Wen Geyi

Foundations of Antenna Radiation Theory (eBook, ePUB)

Eigenmode Analysis

• Format: ePub

Produktbeschreibung

Foundations of Antenna Radiation Theory Understand 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.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 448
• Erscheinungstermin: 24. März 2023
• Englisch
• ISBN-13: 9781394170876
• Artikelnr.: 67738251

Autorenporträt

Professor Wen Geyi is a Fellow of the IEEE. He has published very widely on theories of microwaves and antennas. He has authored four books and over 100 journal publications and holds more than 40 patents.

Inhaltsangabe

About the Author xi

Preface xiii

1 Eigenvalue Theory 1

1.1 Maxwell Equations 3

1.1.1 Wave Equations 3

1.1.2 Properties of Electromagnetic Fields 6

1.1.2.1 Superposition Theorem 7

1.1.2.2 Conservation of Electromagnetic Field Energy 7

1.1.2.3 Equivalence Theorem 12

1.1.2.4 Reciprocity 13

1.2 Methods for Partial Differential Equations 14

1.2.1 Method of Separation of Variables 14

1.2.1.1 Rectangular Coordinate System 15

1.2.1.2 Cylindrical Coordinate System 16

1.2.1.3 Spherical Coordinate System 19

1.2.2 Method of Green's Function 21

1.2.2.1 Green's Functions for Helmholtz Equation 22

1.2.2.2 Dyadic Green's Functions and Integral Representations 24

1.2.3 Variational Method 27

1.3 Eigenvalue Problem for Hermitian Matrix 29

1.3.1 Properties 29

1.3.2 Rayleigh Quotient 30

1.4 Eigenvalue Problems for the Laplace Operator on Scalar Field 32

1.4.1 Rayleigh Quotient 32

1.4.2 Properties of Eigenvalues 36

1.4.3 Completeness of Eigenfunctions 38

1.4.4 Differential Equations with Variable Coefficients 39

1.4.5 Green's Function and Spectral Representation 41

1.5 Eigenvalue Problems for the Laplace Operator on Vector Field 44

1.5.1 Rayleigh Quotient 45

1.5.2 Completeness of Vector Modal Functions 48

1.5.3 Classification of Vector Modal Functions 54

1.6 Ritz Method for the Solution of Eigenvalue Problem 55

1.7 Helmholtz Theorems 57

1.7.1 Helmholtz Theorem for the Field in Infinite Space 57

1.7.2 Helmholtz Theorem for the Field in Finite Region 59

1.7.3 Helmholtz Theorem for Time-Dependent Field 60

1.8 Curl Operator 61

1.8.1 Eigenfunctions of Curl Operator 62

1.8.2 Plane-Wave Expansions for the Fields and Dyadic Green's Functions 64

References 66

2 Radiation in Waveguide 69

2.1 Vector Modal Functions for Waveguide 70

2.1.1 Classification of Vector Modal Functions 71

2.1.2 Vector Modal Functions for Typical Waveguides 75

2.1.2.1 Rectangular Waveguide 75

2.1.2.2 Circular Waveguide 76

2.1.2.3 Coaxial Waveguide 77

2.2 Radiated Fields in Waveguide 79

2.2.1 Modal Expansions for the Fields and Dyadic Green's Functions 79

2.2.2 Dyadic Green's Functions for Semi-infinite Waveguide 91

2.3 Waveguide Discontinuities 92

2.3.1 Excitation of Waveguide 92

2.3.2 Conducting Obstacles in Waveguide 95

2.3.3 Coupling by Small Aperture 97

2.4 Transient Fields in Waveguide 102

References 107

3 Radiation in Cavity Resonator 109

3.1 Radiated Fields in Cavity Resonator 110

3.1.1 Classification of Vector Modal Functions for Cavity Resonator 111

3.1.2 Modal Expansions for the Fields and Dyadic Green's Functions 114

3.2 Cavity with Openings 117

3.2.1 Cavity with One Port 118

3.2.2 Cavity with Two Ports 120

3.3 Waveguide Cavity Resonator 125

3.3.1 Field Expansions by Vector Modal Functions of Waveguide 125

3.3.2 Modal Representations of Dyadic Green's Functions 133

3.4 Vector Modal Functions for Typical Waveguide Cavity Resonators 136

3.4.1 Rectangular Waveguide Cavity 136

3.4.2 Circular Waveguide Cavity 137

3.4.3 Coaxial Waveguide Cavity 139

3.5 Radiation in Waveguide Revisited 140

3.6 Transient Fields in Cavity Resonator 141

References 149