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Contents
Part IElectromagnetics of Bounded Simple Media
1.Electromagnetics of Simple Media
1.3Time-Domain Electromagnetics
1.3.1Radiation by an Impulse Current Source
1.5Quasistatic and Static Approximations
1.6Maxwell’s Equations in Integral Form and Circuit Parameters
2.Electromagnetics of Simple Media: One-Dimensional Solution
2.1Uniform Plane Waves in Sourceless Medium (ρV = 0, Jsource = 0)
2.2Good Conductor Approximation
2.3Uniform Plane Wave in a Good Conductor: Skin Effect
2.4Boundary Conditions at the Interface of a Perfect Electric Conductor with a Dielectric
2.6AC Resistance of Round Wires
2.7Voltage and Current Harmonic Waves: Transmission Lines
2.9Electromagnetic Wave Polarization
2.10Arbitrary Direction of Propagation
2.12Incidence of p Wave: Parallel-Polarized
2.13Incidence of s Wave: Perpendicular-Polarized
2.14Critical Angle and Surface Wave
2.15One-Dimensional Cylindrical Wave and Bessel Functions
3.Two-Dimensional Problems and Waveguides
3.1Two-Dimensional Solutions in Cartesian Coordinates
3.2TMmn Modes in a Rectangular Waveguide
3.3TEmn Modes in a Rectangular Waveguide
3.4Dominant Mode in a Rectangular Waveguide: TE10 Mode
3.5Power Flow in a Waveguide: TE10 Mode
3.6Attenuation of TE10 Mode due to Imperfect Conductors and Dielectric Medium
3.7Cylindrical Waveguide: TM Modes
3.8Cylindrical Waveguide: TE Modes
3.10Dielectric Cylindrical Waveguide: Optical Fiber
4.1Rectangular Cavity with PEC Boundaries: TM Modes
4.2Rectangular Cavity with PEC Boundaries: TE Modes
5.Spherical Waves and Applications
5.1Half-Integral Bessel Functions
5.2Solutions of Scalar Helmholtz Equation
6.Laplace Equation: Static and Low-Frequency Approximations
6.2.2Circular Cylindrical Coordinates
7.Miscellaneous Topics on Waves
7.4Stop Bands of a Periodic Media
7.5.3Dipoles of Arbitrary Length
7.5.4Shaping the Radiation Pattern
7.5.5Antenna Problem as a Boundary Value Problem
7.5.6Traveling Wave Antenna and Cerenkov Radiation
7.5.7Small Circular Loop Antenna
7.5.8Other Practical Radiating Systems
7.6.1Cylindrical Wave Transformations
7.6.2Calculation of Current Induced on the Cylinder
7.7.1Magnetic Current and Electric Vector Potential
7.7.2Far-Zone Fields and Radiation Intensity
7.7.3Elemental Plane Wave Source and Radiation Intensity
7.7.4Diffraction by the Circular Hole
Part IIElectromagnetic Equations of Complex Media
8.Electromagnetic Modeling of Complex Materials
8.2Frequency-Dependent Dielectric Constant
8.3.1Case 1: ω < ν and (Low-Frequency Region)
8.3.2Case 2: ν < ω < ωp (Intermediate-Frequency Region)
8.3.3Case 3: ω > ωp (High-Frequency Region)
8.5Polarizability of Dielectrics
8.7Good Conductors and Semiconductors
8.8Perfect Conductors and Superconductors
8.11Plasmonics and Metamaterials
9.Waves in Isotropic Cold Plasma: Dispersive Medium
9.2Dielectric–Dielectric Spatial Boundary
9.3Reflection by a Plasma Half-Space
9.4Reflection by a Plasma Slab
9.5Tunneling of Power through a Plasma Slab
9.9Transient Response of a Plasma Half-Space
9.9.1Isotropic Plasma Half-Space s Wave
9.9.2Impulse Response of Several Other Cases Including Plasma Slab
10.Spatial Dispersion and Warm Plasma
10.1Waves in a Compressible Gas
10.3Constitutive Relation for a Lossy Warm Plasma
10.4Dielectric Model of Warm Loss-Free Plasma
10.5Conductor Model of Warm Lossy Plasma
10.6Spatial Dispersion and Nonlocal Metal Optics
10.7Technical Definition of Plasma State
10.7.2Debye Length, Collective Behavior, and Overall Charge Neutrality
11.Wave in Anisotropic Media and Magnetoplasma
11.2Basic Field Equations for a Cold Anisotropic Plasma Medium
11.3One-Dimensional Equations: Longitudinal Propagation and L and R Waves
11.4One-Dimensional Equations: Transverse Propagation—O Wave
11.5One-Dimensional Solution: Transverse Propagation—X Wave
11.6Dielectric Tensor of a Lossy Magnetoplasma Medium
11.7Periodic Layers of Magnetoplasma
11.9Surface Magnetoplasmons in Periodic Media
11.11Reflection by a Warm Magnetoplasma Slab
12.Optical Waves in Anisotropic Crystals
12.1Wave Propagation in a Biaxial Crystal along the Principal Axes
12.2Propagation in an Arbitrary Direction
12.3Propagation in an Arbitrary Direction: Uniaxial Crystal
12.5Group Velocity as a Function of Polar Angle
12.6Reflection by an Anisotropic Half-Space
13.2Transients on Bounded Ideal Transmission Lines
13.2.1Step Response for Resistive Terminations
13.2.2Response to a Rectangular Pulse
13.2.3Response to a Pulse with a Rise Time and Fall Time
13.2.4Source with Rise Time: Response to Reactive Load Terminations
13.2.5Response to Nonlinear Terminations
13.2.6Practical Applications of the Theory
13.3Transients on Lossy Transmission Lines
13.3.1Solution Using the Laplace Transform Technique
13.4Direct Solution in Time Domain: Klein–Gordon Equation
13.4.1Examples of Klein–Gordon Equation
13.5Nonlinear Transmission Line Equations and KdV Equation
13.5.1Korteweg-de-Vries (KdV) Equation and Its Solution
13.5.2KdV Approximation of NLTL Equation
13.6.3Conservation of Particle Energy due to Stationary Electric and Magnetic Fields
13.6.4Constant Electric and Magnetic Fields
13.6.5Constant Gravitational Field and Magnetic Field
13.6.6Drift Velocity in Nonuniform B Field
13.6.7Time-Varying Fields and Adiabatic Invariants
13.6.8Lagrange and Hamiltonian Formulations of Equations of Motion
13.6.8.1Hamiltonian Formulation
13.6.8.3Space and Time Refraction Explained through Photon Theory
13.7Nuclear Electromagnetic Pulse and Time-Varying Conducting Medium
13.8Magnetohydrodynamics (MHD)
13.8.1Evolution of the B Field
13.9Time-Varying Electromagnetic Medium
13.9.1Frequency Change due to a Temporal Discontinuity in the Medium Properties
13.9.2Effect of Switching an Unbounded Isotropic Plasma Medium
13.9.2.1Sudden Creation of an Unbounded Plasma Medium
13.9.3Sudden Creation of a Plasma Slab
13.9.4Time-Varying Magnetoplasma Medium
13.9.4.5Frequency-Shifting Characteristics of Various R Waves
13.9.5Modeling of Building Up Plasma versus Collapsing Plasma
13.9.5.1Building Up Magnetoplasma
13.9.5.2Collapsing Magnetoplasma
13.9.6.1Application: Frequency Transformer 10–1000 GHz
13.9.7Subcycle Time-Varying Medium
13.9.8Periodically Time-Varying Parameter, Mathieu Equation, and Parametric Resonance
13.10Statistical Mechanics and Boltzmann Equation
13.10.1Maxwell Distribution and Kinetic Definition of Temperature T
13.10.3Boltzmann–Vlasov Equation
13.10.4Krook Model for Collisions
13.10.5Isotropic Dielectric Constant of Plasma
13.10.6Plasma Dispersion Function and Landau Damping
14.Electromagnetics of Moving Media: Uniform Motion
14.5Lorentz Scalars, Vectors, and Tensors
14.6Electromagnetic Equations in Four-Dimensional Space
14.7Lorentz Transformation of the Electromagnetic Fields
14.8Frequency Transformation and Phase Invariance
14.9Reflection from a Moving Medium
14.9.3Power Reflection Coefficient of a Moving Mirror for s-Wave Incidence
14.10Constitutive Relations for a Moving Dielectric
14.11Relativistic Particle Dynamics
14.12Transformation of Plasma Parameters
14.13Reflection by a Moving Plasma Slab
14.14Brewster Angle and Critical Angle for Moving Plasma Medium
14.15Bounded Plasmas Moving Perpendicular to the Plane of Incidence
14.16Waveguide Modes of Moving Plasmas
14.17Impulse Response of a Moving Plasma Medium
14.18First-Order Lorentz Transformation
14.19Alternate Form of Position Four-Vector
Appendix 1A: Vector Formulas and Coordinate Systems
Appendix 1B: Retarded Potentials and Review of Potentials for the Static Cases
Appendix 1D: Low-Frequency Approximation of Maxwell’s Equations R, L, C, and Memristor M
Appendix 2B: Transmission Lines: Power Calculation
Appendix 2C: Introduction to the Smith Chart
Appendix 2D: Nonuniform Transmission Lines
Appendix 4A: Calculation of Losses in a Good Conductor at High Frequencies: Surface Resistance RS
Appendix 6A: On Restricted Fourier Series Expansion
Appendix 7A: Two- and Three-Dimensional Green’s Functions
Appendix 8A: Wave Propagation in Chiral Media
Appendix 8B: Left-Handed Materials and Transmission Line Analogies
Appendix 9A: Backscatter from a Plasma Plume due to Excitation of Surface Waves
Appendix 10C: Waveguide Modes of a Warm Drifting Uniaxial Electron Plasma
Appendix 11A: Faraday Rotation versus Natural Rotation
Appendix 11B: Ferrites and Permeability Tensor
Appendix 13A: Maxwell Stress Tensor and Electromagnetic Momentum Density
Appendix 13B: Electric and Magnetic Forces and Newton’s Third Law
Appendix 14A: Electromagnetic Wave Interaction with Moving Bounded Plasmas
Appendix 14D: Brewster Angle for a Plasma Medium Moving at a Relativistic Speed
Appendix 14E: On Total Reflection of Electromagnetic Waves from Moving Plasmas
Appendix 14G: Moving Point Charge and Lienard–Wiechert Potentials