Foundations of Antenna Radiation TheoryUnderstand the theory and function of wireless antennas with this comprehensive guide
As wireless technology continues to develop, understanding of antenna properties and performance will only become more critical. Since antennas can be understood as junctions of waveguides, eigenmode analysis―the foundation of waveguide theory, concerned with the unexcited states of systems and their natural resonant characteristics―promises to be a crucial frontier in the study of antenna theory.
Foundations of Antenna Radiation Theory incorporates the modal analysis, generic antenna properties and design methods discovered or developed in the last few decades, not being reflected in most antenna books, into a comprehensive introduction to the theory of antennas. This book puts readers into conversation with the latest research and situates students and researchers at the cutting edge of an important field of wireless technology.
The book also includes:
- Detailed discussions of the solution methods for Maxwell equations and wave equations to provide a theoretical foundation for electromagnetic analysis of antennas
- Recent developments for antenna radiation in closed and open space, modal analysis and field expansions, dyadic Green’s functions, time-domain theory, state-of-the-art antenna array synthesis methods, wireless power transmission systems, and more
- Innovative material derived from the author’s own research
Foundations of Antenna Radiation Theory is ideal for graduate or advanced undergraduate students studying antenna theory, as well as for reference by researchers, engineers, and industry professionals in the areas of wireless technology.
Author(s): Wen Geyi
Series: IEEE Press Series on Electromagnetic Wave Theory
Publisher: Wiley-IEEE Press
Year: 2023
Language: English
Pages: 448
City: Piscataway
Cover
Title Page
Copyright Page
Contents
About the Author
Preface
Chapter 1 Eigenvalue Theory
1.1 Maxwell Equations
1.1.1 Wave Equations
1.1.2 Properties of Electromagnetic Fields
1.1.2.1 Superposition Theorem
1.1.2.2 Conservation of Electromagnetic Field Energy
1.1.2.3 Equivalence Theorem
1.1.2.4 Reciprocity
1.2 Methods for Partial Differential Equations
1.2.1 Method of Separation of Variables
1.2.1.1 Rectangular Coordinate System
1.2.1.2 Cylindrical Coordinate System
1.2.1.3 Spherical Coordinate System
1.2.2 Method of Green’s Function
1.2.2.1 Green’s Functions for Helmholtz Equation
1.2.2.2 Dyadic Green’s Functions and Integral Representations
1.2.3 Variational Method
1.3 Eigenvalue Problem for Hermitian Matrix
1.3.1 Properties
1.3.2 Rayleigh Quotient
1.4 Eigenvalue Problems for the Laplace Operator on Scalar Field
1.4.1 Rayleigh Quotient
1.4.2 Properties of Eigenvalues
1.4.3 Completeness of Eigenfunctions
1.4.4 Differential Equations with Variable Coefficients
1.4.5 Green’s Function and Spectral Representation
1.5 Eigenvalue Problems for the Laplace Operator on Vector Field
1.5.1 Rayleigh Quotient
1.5.2 Completeness of Vector Modal Functions
1.5.3 Classification of Vector Modal Functions
1.6 Ritz Method for the Solution of Eigenvalue Problem
1.7 Helmholtz Theorems
1.7.1 Helmholtz Theorem for the Field in Infinite Space
1.7.2 Helmholtz Theorem for the Field in Finite Region
1.7.3 Helmholtz Theorem for Time-Dependent Field
1.8 Curl Operator
1.8.1 Eigenfunctions of Curl Operator
1.8.2 Plane-Wave Expansions for the Fields and Dyadic Green’s Functions
References
Chapter 2 Radiation in Waveguide
2.1 Vector Modal Functions for Waveguide
2.1.1 Classification of Vector Modal Functions
2.1.2 Vector Modal Functions for Typical Waveguides
2.1.2.1 Rectangular Waveguide
2.1.2.2 Circular Waveguide
2.1.2.3 Coaxial Waveguide
2.2 Radiated Fields in Waveguide
2.2.1 Modal Expansions for the Fields and Dyadic Green’s Functions
2.2.2 Dyadic Green’s Functions for Semi-infinite Waveguide
2.3 Waveguide Discontinuities
2.3.1 Excitation of Waveguide
2.3.2 Conducting Obstacles in Waveguide
2.3.3 Coupling by Small Aperture
2.4 Transient Fields in Waveguide
References
Chapter 3 Radiation in Cavity Resonator
3.1 Radiated Fields in Cavity Resonator
3.1.1 Classification of Vector Modal Functions for Cavity Resonator
3.1.2 Modal Expansions for the Fields and Dyadic Green’s Functions
3.2 Cavity with Openings
3.2.1 Cavity with One Port
3.2.2 Cavity with Two Ports
3.3 Waveguide Cavity Resonator
3.3.1 Field Expansions by Vector Modal Functions of Waveguide
3.3.2 Modal Representations of Dyadic Green’s Functions
3.4 Vector Modal Functions for Typical Waveguide Cavity Resonators
3.4.1 Rectangular Waveguide Cavity
3.4.2 Circular Waveguide Cavity
3.4.3 Coaxial Waveguide Cavity
3.5 Radiation in Waveguide Revisited
3.6 Transient Fields in Cavity Resonator
References
Chapter 4 Radiation in Free Space (I): Generic Properties
4.1 Antenna Parameters
4.1.1 Power, Efficiencies, and Input Impedance
4.1.2 Field Regions, Radiation Pattern, Radiation Intensity, Directivity, and Gain
4.1.3 Vector Effective Length, Equivalent Area, and Antenna Factor
4.1.4 Antenna Quality Factor
4.2 Theory of Spherical Waveguide
4.2.1 Vector Modal Functions for Spherical Waveguide
4.2.2 Modal Expansions of Fields and Dyadic Green’s Functions
4.2.3 Properties of Spherical Vector Wave Functions
4.2.4 Far-Zone Fields
4.3 Stored Field Energies and Radiation Quality Factor
4.3.1 Stored Field Energies in General Materials
4.3.2 Stored Field Energies of Antenna
4.3.3 Radiated Field Energy
4.3.4 Evaluation of Radiation Quality Factor
4.4 Modal Quality Factors
4.4.1 Stored Field Energies Outside the Circumscribing Sphere of Antenna
4.4.2 Two Inequalities for Spherical Hankel Functions
4.4.3 Properties of Modal Quality Factors
4.4.3.1 Proof of Properties 2, 4, and 7
4.4.3.2 Proof of Properties 1, 3, 6, 8, and 9
4.4.3.3 Proof of Property 5
4.4.3.4 Proof of Properties 10 and 11
4.4.4 Lower Bound for Antenna Quality Factor
4.5 Upper Bounds for the Products of Gain and Bandwidth
4.5.1 Directive Antenna
4.5.2 OmniDirectional Antenna
4.5.3 Best Possible Antenna Performance-Guidelines for Small Antenna Design
4.6 Expansions of the Radiated Fields in Time Domain
References
Chapter 5 Radiation in Free Space (II): Modal Analysis
5.1 Basic Antenna Types
5.2 Equivalent Current Distributions of Antenna
5.3 Antenna as a Waveguide Junction
5.4 Integral Equation Formulations
5.4.1 Compensation Theorem for Time-Harmonic Fields
5.4.2 Integral Equations for Composite Structure
5.4.3 Integral Equation for Wire Antenna
5.5 Vertical Dipole
5.5.1 Fields in the Region r > b
5.5.2 Fields in the Region r < b
5.6 Horizontal Dipole
5.6.1 Fields in the Region r > b
5.6.2 Fields in the Region r < b
5.7 Loop
5.8 Spherical Dipole
5.9 Dipole Near Conducting Sphere
5.10 Finite Length Wire Antenna
5.10.1 Fields in the Region r > l
5.10.2 The Fields in the Region r < l
5.11 Aperture Antenna
5.12 Microstrip Patch Antenna
5.13 Resonant Modal Theory for Antenna Design
5.13.1 Formulations
5.13.2 Applications
5.13.2.1 Crossed-Dipole
5.13.2.2 Dual-Band Bowtie Antenna
References
Chapter 6 Radiation in Free Space (III): Array Analysis and Synthesis
6.1 Introduction to Array Analysis
6.1.1 Array Factor
6.1.2 Linear Array
6.1.2.1 Linear Array with Uniform Amplitude
6.1.2.2 Linear Array with Nonuniform Amplitude
6.1.3 Circular Array
6.1.4 Planar Array
6.2 Introduction to Array Synthesis with Conventional Methods
6.2.1 Array Factor and Space Factor for Line Source
6.2.2 Schelkunoff Unit Circle Method
6.2.3 Dolph–Chebyshev Method
6.2.4 Fourier Transform Method
6.2.4.1 Continuous Line Source
6.2.4.2 Linear Array
6.3 Power Transmission Between Two Antennas
6.3.1 The General Power Transmission Formula
6.3.2 Power Transmission Between Two Planar Apertures
6.3.3 Power Transmission Between Two Antennas with Large Separation
6.4 Synthesis of Arrays with MMPTE
6.4.1 Power Transmission Between Two Antenna Arrays
6.4.1.1 Unconstrained Optimization
6.4.1.2 Weighted Optimization
6.4.1.3 Constrained Optimization
6.4.2 Applications
6.5 Synthesis of Arrays with EMMPTE
6.5.1 Arrays with Specified Energy Distribution
6.5.2 Arrays with Specified Power Distribution
6.5.3 Applications
References
Appendix A Vector Analysis
Appendix B Dyadic Analysis
Appendix C SI Unit System
Appendix D Unified Theory for Fields (UTF)
Index
EULA
