Antenna Radiation Pattern Visualizer

Interactive polar plots of radiation patterns for common antenna types: isotropic reference, half-wave dipole, quarter-wave monopole, Yagi beam, and parabolic dish. Shows peak gain, half-power beamwidth (HPBW), front-to-back ratio, and polarization.

Calculator Electronics Updated Apr 18, 2026
How to Use
  1. Select an antenna type from the dropdown.
  2. The polar plot shows relative gain in all directions (E-plane). Distance from center = signal strength.
  3. Read peak gain (dBi), HPBW (half-power beamwidth in degrees), and front-to-back ratio for each design.
  4. Compare patterns to pick the right antenna for your coverage area or point-to-point link.
Input
Presets
Pattern
Peak gain
HPBW
F/B
Pol.

Pattern Notes

Pick an antenna type to see its characteristics.

Typical Gain Reference

Isotropic
0 dBi
Theoretical 3D reference.
½λ Dipole
2.15 dBi
Toroidal "donut" pattern.
¼λ Monopole
5.15 dBi
Dipole equivalent over ground plane.
Yagi 5-element
~10 dBi
Directive beam antenna.
Parabolic Dish
20–50 dBi
Microwave, narrow beam.
HPBW
−3 dB beam width
Angular width at half-power.

History of Antenna Pattern Analysis

Heinrich Hertz\'s 1888 experiments revealed that electromagnetic radiation was directional — his dipole antennas radiated strongly perpendicular to their axis and not at all along it. Guglielmo Marconi\'s transatlantic work exploited vertical polarization and the Earth as a reflector, producing the first commercial understanding of how antenna orientation shaped coverage.

Hidetsugu Yagi and Shintaro Uda at Tohoku Imperial University in 1926 described the first parasitic-element beam antenna: a driven half-wave dipole with a slightly longer reflector behind and several shorter directors in front. The "Yagi-Uda" antenna offered 8–15 dB of forward gain with 15–25 dB front-to-back rejection — simple enough to build from wire and wood — and became the dominant VHF/UHF directional antenna for TV, radar, and amateur radio. Every rooftop "bow-tie" antenna you see is a Yagi-Uda variant.

Parabolic reflectors for RF followed Heinrich Hertz\'s 1888 work but became practical only at microwave frequencies (above 1 GHz) where reasonable dish sizes produce narrow beams. The MIT Radiation Lab\'s wartime radar research (1940–1945) produced the definitive set of dish-antenna design formulas still used today, including the aperture-efficiency and illumination-taper analyses that let engineers calculate gain from dish diameter.

About This Calculator

Select an antenna type from the dropdown and the visualizer renders its approximate E-plane polar radiation pattern alongside peak gain, half-power beamwidth, and front-to-back ratio. Five patterns are provided: isotropic reference (circle), half-wave dipole (figure-8), quarter-wave monopole over ground plane, 5-element Yagi beam, and parabolic dish.

Patterns shown are idealized — real antennas deviate due to feed imperfections, nearby reflective surfaces, mutual coupling in arrays, and bandwidth. For critical design work, use a full EM simulator like 4NEC2, NEC-2, or a commercial package. This tool is for quick visualization and selection. All rendering runs client-side.

Frequently Asked Questions

What does the polar plot represent?

A 2D slice through the antenna\'s 3D radiation pattern, usually the E-plane (plane containing the antenna\'s electric field). Distance from the origin in any direction represents relative signal strength in that direction. An isotropic radiator would be a perfect circle; real antennas have lobes and nulls.

dBi vs omnidirectional?

dBi expresses gain relative to an isotropic radiator (perfectly omnidirectional in 3D). "Omnidirectional" colloquially usually means omnidirectional in a horizontal plane (like a dipole or monopole) — in 3D those antennas have donut-shaped patterns with nulls above and below.

What is HPBW?

Half-power beamwidth: the angle between the two points where signal strength falls to half (−3 dB) of the peak. A tight beam (high-gain dish, 1–2° HPBW) requires careful pointing; a wide beam (dipole, 78° HPBW) tolerates huge pointing errors.

Front-to-back ratio?

Ratio of gain in the forward peak direction to gain in the opposite direction, expressed in dB. High F/B (20–30 dB) rejects interference coming from behind the antenna — important for receivers near other transmitters. Yagi and log-periodic beams achieve 20+ dB F/B; dishes achieve 40+ dB.

How does polarization matter?

Antennas radiate polarized waves — the direction of the E-field vector. Horizontal, vertical, and circular are the three common types. Cross-polarization (using a vertical antenna to receive horizontal) loses 20–30 dB. Most terrestrial VHF/UHF is vertical; TV broadcast is horizontal; satellite communication is often circular (right-hand or left-hand).

Common Use Cases

Coverage Planning

Cell tower uses sector antennas with ~65° horizontal HPBW to cover 3×120° sectors. Choosing a tighter beam increases capacity but shrinks coverage.

Point-to-Point Link

Microwave backhaul between two towers uses parabolic dishes with 1–3° HPBW. The narrow beam rejects interference and concentrates power — essential at long range.

DX Hunting (Amateur Radio)

Hams chasing rare contacts use rotatable Yagi beams with high F/B to reject nearby-direction QRM while boosting gain toward the target.

Satellite Earth Station

Dish with 0.5–5° HPBW tracks satellites across the sky; requires motorized pointing to maintain lock as the satellite moves.

Base-Station Antenna

Dipole or collinear vertical with omnidirectional azimuth pattern serves users in all directions equally; ideal for central base stations.

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