Fundamentals of Aperture Antennas and Arrays

From Theory to Design, Fabrication and Testing
Wiley (Verlag)
  • erschienen am 2. November 2015
  • |
  • 448 Seiten
E-Book | ePUB mit Adobe DRM | Systemvoraussetzungen
978-1-118-92354-2 (ISBN)
This book is intended as an advanced text for courses in antennas, with a focus on the mature but vital background field of aperture antennas. The book is aimed at final year, MSc, PhD and Post-Doctoral students, as well as readers who are moving from academia into industry, beginning careers as wireless engineers, system designers, in R&D, or for practising engineers.
It assumes the reader has undertaken an earlier course of study on Maxwell's equations, fields and waves. Some of these topics are summarised in the early few chapters in order to provide continuity and background for the remaining chapters. The aperture antennas covered include the main types of horns, reflectors and arrays as well as microstrip patches, reflectarrays and lenses. To provide more than a superficial treatment of arrays, the topic of mutual coupling is covered in greater detail than most similar books in the area. Also included is an introduction to arrays on non-planar surfaces, which is of importance for applications that involve curved surfaces such as in aerodynamics or for making aperture antennas unobtrusive. A chapter is included on some modern aperture antennas to illustrate design techniques beyond the most common types of aperture antennas described in the early chapters. This is to show where advances have recently been made and where they could be improved in the future. Also included are selected topics of a practical nature for aperture antennas, namely fabrication and measurement.
1. Auflage
  • Englisch
  • Newark, NJ
  • |
  • Großbritannien
John Wiley & Sons
  • 44,01 MB
978-1-118-92354-2 (9781118923542)
1118923545 (1118923545)
weitere Ausgaben werden ermittelt
Trevor S. Bird PhD, FTSE, Principal Antengenuity, Adjunct Professor Macquarie University & Honorary CSIRO Fellow, Australia.
  • Intro
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Acknowledgement
  • Chapter 1 Introduction
  • References
  • Chapter 2 Background Theory
  • 2.1 Maxwell´s Equations for Time-Harmonic Fields
  • 2.1.1 Field Representation in Terms of Axial Field Components in Source-Free Regions
  • 2.1.2 Boundary Conditions
  • 2.1.3 Poynting´s Theorem
  • 2.1.4 Reciprocity
  • 2.1.5 Duality
  • 2.1.6 Method of Images
  • 2.1.7 Geometric Optics
  • 2.2 Equivalent Sources
  • 2.2.1 Aperture in a Ground Plane
  • 2.2.2 Conformal Surfaces
  • 2.3 Radiation
  • 2.3.1 Near-Field
  • 2.3.2 Far-Field
  • 2.3.3 Mutual Coupling Between Infinitesimal Current Elements
  • 2.4 Problems
  • References
  • Chapter 3 Fields Radiated by an Aperture
  • 3.1 Radiation Equations
  • 3.2 Near-Field Region
  • 3.3 Fresnel Zone
  • 3.4 Far-Field Region
  • 3.4.1 Example of a Uniformly Illuminated Rectangular Aperture
  • 3.5 Radiation Characteristics
  • 3.5.1 Radiation Pattern
  • 3.5.2 Half-Power Beamwidth
  • 3.5.3 Front-to-Back Ratio
  • 3.5.4 Polarization
  • 3.5.5 Phase Centre
  • 3.5.6 Antenna Gain and Directivity
  • 3.5.7 Effective Aperture
  • 3.5.8 Radiation Resistance
  • 3.5.9 Input Impedance
  • 3.5.10 Antenna as a Receiver
  • 3.6 Aberrations
  • 3.7 Power Coupling Theorem
  • 3.8 Field Analysis by High-Frequency Methods
  • 3.8.1 Asymptotic Physical Optics
  • Example: Scattering Radiation from Large Conducting Wire Loop
  • Special Case: APO in Two Dimensions
  • 3.8.2 Geometrical Theory of Diffraction
  • 3.9 Problems
  • References
  • Chapter 4 Waveguide and Horn Antennas
  • 4.1 Introduction
  • 4.2 Radiation from Rectangular Waveguide
  • 4.3 Pyramidal Horn
  • 4.3.1 Design of a Standard Gain Pyramidal Horn
  • 4.3.2 Dielectric-Loaded Rectangular Horn
  • 4.4 Circular Waveguides and Horns
  • 4.4.1 Circular Waveguide
  • Matching at a Circular Aperture
  • 4.4.2 Coaxial Waveguide
  • Matching of a Coaxial Aperture
  • Coaxial Apertures with an Extended Central Conductor
  • 4.4.3 Conical Horn
  • 4.4.4 Corrugated Radiators
  • 4.4.5 Cross-Polarization
  • 4.5 Advanced Horn Analysis Topics
  • 4.5.1 Flange Effects
  • 4.5.2 Mode Matching in Horns
  • 4.5.3 Profiled Horns
  • Optimization
  • Parametric Profiles
  • 4.6 Problems
  • References
  • Chapter 5 Microstrip Patch Antenna
  • 5.1 Introduction
  • 5.2 Microstrip Patch Aperture Model
  • 5.3 Microstrip Patch on a Cylinder
  • 5.4 Problems
  • References
  • Chapter 6 Reflector Antennas
  • 6.1 Introduction
  • 6.2 Radiation from a Paraboloidal Reflector
  • 6.2.1 Geometric Optics Method for a Reflector
  • Dipole Feed
  • Circular Waveguides and Horn Feeds
  • 6.2.2 Edge Taper and Edge Illumination
  • 6.2.3 Induced Current Method
  • Radiation from Symmetrical Reflectors with General Profile
  • Spherical Reflector
  • 6.2.4 Receive-Mode Method
  • 6.3 Focal Region Fields of a Paraboloidal Reflector
  • 6.3.1 Asymptotic Representation of the Scattered Field
  • 6.4 Blockage
  • 6.5 Reflector Antenna Efficiency
  • 6.6 Reflector Surface Errors
  • 6.7 Offset-fed Parabolic Reflector
  • 6.8 Cassegrain Antenna
  • 6.8.1 Classical Cassegrain
  • 6.8.2 Offset Cassegrain Antenna
  • 6.9 Shaped Reflectors
  • 6.9.1 Reflector Synthesis by Geometric Optics
  • 6.9.2 Reflector Synthesis by Numerical Optimization
  • 6.10 Problems
  • References
  • Chapter 7 Arrays of Aperture Antennas
  • 7.1 Introduction
  • 7.2 Two-Dimensional Planar Arrays
  • 7.2.1 Rectangular Planar Array
  • 7.2.2 Hexagonal Array
  • 7.3 Mutual Coupling in Aperture Antennas
  • 7.3.1 Infinite Periodic Arrays
  • 7.3.2 Finite Arrays
  • 7.3.3 Mutual Impedance and Scattering Matrix Representation
  • 7.3.4 Analysis of Arrays of Aperture Antennas by Integral Equation Methods
  • Moment Method Approach
  • Mode Matching in Arrays
  • 7.3.5 Mutual Coupling Analysis in Waveguide Apertures
  • Rectangular Waveguide Arrays
  • Self-Admittance of TE10 Mode
  • Arrays of Circular and Coaxial Waveguides
  • Self-Admittance of TE11 Mode in Circular Waveguide
  • Mutual Coupling in Other Geometries
  • Waveguide-Fed Slot Arrays
  • Arrays of Microstrip Patches
  • A Numerical Formulation of Coupling in Arbitrary Shaped Apertures
  • 7.3.6 An Asymptotic Expression for Mutual Admittance
  • 7.3.7 Radiation from Finite Arrays with Mutual Coupling
  • 7.4 Techniques for Minimizing Effects of Mutual Coupling
  • 7.4.1 Element Spacing
  • 7.4.2 Aperture Field Taper
  • 7.4.3 Electromagnetic Fences
  • 7.4.4 Mutual Coupling Compensation
  • 7.4.5 Power Pattern Synthesis Including the Effect of Mutual Coupling
  • 7.5 Low-Sidelobe Arrays and Shaped Beams
  • 7.6 Problems
  • References
  • Chapter 8 Conformal Arrays of Aperture Antennas
  • 8.1 Introduction
  • 8.2 Radiation from a Conformal Aperture Array
  • 8.2.1 Waveguide with E-Field Polarized in Circumferential Direction
  • 8.2.2 Waveguide with E-Polarized in Axial Direction
  • 8.2.3 Historical Overview of Asymptotic Solutions for Conformal Surfaces
  • 8.3 Mutual Coupling in Conformal Arrays
  • 8.3.1 Asymptotic Solution for Surface Dyadic
  • 8.4 Coupling in a Concave Array: Periodic Solution
  • 8.5 Problems
  • References
  • Chapter 9 Reflectarrays and Other Aperture Antennas
  • 9.1 Introduction
  • 9.2 Basic Theory of Reflectarrays
  • 9.3 Extensions to the Basic Theory
  • 9.4 Other Aperture Antennas
  • 9.4.1 Lenses
  • 9.4.2 Fabry-Pérot Resonator Antennas
  • 9.5 Problems
  • References
  • Chapter 10 Aperture Antennas in Application
  • 10.1 Fabrication
  • 10.1.1 Machining
  • 10.1.2 Printing
  • 10.1.3 Mould Formation
  • 10.1.4 Electroforming
  • 10.1.5 Lightweight Construction
  • 10.1.6 Pressing and Stretch Forming of Reflector Surfaces
  • 10.1.7 Assembly and Alignment
  • 10.2 Measurement and Testing
  • 10.2.1 Far-Field Measurement
  • 10.2.2 Near-Field Measurement
  • 10.2.3 Intermediate-Field Measurement
  • 10.3 Modern Aperture Antennas
  • 10.3.1 Compact Low-Sidelobe Horns
  • 10.3.2 Multibeam Earth Station
  • 10.3.3 Radio Telescopes
  • 10.4 Problems
  • References
  • Appendix A Useful Identities
  • A.1 Vector Identities
  • A.2 Geometric Identities
  • A.3 Transverse Representation of the Electromagnetic Field
  • A.4 Useful Functions
  • References
  • Appendix B Bessel Functions
  • B.1 Properties
  • B.2 Computation of Bessel Functions
  • References
  • Appendix C Proof of Stationary Behaviour of Mutual Impedance
  • Appendix D Free-Space Dyadic Magnetic Green´s Function
  • Reference
  • Appendix E Complex Fresnel Integrals
  • References
  • Appendix F Properties of Hankel Transform Functions
  • References
  • Appendix G Properties of Fock Functions for Convex Surfaces
  • G.1 Surface Fock Functions
  • G.1.1 Soft Surface Functions (m>0)
  • G.1.2 Hard Surface Fock Functions (m
  • G.2 Acoustic Fock Functions
  • G.2.1 Soft Acoustic Fock Function
  • G.2.2 Hard Acoustic Fock Function
  • References
  • Index
  • EULA


The topic of this book covers a class of antenna in common use today as well as a way of describing many others. Examples include waveguides, horns, reflectors, lenses, slits, slots and printed antennas. Some examples are illustrated in Figure 1.1. In the following chapters, the background theory and application of some basic forms of these antennas are described as well as how they can be designed, fabricated and tested. Additionally, detail will be provided on some of the individual antennas pictured in Figure 1.1.

Figure 1.1 Examples of aperture antennas. (a) Open-ended waveguide antennas (right to left) coaxial, circular and rectangular. (b) Circular waveguide (diameter 32.7?mm) with three ring-slots designed for operation at 9?GHz. (c) Feed array of pyramidal horns for 12.25-12.75?GHz. (d) 11-14.5?GHz high-performance circular corrugated feed horn, diameter 273?mm, and flare angle 11.8°. (e) Small paraboloidal reflector and rear waveguide feed designed for a 15?GHz microwave link. (f) 64?m Parkes radio telescope is a front-fed paraboloid (f/D?=?0.408). This versatile instrument has been used for frequencies from 30?MHz to >90?GHz.

Source: Reproduced with permission from CSIRO (a-f)

(g) Two multibeam earth station antennas at Danish Radio's multimedia house in Ørestad in Copenhagen, Denmark, covering different segments of the geostationary satellite arc. (h) Multibeam feed system for the Parkes radio telescope.

Source: Reproduced with permission from CSIRO.

(i) On-board Ku-band satellite antennas under test on an outdoor test range prior to launch. (j) Dual-offset Cassegrain antenna with a waveguide array feed cluster under test in anechoic chamber (Bird & Boomars, 1980). (k) Series-fed microstrip patch array for a microwave landing system.

Source: Reproduced from INTERSCAN International Ltd.

(l) Conformal array of rectangular waveguides (22.86?×?10.16?mm) on a cylinder of radius 126.24?mm.

Source: Picture courtesy of Plessey Electronic Systems

Aperture antennas are normally associated with directional radiation beams and, indeed, this is their purpose in many applications. They can also create other types of beams such as shaped or contoured beams either separately or combined as arrays as will be shown. Aperture antennas can also occur on non-planar or conformal surfaces such as on aircraft or missile bodies where airflow and aerodynamic performance are paramount. Conformal antennas can consist of a single radiator or arrays in the surface where they can be used to provide directional and shaped beams.

Aperture antennas can be used to produce omnidirectional radiation patterns, which are important if the antenna platform is unstable or the user direction is unknown, for all-round electronic surveillance and monitoring or where the location of another user cannot be guaranteed such as in mobile radio systems. A 360-degree coverage can be achieved with a conformal antenna or with electronic switching between planar elements.

Directional beams are required in terrestrial and satellite microwave links to efficiently use the available power as well as to reduce interference and noise. Directional antennas are also required in radar systems to identify targets. A limitation of a directional planar antenna is that when it is scanned from broadside (typically boresight) the beam broadens and the pattern deteriorates. When the antenna is conformal to a convex surface, such as a cylinder or a cone, the beam can be scanned in discrete steps through an arc while maintaining a constant pattern. Recent developments in microwave and optical components have simplified the design of feed networks, thereby making conformal antennas and arrays attractive alternatives for directive applications as well as for scanned beam and in ultra-low sidelobe antennas. Of importance in the design of the latter, both planar and conformal antenna arrays are often employed, and in this application predicting the effect of mutual coupling between the array elements should be undertaken. Maximum performance is achieved from arrays when the effects of coupling are known and included in the design. Otherwise, the full potential of the array flexibility may not be realized.

Aperture antennas may be analysed in much the same way as the conceptually simpler wire antennas. First, the designer needs to find the currents on the conductors or in other materials from which the antenna is constructed. To do this exactly is usually impossible except in a few idealized cases, and numerical methods are required to obtain approximate solutions. After the currents are known, the radiated fields are obtained from Maxwell's equations. Sometimes, however, adequate design information may be obtained from simplified approximations to the current, similar in some regards to adopting a sinusoidal current approximation on a linear wire antenna. This approach is especially valuable for analysing the far-field radiation characteristics, which are relatively insensitive to second-order variations in the current distribution. However, for more detailed information or quantities such as the input impedance, reflection coefficient at the input of horns or the effects of mutual coupling from nearby antennas, an accurate representation of the currents is usually required to properly take account of the current variations and near-field behaviour.

The representation of actual currents on the antenna structure may be difficult, or impossible, to achieve analytically because of the geometry and materials involved. It is convenient, and also physically allowable, to replace the actual sources by equivalent sources at the radiating surface, the antenna 'aperture', which need not lie on the actual antenna surface but on another often fictitious surface close by. For example, the aperture of a paraboloid reflector may be the projection of the rim onto a suitable plane. These equivalent sources are used in the same way as actual sources to find the radiated fields. Once these fields are known, an assessment of the antenna's performance can be made.

For the engineer wishing to specialize in the area of communications systems, some knowledge is needed of the theory and design of aperture antennas. The intention of this book is to provide some of this basic information. Today, compared with prior to the 1980s and even earlier, a variety of full wave computer solvers are now available and are particularly valuable for final design and analysis. The fundamental material available in this book is important as a starting point and for understanding the physical nature of the antenna structure before more detailed design is undertaken. It is intended that readers should be able to move from the present material to more specialized topics and to the research literature. In addition, the details provided herein should help the non-specialist in antennas to critically assess aperture antenna specifications. Where possible, useful design information has also been included. An underlying assumption is that the reader is familiar with the basic concepts of electromagnetic fields, waves and radiation, as presented, in a variety of excellent textbooks (Harrington, 1961; Jones, 1964; Jordan & Balmain, 1968; Kraus & Carver, 1973; Johnk, 1975). Some topics of a more advanced nature have also been included here, beyond those of a typical introductory course. These are indicated by an asterisk (*) after the section heading. They have been included as possible extensions from standard material for more specialized courses, research or possibly part of a project.

The material included here is based on notes for several courses in antennas given to fourth year students in Electrical Engineering at James Cook University of North Queensland and also at the University of Queensland in the 1980s. At that time there was no suitable modern textbook available on antennas for undergraduate teaching. Since then, several excellent textbooks have appeared (Balanis, 1982). In addition, the notes were found useful over the years by members of my research group at CSIRO. Other relevant material had been developed on mutual coupling for presentation at several symposia held in the 1990s, and some of this information has been included here. As might be anticipated, practical topics of relevance that were encountered during my research career have been included as well.

The purpose of this book is to provide a stand-alone textbook for a course in antennas, possibly in the final undergraduate years or in a master's degree by coursework. It should also be useful for Ph.D. candidates and practising engineers. For continuity, some background electromagnetics, fields and waves are included.

The antennas described in detail include horns, reflectors, lenses, patch radiators and arrays of some of these antennas. Because of its importance and to provide more than a superficial treatment of arrays, the topic of mutual coupling is covered in greater detail than most similar books in the area. Also included is an introduction to sources and arrays on non-planar surfaces, which is important for applications involving aerodynamic surfaces and for making aperture antennas unobtrusive. An introduction to the fabrication and...

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