Undergraduate Antenna Engineering

Dipole Antennas StudyGuide

Theory, design, and applications of the most fundamental antenna structure in wireless communications. From Hertz to modern WiFi.

I(z) l/2 l/2 Feed
Figure 1: Half-wave dipole with current distribution and radiation pattern

Learning Objectives

1

Theory

Understand electromagnetic radiation mechanism and current distribution

2

Analysis

Calculate radiation patterns, impedance, and directivity

3

Design

Design dipole antennas for specific frequency bands

4

Application

Implement practical dipole configurations and matching

1. Fundamental Concepts

The dipole antenna consists of two conductive elements fed at the center, forming the simplest and most widely used antenna structure.

1.1 Definition and Structure

A dipole antenna is a symmetrical antenna consisting of two straight conductive elements (arms) arranged collinearly with a small gap at the center where the transmission line is connected. The total length l determines its electrical characteristics.

Key Parameters:

  • Total Length (l): Physical length of both arms combined
  • Arm Length: Typically l/2 for each side
  • Wire Radius (a): Affects bandwidth and impedance
  • Gap Width: Ideally infinitesimal for theoretical analysis

1.2 Current Distribution

For a thin dipole with sinusoidal current distribution, the current along the antenna is given by:

I(z) = Im sin[k(l/2 - |z|)]

where k = 2π/λ is the wave number, Im is the maximum current, and z is the position along the antenna axis (-l/2 ≤ z ≤ l/2).

Important: The current must be zero at the ends (z = ±l/2) and maximum at the center for a half-wave dipole.

Quick Reference

Wave Number (k)
k = 2π/λ = ω/c
Wavelength (λ)
λ = c/f
Intrinsic Impedance (η₀)
≈ 377 Ω

Historical Context

The dipole antenna was first demonstrated by Heinrich Hertz in 1886 during his experiments proving the existence of electromagnetic waves.

First practical application: Early radio broadcasting (1920s)

2. Types of Dipole Antennas

λ/4 λ/4
MOST COMMON

Half-Wave Dipole

Total length l = λ/2. Most popular configuration with input impedance ≈ 73 Ω.

  • • Length: 0.5λ
  • • Impedance: ~73 + j0 Ω
  • • Directivity: 2.15 dBi
λ/4
GROUND PLANE

Quarter-Wave Monopole

Half dipole over ground plane. Image theory applies. Impedance ≈ 36.5 Ω.

  • • Length: 0.25λ
  • • Impedance: ~36.5 Ω
  • • Requires ground plane
λ/2
HIGH IMPEDANCE

Folded Dipole

Two parallel dipoles connected at ends. Input impedance ≈ 300 Ω.

  • • Length: 0.5λ
  • • Impedance: ~300 Ω
  • • Bandwidth: Wider
l << λ
ELEMENTARY

Short Dipole

Infinitesimal dipole (Hertzian dipole). Used as theoretical reference.

  • • Length: l << λ
  • • Impedance: High capacitive
  • • Radiation resistance low
λ
HIGH IMPEDANCE

Full-Wave Dipole

Length = λ. High input impedance, difficult to match. Null at broadside.

  • • Length: 1.0λ
  • • Impedance: Very high
  • • Pattern: Split lobes
BALUN
BROADBAND

Sleeve Dipole

Cylindrical sleeve acts as balun. Wide bandwidth, commonly used in VHF/UHF.

  • • Integrated balun
  • • Bandwidth: 20-30%
  • • Stable impedance

3. Radiation Characteristics

Radiation Pattern Visualization

The radiation pattern of a dipole antenna depends on its electrical length. Use the interactive tool below to explore how the pattern changes with dipole length.

0.1λ 0.5λ 2.0λ

Half-Wave (0.5λ)

Figure-8 pattern in E-plane, omnidirectional in H-plane. Maximum radiation broadside to antenna.

Full-Wave (1.0λ)

Null appears at broadside. Four lobes with maximum radiation at ±45°.

1.5λ Dipole

Six lobes, more complex pattern. Multiple nulls in the radiation pattern.

Key Equations

Radiated Power

Prad = I02 Rr / 2

Where Rr is the radiation resistance

Radiation Resistance (Half-Wave)

Rr ≈ 73 Ω

At resonance, reactance XA = 0

Directivity

D0 = 1.64 (2.15 dBi)

For half-wave dipole

Beamwidth

HPBW ≈ 78° (E-plane)

Half-power beamwidth

4. Design Considerations

Impedance Matching

Half-wave dipole impedance (~73Ω) differs from standard 50Ω coaxial cable.

  • • Gamma match
  • • T-match
  • • Balun transformers
  • • Quarter-wave transformer

Baluns

Balanced-to-unbalanced transformer required to connect coaxial cable to dipole.

  • • Sleeve balun
  • • Ferrite balun
  • • Half-wave balun
  • • Quarter-wave balun

Bandwidth

Dipole bandwidth affected by wire diameter and length-to-diameter ratio.

  • • Thick dipoles: Wider bandwidth
  • • Thin dipoles: Narrow bandwidth (~5%)
  • • Folded dipole: ~3× bandwidth

Design Procedure: Half-Wave Dipole

1

Determine Operating Frequency

Identify center frequency f₀ (e.g., 100 MHz for FM radio)

2

Calculate Wavelength

λ = c / f₀ = 300 / f(MHz) meters

3

Calculate Physical Length

l = 0.5 × λ × k

where k ≈ 0.95 (velocity factor for wire dipole)

4

Select Wire Diameter

Typical: λ/100 to λ/1000. Thicker wire = wider bandwidth

5

Design Matching Network

Implement balun and matching network for 50Ω or 75Ω feed line

Dipole Antenna Calculator

Wavelength
3.00 m
Half-Wave Length
1.43 m
Each Arm
0.71 m

Design Recommendations

  • • Recommended wire diameter: 2-4 mm
  • • Expected input impedance: ~73 Ω
  • • Use 1:1 balun for coaxial feed

5. Applications

📻

AM/FM Radio

Broadcast reception, "rabbit ears" TV antennas

📡

WiFi/Bluetooth

2.4 GHz and 5 GHz wireless communications

📱

Cellular Base

Base station antennas, sector antennas

✈️

Aviation

VHF communication, navigation systems

Summary

The dipole antenna remains the fundamental building block of antenna engineering. Understanding its radiation mechanism, impedance characteristics, and design principles provides the foundation for more complex antenna systems used in modern wireless communications.

Length: 0.5λ optimal
Impedance: ~73Ω
Pattern: Figure-8