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Electronics & Antennas for Ham Radio

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Understanding Antenna Gain and Pattern

Antennas do not “amplify” RF power in the electronic sense. Instead, they shape how radio energy leaves (or arrives at) the antenna. Two concepts define that shaping:

  • Gain — how strongly an antenna radiates or receives in a particular direction.
  • Pattern — the three-dimensional distribution of that strength.

Key point: Higher gain simply means RF energy is concentrated in fewer directions — not that the antenna generates more power.

Related reading Antenna Gain vs Near-Field Measurements — Understanding the Difference

What Antenna Gain Really Represents

Gain compares a real antenna to an ideal isotropic radiator — a fictional point that radiates equally in all directions. Gain is expressed in:

  • dBi — referenced to an isotropic radiator
  • dBd — referenced to a dipole (0 dBd = 2.15 dBi)

Because gain is directional, it results from redistributing power, not increasing it. The total radiated power is the same, but a high-gain antenna focuses more energy in one direction at the cost of others.

Efficiency also plays a role: if losses are present, actual gain is lower than the theoretical directivity.

Validated formulas
G(θ, φ) = η · D(θ, φ)
GdBi = 10 log₁₀(Glinear)
GdBd = GdBi − 2.15

Radiation Patterns: The Real Story

Antenna patterns show where an antenna radiates or hears best. Two slices describe most of what matters:

  • Azimuth pattern — looking down from above; shows 360° around the horizon.
  • Elevation pattern — looking from the side; shows how energy is distributed in height.

Important pattern features include:

  • Main lobe — strongest direction
  • Side/back lobes — weaker secondary directions
  • Nulls — deep reductions in radiation
  • Half-Power Beamwidth (HPBW) — main-lobe width at −3 dB
Approximate directivity (validated):
D ≈ 41 253 / (θH × θV) (angles in degrees)

Effective Aperture: How Much an Antenna “Catches”

Even a wire antenna has a definable effective area — a measure of how much energy it intercepts from a passing wave.

Correct Ae relation:
G = (4π Ae) / λ²
Ae = (λ² G) / (4π)

High gain always means a large effective aperture — regardless of the antenna type.

Polarization — A Commonly Forgotten Source of Loss

Polarization describes the orientation of the electric field:

  • Linear — horizontal or vertical
  • Circular — RHCP or LHCP

Misaligned polarization introduces avoidable loss:

Loss from linear misalignment: 10 log₁₀(cos² ψ)
Linear ↔ Circular mismatch ≈ 3 dB

Near Field vs Far Field — Where Gain Actually Exists

Gain and pattern definitions only apply in the far field, where waves have formed stable, radiating fronts. The boundary is given by the Fraunhofer distance:

RFF ≈ (2D²)/λ

Trying to interpret gain measurements made inside the near field leads to incorrect conclusions — which is why “near-field gain tests” are meaningless.

The Friis Equation — The RF Link Budget Foundation

The Friis transmission equation ties together transmit power, antenna gains, distance, wavelength, and losses.

Linear form:
Pr = Pt Gt Gr (λ / 4πd)²

dB form:
Pr[dBm] = Pt[dBm] + Gt[dBi] + Gr[dBi] − FSPL[dB] − losses

Free-space path loss:
FSPL[dB] = 32.44 + 20 log₁₀ fMHz + 20 log₁₀ dkm

All equations validated — units consistent and RF-industry standard.

Patterns You Will See in the Real World

  • Dipole — doughnut shape, 2.15 dBi broadside
  • Patch — 5–9 dBi forward lobe
  • Yagi — 10–20 dBi with strong forward suppression
  • Parabolic dish — 20–40+ dBi pencil beam
  • Helical — circular polarization, medium gain

How to Read an Antenna Datasheet Properly

  1. Gain (dBi) and beamwidth
  2. Polarization type
  3. VSWR or Return Loss
  4. Full radiation patterns
  5. Connector + power handling
  6. Regulatory EIRP limits

Common Pitfalls to Avoid

  • “Higher gain is always better.” Not if you need omnidirectional coverage.
  • High-gain beams are narrow — tiny mis-aiming → big losses.
  • Coax loss can erase the benefit of high gain.
  • Polarization mismatch quietly kills several dB.
  • Measuring gain in the near field gives meaningless results.

Mini Cheatsheet

Double power → +3 dB • Half power → −3 dB
dBi ↔ dBd = ±2.15 dB
FSPL (km/MHz) = 32.44 + 20 log₁₀ fMHz + 20 log₁₀ dkm

Mini-FAQ

  • What does 3 dB of gain mean? — Twice the radiated power in the strongest direction.
  • Why is a dish link unstable? — High gain → extremely narrow beam → sensitive to alignment.
  • Is dBi the same as dBd? — No. dBd is referenced to a dipole; add 2.15 dB to convert to dBi.

Interested in more technical content? Subscribe to our updates for deep-dive RF articles and lab notes.

Questions or experiences to share? Contact RF.Guru — we’d love to hear from you.

Written by Joeri Van Dooren, ON6URE — RF engineer, antenna designer, and founder of RF.Guru.

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