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Foundations of Antenna Radiation Theory
Eigenmode Analysis

Wen Geyi (Author)

9781394170852, Wiley

Hardback, published 27 March 2023

448 pages
22.9 x 15.2 x 2.7 cm, 0.866 kg

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.

About the Author xi
Preface xiii

1 Eigenvalue Theory 1
1.1 Maxwell Equations 3
1.2 Methods for Partial Differential Equations 14
1.3 Eigenvalue Problem for Hermitian Matrix 29
1.4 Eigenvalue Problems for the Laplace Operator on Scalar Field 32
1.5 Eigenvalue Problems for the Laplace Operator on Vector Field 44
1.6 Ritz Method for the Solution of Eigenvalue Problem 55
1.7 Helmholtz Theorems 57
1.8 Curl Operator 61

2 Radiation in Waveguide 69
2.1 Vector Modal Functions for Waveguide 70
2.2 Radiated Fields in Waveguide 79
2.3 Waveguide Discontinuities 92
2.4 Transient Fields in Waveguide 102

3 Radiation in Cavity Resonator 109
3.1 Radiated Fields in Cavity Resonator 110
3.2 Cavity with Openings 117
3.3 Waveguide Cavity Resonator 125
3.4 Vector Modal Functions for Typical Waveguide Cavity Resonators 136
3.5 Radiation in Waveguide Revisited 140
3.6 Transient Fields in Cavity Resonator 141

4 Radiation in Free Space (I): Generic Properties 151
4.1 Antenna Parameters 152
4.2 Theory of Spherical Waveguide 163
4.3 Stored Field Energies and Radiation Quality Factor 182
4.4 Modal Quality Factors 206
4.5 Upper Bounds for the Products of Gain and Bandwidth 220
4.6 Expansions of the Radiated Fields in Time Domain 230

5 Radiation in Free Space (II): Modal Analysis 243
5.1 Basic Antenna Types 245
5.2 Equivalent Current Distributions of Antenna 246
5.3 Antenna as a Waveguide Junction 249
5.4 Integral Equation Formulations 250
5.5 Vertical Dipole 257
5.6 Horizontal Dipole 261
5.7 Loop 267
5.8 Spherical Dipole 269
5.9 Dipole Near Conducting Sphere 271
5.10 Finite Length Wire Antenna 273
5.11 Aperture Antenna 276
5.12 Microstrip Patch Antenna 280
5.13 Resonant Modal Theory for Antenna Design 290

6 Radiation in Free Space (III): Array Analysis and Synthesis 303
6.1 Introduction to Array Analysis 305
6.2 Introduction to Array Synthesis with Conventional Methods 318
6.3 Power Transmission Between Two Antennas 330
6.4 Synthesis of Arrays with MMPTE 343
6.5 Synthesis of Arrays with EMMPTE 369

References 376
Appendix A Vector Analysis 381
Appendix B Dyadic Analysis 383
Appendix C SI Unit System 385
Appendix D Unified Theory for Fields (UTF) 387
Index 417

Subject Areas: Electronics & communications engineering [TJ]

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