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TEC-ELEC48-06 · Lesson 7 · 10.5 clock hours · theory

Antennas: Principles, Types, and Patterns

Objective. Students describe the operating principles of dipole, yagi, parabolic dish, omnidirectional vertical, and panel antennas; read a polar radiation pattern; and select an antenna type appropriate to a described coverage requirement.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by an industry-certified professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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What an Antenna Does

An antenna is a transducer that converts electrical energy traveling along a transmission line into electromagnetic waves radiated into space, and vice versa. Every antenna is reciprocal: the same element that transmits a signal will receive it with identical directional properties. Understanding how antennas work—and how to read their radiation patterns—is essential for selecting and installing RF systems that perform reliably.

Fundamental Antenna Principles

Resonance and length. A half-wave dipole resonates when its total length equals one half of the operating wavelength. The free-space formula is:

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Length (meters) = 150 / f(MHz)

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A practical correction factor of about 0.95 accounts for conductor diameter and end effects, giving the commonly used formula:

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Length (meters) = 142.5 / f(MHz)

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At resonance, feedpoint impedance is approximately 73 Ω in free space (often treated as 50 Ω for practical matching).

Gain and directivity. Gain describes how much an antenna concentrates radiated power in a preferred direction compared to a reference. When referenced to an isotropic radiator (a theoretical point source that radiates equally in all directions), gain is expressed in dBi. When referenced to a half-wave dipole, it is expressed in dBd. The relationship is: dBi = dBd + 2.15.

Polarization. The orientation of the electric field vector determines polarization. A vertical element produces vertical polarization; a horizontal element produces horizontal polarization. Cross-polarization mismatch between transmit and receive antennas can cause significant signal loss.

Radiation Patterns and How to Read Them

A radiation pattern is a polar plot showing signal strength in all directions, normalized to the direction of maximum radiation. Manufacturers publish two cuts:

Key features to identify on any polar plot:

Five Antenna Types

Half-wave dipole. Two quarter-wave elements fed at the center. The radiation pattern is a figure-eight (donut shape in 3-D), with nulls off the ends and maximum radiation broadside to the wire. Gain is approximately 2.15 dBi. Widely used as a reference and as a practical antenna for HF, VHF, and UHF work.

Yagi-Uda (Yagi). A dipole driven element with a reflector behind it and one or more directors in front. Each added director narrows the main lobe and increases forward gain. A typical 3-element Yagi achieves roughly 7–8 dBd. Used for point-to-point links, television reception, and amateur radio.

Parabolic dish. A large curved reflector focuses energy toward or from a small feedhorn at the focal point. Very high gain (often 20–40+ dBi) and very narrow beamwidth make dishes ideal for long-distance point-to-point microwave links and satellite communications. Precise alignment is critical.

Omnidirectional vertical. A vertical element (often a quarter-wave ground plane or collinear array) that radiates equally in all horizontal directions, producing a toroidal (donut) pattern in 3-D. Collinear designs compress the pattern toward the horizon, increasing gain. Common in cellular base stations, repeaters, and Wi-Fi access points where 360° horizontal coverage is needed.

Panel (sector) antenna. A flat array mounted on a back reflector. Typical horizontal beamwidth is 60°–120°, providing sector coverage with moderate-to-high gain. Used in cellular base stations (three 120° panels cover 360°), and in point-to-multipoint wireless networks.

Selecting the Right Antenna

Match the antenna's pattern to the coverage requirement:

| Scenario | Key need | Best choice |

|---|---|---|

| Point-to-point microwave link | Maximum gain, narrow beam | Parabolic dish |

| Cellular sector coverage | Fixed sector, moderate gain | Panel/sector antenna |

| Omnidirectional repeater | 360° horizontal | Vertical collinear |

| Home Wi-Fi access point | Low-cost, near-omnidirectional | Small vertical or dipole |

| GPS receive | Circular polarization, wide sky view | Patch (microstrip) antenna |

Building the 2-Meter Dipole — Safety First

When constructing and testing antennas:

Connecting It All

Antenna performance is only as good as the entire system: antenna → feedline → connectors → radio. SWR (Standing Wave Ratio) quantifies impedance mismatch. An SWR of 1:1 is perfect; 2:1 means about 11% of power is reflected. A well-built, resonant dipole should show SWR below 2:1 across its intended band. The antenna analyzer sweeps frequency and displays SWR or return loss automatically, making it straightforward to find the true resonant frequency and compare it to your calculated target.

Key terms8

Gain (dBi / dBd)A measure of how much an antenna concentrates radiated power in its best direction compared to an isotropic radiator (dBi) or a half-wave dipole (dBd); dBi = dBd + 2.15.
−3 dB beamwidthThe angular width of the main lobe between the two points where radiated power falls to half (3 dB below) the peak value; used to quantify how directional an antenna is.
Radiation patternA polar plot showing the relative strength of an antenna's radiation as a function of direction; E-plane and H-plane cuts are the standard views provided in manufacturer datasheets.
ReciprocityThe property of an antenna by which its transmit and receive radiation patterns are identical; an antenna that radiates well in a given direction also receives well from that direction.
Front-to-back ratioThe difference in dB between the gain in the direction of the main lobe and the gain directly behind the antenna; a higher value means less interference from the rear.
SWR (Standing Wave Ratio)A ratio describing impedance mismatch between a transmission line and antenna; 1:1 is a perfect match; higher values indicate reflected power and reduced efficiency.
PolarizationThe orientation of the electric field vector of the radiated wave; matching polarization between transmit and receive antennas is necessary to avoid signal loss.
Collinear antennaA vertical antenna made of multiple in-phase half-wave elements stacked end-to-end; stacking compresses the vertical pattern toward the horizon, increasing horizontal gain over a single vertical element.

Worked examples4

1. Calculate the total length of a half-wave dipole for 144 MHz using the practical formula, and determine each element's length.
  1. Identify the formula: Total length (m) = 142.5 / f(MHz)
  2. Substitute the frequency: Total length = 142.5 / 144 = 0.990 m
  3. Each element is half the total length: 0.990 / 2 = 0.495 m per element
  4. Convert to centimeters for easier measurement: 0.495 m = 49.5 cm per element
Answer: Total dipole length ≈ 99.0 cm (approximately 0.990 m); each element is approximately 49.5 cm.
2. A dipole calculated for 144 MHz is built and measured on an antenna analyzer. The analyzer shows minimum SWR at 151 MHz. What is the percentage error, and which direction should the elements be trimmed?
  1. Calculate percentage error: ((Measured − Target) / Target) × 100 = ((151 − 144) / 144) × 100
  2. = (7 / 144) × 100 = 4.86%
  3. Interpret the direction: the antenna is resonant above the target frequency, which means it is too short (higher frequency = shorter effective electrical length).
  4. Correction: lengthen each element slightly and re-measure. Trimming removes material; to lower resonant frequency you add length.
Answer: The error is approximately 4.9%, which is within the ±5% pass criterion. Because resonance is above the target, the dipole elements are too short and must be lengthened to bring resonance down to 144 MHz.
3. A parabolic dish antenna has a gain of 28 dBi. Express this gain in dBd.
  1. Recall the relationship: dBd = dBi − 2.15
  2. Substitute: dBd = 28 − 2.15 = 25.85 dBd
Answer: The dish has a gain of approximately 25.85 dBd.
4. An antenna datasheet shows the −3 dB points on the H-plane polar plot at 40° and 160° from the direction of peak radiation. What is the −3 dB beamwidth?
  1. Identify the two −3 dB angles relative to the main-lobe peak (defined as 0°): one is at −60° from center (40° from the 0° axis on one side) and one is at +60° on the other side. Wait—re-read the problem: the points are at 40° and 160° on the polar plot where 0° is the main-lobe direction.
  2. The −3 dB beamwidth is the angular difference between the two points: 160° − 40° = 120°.
  3. Verify reasonableness: 120° is typical for a panel or sector antenna H-plane pattern.
Answer: The −3 dB beamwidth is 120°.

The math in this lesson2

Learners compute percent error between measured and target resonant frequency against a ±5% criterion.
7.RP.3A-CED.4
Brush up in the math halls at newSchoolWorks.com:
In class: Compare radiation-pattern plots (E-plane and H-plane) for four antenna types from manufacturer datasheets; students annotate each plot identifying the main lobe, -3 dB beamwidth, back lobe, and any nulls. · Complete an antenna-selection exercise: given five coverage scenarios (point-to-point microwave link, cellular sector, amateur repeater omnidirectional, home Wi-Fi, and GPS receive), students select and justify an antenna type for each. · Construct a half-wave dipole for the 2-meter amateur band (approximately 144 MHz) from copper wire and a SO-239 connector; calculate element length using the standard formula and compare measured resonant frequency (using an antenna analyzer) to calculated value.
Materials: Manufacturer antenna pattern sheets (dipole, yagi, panel, dish, omni), copper wire, SO-239 connector, coax pigtail, soldering iron, antenna analyzer or SWR meter, tape measure, scenario worksheet
Check: Antenna-selection exercise scored (4 of 5 correct to pass); dipole resonant frequency measured within ±5% of calculated target frequency.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

ETA CET — RF and Antenna Theory
1. A half-wave dipole radiates maximum energy in which direction relative to the wire axis?
ETA CET — RF and Antenna Theory
2. Using the practical dipole formula (142.5 / f in MHz), what is the total length of a half-wave dipole designed for 72 MHz?
ETA FOI/FOT — RF Systems and Testing
3. On a polar radiation pattern, the −3 dB beamwidth is defined as the angular width between the two points where radiated power is:
ETA CET — RF Systems
4. Which antenna type is best suited for a long-distance point-to-point microwave link requiring very high gain and a very narrow beam?
BICSI Installer — ICT Systems Design
5. A cellular base station uses three identical panel antennas spaced 120° apart. What total horizontal coverage do they provide?
ETA CET — RF and Antenna Theory
6. An antenna has a gain of 10 dBd. What is its gain expressed in dBi?
ETA CET — RF and Antenna Theory
7. When building a dipole and the antenna analyzer shows the resonant frequency is higher than the target, the correct corrective action is to:
ETA CET — Safety Practices
8. During antenna construction lab, which personal protective equipment and safety practice is most important when soldering the SO-239 connector?
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