Dipole Antenna Simulator: Half-Wave Radiation Pattern & Directivity

simulator intermediate ~10 min
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D = 2.15 dBi — classic half-wave dipole

A half-wave dipole at 300 MHz (λ = 1 m, L = 50 cm) produces a toroidal radiation pattern with 2.15 dBi directivity and 78° half-power beamwidth in the E-plane.

Formula

λ = c / f (wavelength from frequency)
D = 1.64 (2.15 dBi) for half-wave dipole
R_rad ≈ 73.1 Ω for half-wave dipole

The Fundamental Radiator

The dipole antenna is where antenna engineering begins. Heinrich Hertz used a dipole to first demonstrate electromagnetic waves in 1887, confirming Maxwell's predictions. Today, the half-wave dipole remains the building block of antenna theory — its properties are analytically tractable, its construction is trivial, and its radiation pattern serves as the reference against which all other antennas are measured.

Radiation Pattern & Directivity

A half-wave dipole radiates most strongly perpendicular to its axis, creating a toroidal (donut-shaped) pattern. Along the wire axis, radiation drops to zero — these are the nulls. The directivity of 2.15 dBi means the peak radiation is 1.64 times stronger than an isotropic radiator with the same total power. This modest directivity is sufficient for many applications but motivates the development of arrays and reflectors for higher-gain systems.

Impedance & Matching

At exactly half-wave resonance, the dipole input impedance is purely resistive at approximately 73 + j42.5 Ω. In practice, the antenna is shortened slightly (to about 0.48λ) to eliminate the reactive component, yielding a purely real impedance near 70 Ω. This makes matching to 50 or 75 Ω transmission lines straightforward with a simple balun transformer, explaining the dipole's enduring popularity.

From Dipoles to Arrays

While a single dipole has limited directivity, arrays of dipoles can achieve remarkable beam control. The Yagi-Uda antenna uses parasitic dipole elements to create a directional beam. Collinear arrays stack dipoles vertically for omnidirectional horizontal gain. Log-periodic arrays arrange dipoles of varying length for broadband operation. Every advanced antenna design traces its lineage back to understanding the humble half-wave dipole.

FAQ

What is a dipole antenna?

A dipole antenna is a fundamental antenna type consisting of two conductive elements (rods or wires) fed at the center. The half-wave dipole, with total length equal to half the wavelength, is the most common configuration. It produces a donut-shaped (toroidal) radiation pattern with maximum radiation perpendicular to the wire axis.

Why is the half-wave dipole so important?

The half-wave dipole is the reference antenna for antenna engineering. It resonates naturally with a purely resistive input impedance of approximately 73 Ω, is simple to construct, and has well-understood characteristics. Its directivity of 2.15 dBi serves as the baseline for comparing all other antennas.

What is directivity vs. gain?

Directivity measures how well an antenna concentrates radiation in its strongest direction compared to an isotropic radiator. Gain includes ohmic losses: G = η × D, where η is efficiency. For a lossless half-wave dipole, gain equals directivity (2.15 dBi). Real antennas have gain slightly less than directivity due to conductor and dielectric losses.

How does dipole length affect the pattern?

At half-wave length, the pattern is a smooth toroid. As length increases beyond one wavelength, the pattern splits into multiple lobes. At 1.5λ, four lobes appear. The radiation resistance also oscillates, affecting impedance matching. Short dipoles (L << λ) have very low radiation resistance and are difficult to match.

Sources

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