Antennas

Antennas
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Antennas From Theory to Practice Comprehensive coverage of the fundamentals and latest developments in antennas and antenna design In the newly revised Second Edition of Antennas: From Theory to Practice, renowned researcher, engineer, and author Professor Yi Huang delivers comprehensive and timely coverage of issues in modern antenna design and theory. Practical and accessible, the book is written for engineers, researchers, and students who work with radio frequency/microwave engineering, radar, and radio communications. The book details the basics of transmission lines, radiowaves and propagation, antenna theory, antenna analysis and design using industrial standard design software tools and the theory of characteristic modes, antenna measurement equipment, facilities, and techniques. It also covers the latest developments in special topics, like small and mobile antennas, wide- and multi-band antennas, automotive antennas, RFID, UWB, metamaterials, reconfigurable and MIMO antennas, and more. The new edition includes up to date information on a wide variety of newly relevant topics and trends, like adaptive impedance matching, the theory of characteristic modes, antenna materials and fabrication processes, and over-the-air (OTA) antenna system measurements. Many questions and examples are provided which enhances the ­learning experience. The book covers: An introduction to circuit concepts and transmission lines, including lumped and distributed element systems, transmission line theory, and the Smith Chart An exploration of field concepts and radiowaves, including wave equations and solutions and radiowave propagation mechanisms, characteristics, and models Discussions of antenna basics and popular antennas, including wire-type antennas, aperture-type antennas, and antenna arrays Information about antenna manufacturing and measurements, including antenna measurement facilities and methods The use of industrial standard simulation tools for antenna design and analysis Perfect for engineers and researchers who work in RF engineering or radar and radio communications, Antennas: From Theory to Practice, Second Edition will also earn a place on the bookshelves of university students seeking a concise and practical introduction to the basics of antennas and antenna design.

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Yi Huang. Antennas

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Antennas. From Theory to Practice

Preface to the Second Edition

Preface to the First Edition

Acronyms and Constants

About the Author

About the Companion Website

1 Introduction. 1.1 A Brief History of Antennas

1.2 Radio Systems and Antennas

1.3 Necessary Mathematics

1.3.1 Complex Numbers

1.3.2 Vectors and Vector Operation

Example 1.1 Vector operation

Solution

1.3.3 Coordinates

1.4 Basics of EMs

1.4.1 Electric Field

1.4.2 Magnetic Field

1.4.3 Maxwell’s Equations

1.4.3.1 Faraday's Law of Induction

1.4.3.2 Amperes’ Circuital Law

1.4.3.3 Gauss' Law for Electric Field

1.4.3.4 Gauss’ Law for Magnetic Field

1.4.4 Boundary Conditions

1.5 Summary

References

Problems

2 Circuit Concepts and Transmission Lines

2.1 Circuit Concepts

2.1.1 Lumped and Distributed Element Systems

2.2 Transmission Line Theory

2.2.1 Transmission Line Model

2.2.2 Solutions and Analysis

2.2.2.1 Lossless Transmission Lines

2.2.2.2 Low‐Loss Transmission Lines

2.2.3 Terminated Transmission Line

2.2.3.1 Input Impedance

Example 2.1 Input impedance

Solution

Example 2.2 Input impedance of a low‐loss transmission line

Solution

Example 2.3 Quarter‐wavelength transform

Solution

2.2.3.2 Reflection Coefficient and Return Loss

Example 2.4 Reflection coefficient and return loss of a lossless transmission line

Solution

Example 2.5 Reflection coefficient and return loss of a low‐loss transmission line

Solution

2.2.3.3 Voltage Standing Wave Ratio (VSWR)

Example 2.6 VSWR

Solution

2.3 The Smith Chart and Impedance Matching. 2.3.1 The Smith Chart

Example 2.7 Input impedance and reflection coefficient

Solution

2.3.2 Impedance Matching

2.3.2.1 Lumped Matching Networks

Example 2.8 Impedance matching

Solution

2.3.2.2 Distributed Matching Networks

Example 2.9 Impedance matching and bandwidth

Solution

2.3.2.3 Adaptive Impedance Matching

2.3.3 Quality Factor and Bandwidth

2.4 Various Transmission Lines

2.4.1 Two‐wire Transmission Line

2.4.1.1 Characteristic Impedance

2.4.1.2 Fundamental Mode

2.4.1.3 Loss

2.4.2 Coaxial Cable

2.4.2.1 Characteristic Impedance

2.4.2.2 Fundamental Mode

2.4.2.3 Loss

2.4.3 Microstrip Line

2.4.3.1 Characteristic Impedance

2.4.3.2 Fundamental Mode

2.4.3.3 Loss

2.4.4 Stripline

2.4.4.1 Characteristic Impedance

2.4.4.2 Fundamental Mode

2.4.4.3 Loss

2.4.5 Coplanar Waveguide (CPW)

2.4.5.1 Characteristic Impedance

2.4.5.2 Fundamental Mode

2.4.5.3 Loss

2.4.6 Waveguide

2.4.6.1 Fundamental Mode

2.4.6.2 Cutoff Frequency, Waveguide Wavelength, and Characteristic Impedance

2.4.7 New Transmission Lines (SIW, Gap Waveguide, and MSTL) and Comparisons

2.4.7.1 Substrate‐Integrated Waveguide

2.4.7.2 Gap Waveguide

2.4.7.3 Mode‐Selective Transmission Line

2.5 Connectors

2.6 Summary

References

Problems

Notes

3 Field Concepts and Radiowaves

3.1 Wave Equation and Solutions

3.1.1 Discussion on Wave Solutions

3.2 Plane Wave, Intrinsic Impedance, and Polarization. 3.2.1 Plane Wave and Intrinsic Impedance

3.2.2 Polarization

3.3 Radiowave Propagation Mechanisms

3.3.1 Reflection and Transmission

Example 3.1 Reflection on a perfect conductor

Solution

Example 3.2 Reflection on a ground

Solution

3.3.1.1 Effects of Reflection and Transmission on Wave Polarization

3.3.1.2 Radiowave Through a Wall

Example 3.3 Reflection of a wall

Solution

3.3.2 Diffraction and Huygens’ Principle

3.3.3 Scattering

3.4 Radiowave Propagation Characteristics in Media

3.4.1 Media Classification and Attenuation

3.4.1.1 Propagation Through Ionosphere

3.4.1.2 Propagation in Rain

3.4.1.3 Propagation in Snow

3.4.1.4 Propagation Through Fog

3.5 Radiowave Propagation Models

3.5.1 Free Space Model

3.5.2 Two‐ray Model/Plane Earth Model

3.5.3 Multipath Models

3.6 Comparison of Circuit Concepts and Field Concepts

3.6.1 Skin Depth

3.6.1.1 Skin Depth – Field Concepts

3.6.1.2 Skin Depth – Circuit Concepts

3.7 Summary

References

Problems

4 Antenna Basics

4.1 Antennas to Radiowaves

4.1.1 Near Field and Far Field

4.1.1.1 Far Field (Fraunhofer Region)

4.1.1.2 Near Field

4.1.2 Radiation Pattern

4.1.3 Directivity, Gain/Realized Gain and Radiation Efficiency

Example 4.1 Directivity

Solution

Example 4.2 Gain and total radiated power

Solution

4.1.3.1 EIRP

Example 4.3 EIRP and ERP

Solution

4.1.4 Effective Aperture and Aperture Efficiency

Example 4.4 Effective aperture

Solution

4.1.4.1 Effective Height and Antenna Factor

4.1.5 Other Parameters from the Field Point of View. 4.1.5.1 Polarization

4.1.5.2 Bandwidth

4.1.5.3 Antenna Temperature

4.1.5.4 Friis Transmission Formula and Radar Cross Section

4.2 Antennas to Transmission Lines

4.2.1 Input Impedance and Radiation Resistance

4.2.2 Reflection Coefficient, Return Loss, and VSWR

4.2.3 Other Parameters from the Circuit Point of View. 4.2.3.1 Radiation Efficiency, Reflection Efficiency, and Total Efficiency

Example 4.5 Matching, total efficiency, and radiated power

Solution

4.2.3.2 Bandwidth

4.3 Summary

References

Problems

5 Popular Antennas

5.1 Wire‐Type Antennas

5.1.1 Dipoles

5.1.1.1 Current Distribution

5.1.1.2 Radiation Pattern

5.1.1.3 Directivity and Gain

5.1.1.4 Radiation Resistance and Input Impedance

5.1.1.5 Why the Half‐Wavelength Dipole Is the Most Popular Dipole?

Example 5.1 Short Dipole

Solution

5.1.2 Monopoles and Image Theory

5.1.2.1 Image Theory

5.1.2.2 Monopole Antennas

5.1.2.3 Effects of Ground Plane

5.1.3 Loops and Duality Principle

5.1.3.1 Duality Principle

5.1.3.2 Small Loops

5.1.3.3 Loop Antenna: General Case

5.1.3.4 Discussion

5.1.4 Helical Antennas

5.1.4.1 Normal‐Mode Helix

5.1.4.2 Axial‐Mode Helix

Example 5.2 Axial Helix

Solution

5.1.5 Yagi–Uda Antennas

5.1.5.1 Operational Principle

5.1.5.2 Current Distribution

5.1.5.3 Radiation Pattern

5.1.5.4 Directivity and the Boom

5.1.5.5 Input Impedance

5.1.5.6 Antenna Design

5.1.6 Log‐Periodic Antennas and Frequency‐Independent Antennas

5.1.6.1 Operational Principle of Log‐Periodic Antennas

5.1.6.2 Antenna Design

Example 5.3 Log‐Periodic Antenna Design

Solution

5.1.6.3 Frequency‐Independent Antennas

2.4.3.3 Scaling

2.4.4 Angle Conditions

2.4.4.1 Self‐complementary

5.2 Aperture‐Type Antennas

5.2.1 Fourier Transform and Radiated Field

Example 5.4 Radiation from an Open‐Ended Waveguide

Solution

5.2.2 Horn Antennas

5.2.2.1 Pyramidal Horns

Example 5.5 Optimum Horn Design

Solution

5.2.2.2 Other Horn Antennas

5.2.3 Reflector and Lens Antennas

5.2.3.1 Paraboloidal Reflector Characteristics

5.2.3.2 Analysis and Design

Aperture Efficiency and Directivity

2.4.7 Design Considerations and Procedures

Example 5.6 Edge Taper and Spillover Efficiency

Solution

5.2.3.3 Offset Parabolic Reflectors

5.2.3.4 Lens Antennas

5.2.4 Slot Antennas and Babinet’s Principle

5.2.5 Microstrip Antennas

5.2.5.1 Operational Principles

5.2.5.2 Analysis and Design

Radiation Pattern and Directivity

Input Impedance and Bandwidth

Design Equations and Procedures

Example 5.7 Design a Rectangular Patch

Solution

5.2.5.3 Ground Plane

5.3 Antenna Arrays

5.3.1 Basic Concept

5.3.2 Isotropic Linear Arrays

5.3.2.1 Phased Arrays

5.3.2.2 Broadside and End‐fire Arrays

5.3.2.3 The Hansen–Woodyard End‐fire Array

5.3.2.4 The Dolph–Tschebyscheff (D–T) Optimum Distribution

5.3.3 Pattern Multiplication Principle

5.3.4 Element Mutual Coupling

5.4 Discussions

5.5 Some Practical Considerations

5.5.1 Transmitting and Receiving Antennas: Reciprocity

5.5.2 Balun and Impedance Matching

5.5.3 Antenna Polarization

5.5.3.1 Circular Polarization

5.5.3.2 Polarization Match and Mismatch

5.5.4 Radomes, Housings, and Supporting Structures

5.5.4.1 Design of Radomes and Housings

5.5.4.2 Effects of Radome and Housing

5.5.4.3 Antenna Supporting Structure

5.6 Summary

References

Problems

Note

6 Computer‐Aided Antenna Design and Analysis

6.1 Introduction

6.2 Computational Electromagnetics for Antennas

6.2.1 Method of Moments (MoM)

6.2.1.1 Introduction to MoM

Example 6.1 MoM

Solution

6.2.1.2 Analysis of a Dipole Antenna Using MoM

6.2.1.3 Discussion and Conclusions

6.2.2 Finite Element Method (FEM)

6.2.3 Finite‐Difference Time‐Domain (FDTD) Method

6.2.4 Transmission Line Modeling (TLM) Method

6.2.5 Comparison of Numerical Methods

6.2.6 High‐Frequency Methods

6.3 Computer Simulation Software

6.3.1 Simple Simulation Tools

6.3.2 Advanced Simulation Tools

6.3.2.1 CST Studio Suite

6.3.2.2 HFSS

6.3.2.3 FEKO

6.3.2.4 TICRA

6.4 Examples of Computer‐Aided Design

6.4.1 Wire‐type Antenna Design and Analysis

6.4.1.1 Design Examples. Example 6.2 14 MHz dipole for Ham radio transceiver

Solution

Example 6.3 Monopole array

Solution

6.4.2 General Antenna Design and Analysis

6.4.2.1 Design Examples

Example 6.4 Dual‐band GSM antenna

Solution

6.5 Theory of Characteristic Modes for Antenna Design

6.5.1 Mathematical Formulation of Characteristic Modes

6.5.2 Physical Interpretation of Characteristic Modes

6.5.3 Examples of Using TCM for Antenna Designs

6.6 Summary

References

Problems

7 Antenna Materials, Fabrication, and Measurements

7.1 Materials for Antennas

7.1.1 Conducting Materials

7.1.2 Dielectric Materials

7.1.3 Composites

7.1.4 Metamaterials and Metasurfaces

7.1.4.1 Metasurfaces

7.2 Antenna Fabrication

7.2.1 PCB‐Based Fabrication

7.2.2 MEMS

7.2.3 LTCC

7.2.4 LCP

7.2.5 LDS

7.2.6 Printing

7.3 Antenna Measurement Basics

7.3.1 Scattering Parameters

7.3.2 Network Analyzers

7.3.2.1 The Configuration of a VNA

7.3.2.2 What Can a VNA be Used to Measure?

7.3.2.3 Calibration and Measurement Errors

7.4 Antenna Measurement Facilities

7.4.1 Open‐Area Test Site

7.4.2 Anechoic Chamber

7.4.2.1 An Example of an Anechoic Chamber

7.4.3 Compact Antenna Test Range (CATR)/Plane Wave Generator (PWG)

7.4.4 Near‐Field Systems

7.4.4.1 Planar and Cylindrical Near‐Field Systems

7.4.4.2 Spherical Near‐Field Systems

7.4.5 Reverberation Chamber

7.5 Impedance, S11, and VSWR Measurements

7.5.1 Can I Measure These Parameters in My Office?

7.5.2 Effects of a Small Section of a Transmission Line or a Connector

7.5.3 Effects of Packages on Antennas

7.6 Radiation Pattern Measurements

7.6.1 Far‐field Condition

7.6.2 Far‐field Radiation Pattern Measurements

7.6.3 Near‐field Radiation Pattern Measurements

7.7 Gain Measurements

7.7.1 Gain Comparison Measurements

7.7.2 Two‐antenna Measurement

7.7.3 Three‐antenna Measurement

7.8 Efficiency Measurements

7.9 Miscellaneous Topics

7.9.1 Impedance De‐embedding Techniques

7.9.2 MIMO Over‐the‐Air Testing

7.9.3 Probe Array in Near Field Systems

7.9.3.1 Introduction

7.9.3.2 Multi‐Probe Systems

7.9.3.3 Probe Array Calibration

7.9.3.4 Gain Calibration

7.9.3.5 Applications and Performance Validation

7.9.3.6 OTA Measurements

7.9.3.7 Power Density Measurements

7.10 Summary

References

Problems

8 Special Topics

8.1 Electrically Small Antennas

8.1.1 The Basics and Impedance Bandwidth Limits

8.1.1.1 Introduction

8.1.1.2 Slope Parameters

8.1.1.3 Impedance Bandwidth and Q factor

8.1.1.4 Fundamental Limits of Antenna Size, Q, and Efficiency

8.1.1.5 The Limits of Bandwidth Broadening

8.1.1.6 Discussions and Conclusions

8.1.2 Antenna Size Reduction Techniques

8.1.2.1 Top Loading

8.1.2.2 Matching

8.1.2.3 Reactive Loading

8.1.2.4 Dielectric Loading

8.1.3 Summary

8.2 Mobile Antennas. 8.2.1 Introduction

8.2.2 Mobile Terminal Antennas. 8.2.2.1 The Radio Frequency Bands

8.2.2.2 Antenna Design Requirements

8.2.2.3 Typical Classical Mobile Antennas

Monopoles

Helical Antennas

Monopole‐Like Antennas

Inverted F Antennas and Planar Inverted F Antennas

8.2.2.4 Typical Smartphone Antennas

8.2.2.5 The Effect of the PCB

8.2.2.6 Specific Absorption Rate (SAR)

8.2.3 Multipath and Antenna Diversity. 8.2.3.1 Multipath and Mean Effective Gain

8.2.3.2 Antenna Diversity

Polarization Diversity

Spatial Diversity

Radiation Pattern Diversity

8.2.3.3 Combining Methods

Switched Combining (SWC)

Selection Combining (SC)

Equal Gain Combining (EGC)

Maximal Ratio Combining (MRC)

8.2.3.4 The Effect of Branch Correlation

8.2.3.5 The Effect of Unequal Branch Powers

8.2.3.6 Examples of Diversity Antennas

8.2.4 User Interaction. 8.2.4.1 Introduction

8.2.4.2 Body Materials

8.2.4.3 Typical Losses

8.2.5 Mobile Base‐Station Antennas

8.2.5.1 Outdoor Base‐Station Antennas

Sectorial Antennas

Omni‐directional Antennas

8.2.5.2 Indoor Base‐Station Antennas

8.2.6 Summary

8.3 Multiple‐Input Multiple‐Output (MIMO) Antennas

8.3.1 MIMO Basics

8.3.2 MIMO Antennas and Key Parameters

8.3.2.1 Mutual Coupling/Isolation

8.3.2.2 Envelope Correlation Coefficient (ECC)

8.3.2.3 Diversity Gain

8.3.2.4 Total Active Reflection Coefficient (TARC)

8.3.3 MIMO Antenna Designs

8.3.4 Summary

8.4 Multiband and Wideband Antennas. 8.4.1 Introduction

8.4.2 Multiband Antennas. 8.4.2.1 Techniques

Higher Order Resonances

Resonant Traps

Combined Resonant Structures

Parasitic Resonators

8.4.2.2 Examples

8.4.3 Wideband Antennas

8.4.4 Summary

8.5 RFID Antennas. 8.5.1 Introduction

8.5.2 Near Field Systems

8.5.3 Far‐Field Systems

8.5.4 Summary

8.6 Reconfigurable Antennas. 8.6.1 Introduction

8.6.2 Switch and Variable Component Technologies

8.6.3 Resonant Mode Switching/Tuning

8.6.4 Feed Network Switching/Tuning

8.6.5 Mechanical Reconfiguration

8.6.6 Liquid Reconfigurable Antennas

8.6.7 Discussion and Summary

8.7 Automotive Antennas

8.7.1 Introduction

8.7.2 Antenna Designs. 8.7.2.1 AM/FM/DAB Radios

8.7.2.2 Shark‐Fin Module

8.7.3 24 GHz and 77 GHz Radar

TPMS

8.7.4 Summary

8.8 Reflector Antennas

8.8.1 Fundamentals of Reflector Design

8.8.2 Feed Design

8.8.3 Dual and Multiple Reflector Designs. 8.8.3.1 Dual Reflector Designs

8.8.3.2 Multiple Reflector Designs

8.8.4 Blockage Effects

8.8.4.1 Offset Reflectors

8.8.5 Overview of Reflector Analysis

8.8.5.1 Physical Optics, GTD and PTD

8.8.5.2 Reflector Shaping

8.8.5.3 Reducing Sidelobe Levels

8.8.5.4 Dual Reflector Synthesis

8.8.5.5 Single Reflector Synthesis

8.8.5.6 Array‐Fed Antennas

8.8.6 Summary

8.9 Chapter Summary

References

Note

Index. A

B

C

D

E

F

G

H

I

L

M

N

O

P

Q

R

S

T

U

V

W

Y

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Second Edition

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Radio waves, lights, and X‐ray (f = 1016 to 1019 Hz) are EM waves at different frequencies although they seem to be very different. One thing that all the forms of EM waves have in common is that they can travel through empty space (vacuum). This is not true for other kinds of waves; sound waves, for example, need some kind of material, such as air or water, in which to move. EM energy is carried by photons, the energy of a photon (also called quantum energy) is hf, where h is Planck’s constant = 6.63 × 10−34 Js, and f is frequency in Hz. The higher the frequency, the more the energy of a photon. X‐Ray has been used for imaging just because of its high frequency: it carries very high energy and can penetrate through most objects. Also due to this high energy, X‐ray can kill our cells and cause ionizing radiation that is not safe for our health. However, lights and radio waves operate at lower frequencies and do not have such a problem.

Logarithmic scales are widely used in RF (radio frequency) engineering and antennas community since the signals we are dealing with change significantly (over 1000 times in many cases) in terms of the magnitude. The signal power is normally expressed in dB (decibel), which is defined as

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