductive elements (arms) of equal length, fed at the center. When RF energy is applied, standing waves develop along the arms, with current maximum at the feed point and current nulls at the ends. The voltage distribution is reversed: minimum at the feed point and maxima at the ends. This current distribution produces a far-field radiation pattern that is doughnut-shaped (toroidal) with maximum radiation broadside to the antenna axis.
The radiation resistance of a half-wave dipole in free space is approximately 73 Ω, making it relatively easy to match to 50 Ω or 75 Ω coaxial cables using a simple balun or matching network. The antenna gain is about 2.15 dBi (decibels relative to an isotropic radiator), which is the reference for most antenna gain measurements.
The velocity factor (VF) accounts for the fact that electromagnetic waves travel slightly slower in a conductor than in free space. For bare copper wire, VF is typically 0.95–0.99. For insulated wire, VF drops to 0.92–0.96 depending on the dielectric material. Using the correct VF is essential for achieving resonance at the desired frequency.
| Band | Frequency (MHz) | VF | Total Length (m) | Arm Length (m) | Application |
|---|---|---|---|---|---|
| 160m | 1.800 | 0.950 | 79.17 | 39.58 | Long-distance (DX) HF communication |
| 40m | 7.100 | 0.950 | 20.08 | 10.04 | Regional and intercontinental HF |
| 20m | 14.200 | 0.950 | 10.04 | 5.02 | Popular DX and contest band |
| 2m | 146.000 | 0.970 | 0.997 | 0.499 | VHF local and satellite communications |
| 70cm | 435.000 | 0.970 | 0.334 | 0.167 | UHF amateur, ATV, and packet radio |
| 13cm | 2400.000 | 0.980 | 0.061 | 0.0305 | Microwave, Wi-Fi, and amateur EME |
A field radio operator needs a lightweight, portable dipole for 20m band (14.200 MHz) to support emergency communication during a remote expedition. Using this calculator with VF = 0.95 for bare copper wire, the total dipole length is 10.04 m (32.94 ft) with each arm 5.02 m (16.47 ft). The operator constructs the antenna using 14 AWG stranded copper wire, feeds it with 50 Ω coax via a 1:1 balun, and supports the center at 10 m height. The calculated near-field boundary (λ/2π ≈ 3.37 m) indicates that the antenna's reactive field extends about 3.4 m from the wire, which is useful for siting the antenna away from metallic objects. The operator achieves an SWR of 1.3:1 after minor trimming, confirming the accuracy of the calculator.
Impedance Matching: A half-wave dipole presents an impedance of approximately 73 + j0 Ω at resonance. To connect to 50 Ω coaxial cable, a 1:1 balun (balanced-to-unbalanced transformer) is recommended to prevent common-mode currents on the feed line. For 75 Ω cable, a simple match is often acceptable with minimal SWR.
Balun Types: Common baluns include the current balun (choke balun) using ferrite cores or coaxial coils, and the voltage balun using transmission line transformers. The choice depends on the power level, frequency, and installation environment.
Ground Effects: The proximity of the antenna to the ground changes its radiation pattern and impedance. For horizontal dipoles, raising the antenna to at least λ/2 above ground reduces ground losses and produces a lower take-off angle for DX communications. Vertical dipoles require a good ground plane or counterpoise for efficient operation.
Bandwidth: The half-wave dipole has a typical SWR bandwidth of 5-10% of the center frequency, depending on the conductor diameter and height above ground. Thicker elements (e.g., using aluminum tubing) increase bandwidth.