Wireless Notes
Learn dipole antenna with half-wave dipole working, radiation pattern, impedance 73 ohm, gain 2.15 dBi, types Hertzian short folded dipole, and applications in FM radio WiFi for engineering students.
Introduction: Why Study the Dipole?
The dipole antenna is to antenna engineering what the resistor is to circuit theory — it is the most fundamental element upon which everything else is built. Every antenna textbook begins with the dipole because it represents the simplest practical radiating structure, yet it beautifully illustrates all the key antenna concepts: radiation patterns, impedance, gain, polarization, and bandwidth.
More importantly, the half-wave dipole serves as the universal reference antenna. When engineers specify antenna gain in dBd (decibels relative to a dipole), they are comparing against this standard structure. Understanding the dipole deeply gives you the foundation to analyze any antenna — from simple whip antennas to complex phased arrays.
📊 Types of Dipole Antennas
| Type | Length | Gain (dBi) | Impedance | Characteristics |
|---|---|---|---|---|
| Hertzian dipole | << λ (infinitesimal) | 1.76 | Very low R_rad + high reactance | Theoretical model, impractical |
| Short dipole | < λ/10 | 1.76 | Low R_rad (~5Ω), highly capacitive | Electrically small, poor radiator |
| Half-wave dipole | λ/2 | 2.15 | 73 Ω (resonant) | Most common practical antenna |
| Full-wave dipole | λ | 3.82 | ~200 Ω (high impedance) | Higher gain, matching difficult |
| Folded dipole | λ/2 (folded back) | 2.15 | ~300 Ω | 4× impedance of regular dipole, wider bandwidth |
Why is the half-wave dipole so popular? Its 73 Ω impedance is close to standard 75 Ω coaxial cable impedance, making matching straightforward. It has a clean radiation pattern, reasonable bandwidth (5-10%), and simple construction. It resonates naturally without requiring external matching networks when cut to the correct length.
🌊 Radiation Pattern
The radiation pattern of a half-wave dipole has a distinctive three-dimensional shape — like a donut or bagel centered on the antenna axis:
| E-plane (contains antenna) | H-plane (perpendicular to antenna): |
| Nulls | Along the antenna axis (top and bottom) |
| Maximum | Perpendicular to the antenna (broadside) |
| HPBW (E-plane) | 78° |
| 3D shape | Donut/toroid around the antenna axis |
Key observations:
- The dipole does NOT radiate off its ends — there are nulls along the antenna axis
- Maximum radiation occurs perpendicular to the antenna (broadside direction)
- In the H-plane (horizontal for a vertical dipole), radiation is omnidirectional — equal in all azimuth directions
- This makes the vertical half-wave dipole ideal for broadcast applications where 360° horizontal coverage is needed
📐 Key Parameters of the Half-Wave Dipole
| Parameter | Value | Significance |
|---|---|---|
| Length | λ/2 (practical: 0.95 × λ/2 due to end effects) | Determines resonant frequency |
| Gain | 2.15 dBi (1.64 linear) | Reference for dBd measurements |
| Directivity | 1.64 (1.64 × isotropic) | Moderate focusing |
| Input impedance | 73 + j42.5 Ω (at exactly λ/2) | Close to 75Ω cable |
| Resonant impedance | 73 Ω (at ~0.95 × λ/2) | Purely resistive — easy match |
| HPBW (E-plane) | 78° | Moderately broad beam |
| Radiation resistance | 73 Ω | High efficiency (R_rad >> R_loss) |
| Radiation efficiency | ~98% | Nearly all input power radiated |
| Bandwidth | 5-10% (SWR < 2:1) | Narrow — single-frequency operation |
| Polarization | Linear (parallel to antenna) | Vertical dipole → vertical polarization |
🔧 Design Calculations
Calculating dipole length for a given frequency:
| • FM radio (100 MHz) | L = 0.95 × 3×10⁸/(2×10⁸) = 1.425 m (each arm: 71 cm) |
| • VHF TV (200 MHz) | L = 0.95 × 3×10⁸/(4×10⁸) = 71.25 cm |
| • WiFi (2.4 GHz) | L = 0.95 × 3×10⁸/(4.8×10⁹) = 5.94 cm (each arm: ~3 cm!) |
| • 5G mmWave (28 GHz) | L = 0.95 × 3×10⁸/(5.6×10¹⁰) = 5.1 mm |
Notice how the antenna shrinks dramatically with frequency — a WiFi dipole fits in your finger, while an FM dipole is nearly 1.5 meters long.
Dipole vs. Monopole
A monopole is essentially half a dipole mounted on a ground plane. The ground plane acts as an electrical mirror, making the monopole behave as if the other half exists:
| Parameter | Half-Wave Dipole | Quarter-Wave Monopole |
|---|---|---|
| Length | λ/2 | λ/4 (half the dipole!) |
| Impedance | 73 Ω | 36.5 Ω (half) |
| Gain | 2.15 dBi | 5.15 dBi (ground plane doubles radiation into upper hemisphere) |
| Requires ground plane | No | Yes |
| Common use | Base station, reference | Car antenna, handheld radio |
🌐 Practical Applications
- FM Radio broadcasting (88-108 MHz) — folded dipoles in Yagi arrays for directional reception
- VHF/UHF Television — "rabbit ear" antennas are adjustable dipoles
- WiFi routers — the small rubber-coated "stick" antennas are sleeve dipoles
- Reference/calibration — standard gain reference for antenna measurements
- Amateur (ham) radio — simple, effective HF/VHF antennas from wire
- Base station arrays — half-wave dipoles as array elements in cellular towers
- RFID readers — dipole-based antennas for tag interrogation
- EMC testing — calibrated dipoles for emissions measurement
❓ Frequently Asked Questions
Q: Why does a dipole have 73 Ω impedance specifically? A: This value comes from solving Maxwell's equations for the sinusoidal current distribution on a half-wave conductor. The radiation resistance equals the ratio of total radiated power to the square of the maximum current — and for a half-wave dipole, this integral evaluates to approximately 73.13 Ω.
Q: How do I orient a dipole for best reception? A: The dipole radiates maximally perpendicular to its axis and has nulls off its ends. For vertical polarization (mobile communication), mount the dipole vertically. For horizontal polarization (TV broadcasting), mount it horizontally with its length perpendicular to the transmitter direction.
Q: What limits the bandwidth of a dipole? A: The dipole is a resonant structure — at resonance, the impedance is purely real (73 Ω). Away from resonance, a reactive component appears (inductive above resonance, capacitive below), causing impedance mismatch. Making the conductors thicker (larger diameter-to-length ratio) reduces stored reactive energy and increases bandwidth.
📝 Summary
The half-wave dipole is the foundational antenna in wireless communications — simple in structure (two λ/4 rods with center feed), predictable in performance (2.15 dBi gain, 73 Ω impedance, omnidirectional H-plane pattern), and universally used as a reference standard. Its radiation pattern (donut-shaped, null along axis, maximum broadside) makes it ideal for broadcast and base station applications. Understanding the dipole deeply — its current distribution, impedance behavior, and radiation mechanism — provides the basis for analyzing all more complex antenna structures.
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