Electromagnetic Sources and Electromagnetic Fields

✍ Scribed by Gaobiao Xiao

• Publisher: Springer
• Year: 2024
• Tongue: English
• Leaves: 348
• Series: Modern Antenna
• Category: Library

✦ Table of Contents

Preface
Contents
About the Author
Abbreviations
1 Basic Concepts in Electromagnetic Radiation
1.1 Electromagnetic Fields in Free Space
1.1.1 Fields and Potentials
1.1.2 Static Fields
1.1.3 Time Harmonic Fields
1.1.4 Hertzian Dipole
1.2 Electromagnetic Energy and Power
1.2.1 Electric Energy and Magnetic Energy in Time Domain
1.2.2 Electric Energy and Magnetic Energy in Frequency Domain
1.2.3 Electromagnetic Radiation Power
1.3 Electromagnetic Momentum
References
2 Q Factor of a Radiator
2.1 Q Factor for Circuits
2.2 Q Factor for Antennas
References
3 Non-relativistic Radiation of a Moving Charge
3.1 Liénard-Wiechert Potential
3.2 Electromagnetic Fields of a Moving Charge
3.3 Radiation Power
3.4 Energy of a Moving Charge
References
4 Spherical Harmonic Expansion
4.1 Spherical Basis Functions
4.1.1 Expansion of Scalar Functions
4.1.2 Expansion of Vector Functions
4.1.3 Reconstructing a Vector from Its Divergence and Curl
4.2 Spherical Harmonic Expansion in Frequency Domain
4.2.1 Governing Equations for Spherical Harmonics
4.2.2 Spherical Harmonic Fields
4.2.3 The Dyadic Green’s Functions
4.2.4 Spherical Harmonic Expansion for Potentials
4.2.5 Electromagnetic Energies and Radiation Powers
4.2.6 Electric Sources and Magnetic Sources
4.2.7 Discussions
4.3 Translation of Spherical Harmonic Fields
4.3.1 Spherical Harmonic Expansion for Arrays
4.3.2 Spherical Harmonic Expansion for Hertzian Dipole
4.4 Spherical Harmonic Expansion for Static Sources
4.4.1 Spherical Basis Functions with Real Values
4.4.2 Spherical Harmonic Expansion for Static Fields
4.4.3 Spherical Harmonic Expansion for Static Potentials
4.5 Spherical Harmonic Expansion in Time Domain
4.5.1 Time Domain Governing Equations for Spherical Harmonics
4.5.2 Time Domain Green’s Function for Spherical Harmonics
4.6 Spherical Harmonic Expansion in Radially-Nonuniform Media
References
5 Nonuniform Transmission Line Model
5.1 Chu’s Equivalent Circuit Model
5.2 NTL Model in Frequency Domain
5.2.1 Basic Structure of the NTL Model in Free Space
5.2.2 Other Parameters of the NTL Model
5.2.3 FDFD Algorithm for Solving the Telegraphers’ Equations
5.3 NTL Model in Time Domain
5.3.1 Time Domain Equivalent Lumped Element Circuit Model
5.3.2 FDTD Algorithm for Solving the Telegraphers’ Equations
5.4 NTL Model in Radially Varying Media
5.5 NTL Model for Lossy Media
References
6 Pulse Radiator in Free Space
6.1 Separation of the Electromagnetic Energy
6.1.1 Energy Separation Formulation
6.1.2 The Macroscopic Schott Energy of a Moving Charge
6.2 Explicit Expressions for Electromagnetic Energies
6.3 Electromagnetic Power of a Pulse Radiator
6.4 Mutual Electromagnetic Couplings
6.4.1 Electromagnetic Couplings Among Multiple Radiators
6.4.2 Application for Interpreting the Aharonov-Bohm Effect
6.5 Electromagnetic Energies of Time Harmonic Sources
6.5.1 General Expressions in Terms of Fields
6.5.2 Explicit Expressions in Terms of Sources
6.6 Typical Radiators
6.6.1 Hertzian Dipole
6.6.2 Solenoidal Loop Current
6.6.3 Thin Plate Yagi Antenna
6.6.4 Discussions
6.7 Q Factors of Antennas
6.7.1 Conventional Methods
6.7.2 Calculation of Q Factors of Antennas
6.7.3 Numerical Examples
References
7 Synthesis of Far Field Patterns
7.1 Electromagnetic Far Field in Free Space
7.2 Methods for Synthesis of Far Field Patterns
7.2.1 Pattern Synthesis with Optimization Method
7.2.2 Direct Pattern Synthesis Method
7.2.3 Continuous Array Factor and Discrete Array Factor
7.2.4 Hybrid Method for Synthesis of Array Factor
7.3 Pattern Synthesis for Line Source
7.4 Pattern Synthesis for Rectangular Planar Source
7.4.1 Pattern Synthesis with a Single Current Sheet
7.4.2 Synthesis of Non-Mirror Symmetrical Pattern
7.5 Pattern Synthesis for Current on a Spherical Surface
7.6 Summary
References
8 Electromagnetic Inverse Source Problems
8.1 General Principles for Inverse Source Problems
8.1.1 Electric Fields of Sources in Bounded Region
8.1.2 Effective NDFs of the Near Fields
8.1.3 Numerical Algorithm for Reconstructing Current Sources
8.2 Discrete Hertzian Dipole Array
8.3 Reconstruction of Planar Sources from Far Field
8.3.1 Standard Reconstruction Algorithm for Current Sheet
8.3.2 Partial Sampling Algorithm for Current Sheets
8.4 Discussions
References
Subject Index