Part II Electromagnetic Equations of Complex Media
by Dikshitulu K. Kalluri
Principles of Electromagnetic Waves and Materials, 2nd Edition
- Cover
- Halftitle Page
- Title Page
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Author
- Selected List of Symbols
- List of Book Sources
- Part I Electromagnetics of Bounded Simple Media
- 1. Electromagnetics of Simple Media
- 2. Electromagnetics of Simple Media: One-Dimensional Solution
- 2.1 Uniform Plane Waves in Sourceless Medium (ρV = 0, Jsource = 0)
- 2.2 Good Conductor Approximation
- 2.3 Uniform Plane Wave in a Good Conductor: Skin Effect
- 2.4 Boundary Conditions at the Interface of a Perfect Electric Conductor with a Dielectric
- 2.5 AC Resistance
- 2.6 AC Resistance of Round Wires
- 2.7 Voltage and Current Harmonic Waves: Transmission Lines
- 2.8 Bounded Transmission Line
- 2.9 Electromagnetic Wave Polarization
- 2.10 Arbitrary Direction of Propagation
- 2.11 Wave Reflection
- 2.12 Incidence of p Wave: Parallel-Polarized
- 2.13 Incidence of s Wave: Perpendicular-Polarized
- 2.14 Critical Angle and Surface Wave
- 2.15 One-Dimensional Cylindrical Wave and Bessel Functions
- References
- 3. Two-Dimensional Problems and Waveguides
- 3.1 Two-Dimensional Solutions in Cartesian Coordinates
- 3.2 TMmn Modes in a Rectangular Waveguide
- 3.3 TEmn Modes in a Rectangular Waveguide
- 3.4 Dominant Mode in a Rectangular Waveguide: TE10 Mode
- 3.5 Power Flow in a Waveguide: TE10 Mode
- 3.6 Attenuation of TE10 Mode due to Imperfect Conductors and Dielectric Medium
- 3.7 Cylindrical Waveguide: TM Modes
- 3.8 Cylindrical Waveguide: TE Modes
- 3.9 Sector Waveguide
- 3.10 Dielectric Cylindrical Waveguide: Optical Fiber
- References
- 4. Three-Dimensional Solutions
- 5. Spherical Waves and Applications
- 6. Laplace Equation: Static and Low-Frequency Approximations
- 7. Miscellaneous Topics on Waves
- Part II Electromagnetic Equations of Complex Media
- 8. Electromagnetic Modeling of Complex Materials
- 8.1 Volume of Electric Dipoles
- 8.2 Frequency-Dependent Dielectric Constant
- 8.3 Modeling of Metals
- 8.4 Plasma Medium
- 8.5 Polarizability of Dielectrics
- 8.6 Mixing Formula
- 8.7 Good Conductors and Semiconductors
- 8.8 Perfect Conductors and Superconductors
- 8.9 Magnetic Materials
- 8.10 Chiral Medium
- 8.11 Plasmonics and Metamaterials
- References
- 9. Waves in Isotropic Cold Plasma: Dispersive Medium
- 9.1 Basic Equations
- 9.2 Dielectric–Dielectric Spatial Boundary
- 9.3 Reflection by a Plasma Half-Space
- 9.4 Reflection by a Plasma Slab
- 9.5 Tunneling of Power through a Plasma Slab
- 9.6 Inhomogeneous Slab Problem
- 9.7 Periodic Layers of Plasma
- 9.8 Surface Waves
- 9.9 Transient Response of a Plasma Half-Space
- 9.10 Solitons
- 9.11 Perfect Dispersive Medium
- References
- 10. Spatial Dispersion and Warm Plasma
- 10.1 Waves in a Compressible Gas
- 10.2 Waves in Warm Plasma
- 10.3 Constitutive Relation for a Lossy Warm Plasma
- 10.4 Dielectric Model of Warm Loss-Free Plasma
- 10.5 Conductor Model of Warm Lossy Plasma
- 10.6 Spatial Dispersion and Nonlocal Metal Optics
- 10.7 Technical Definition of Plasma State
- References
- 11. Wave in Anisotropic Media and Magnetoplasma
- 11.1 Introduction
- 11.2 Basic Field Equations for a Cold Anisotropic Plasma Medium
- 11.3 One-Dimensional Equations: Longitudinal Propagation and L and R Waves
- 11.4 One-Dimensional Equations: Transverse Propagation—O Wave
- 11.5 One-Dimensional Solution: Transverse Propagation—X Wave
- 11.6 Dielectric Tensor of a Lossy Magnetoplasma Medium
- 11.7 Periodic Layers of Magnetoplasma
- 11.8 Surface Magnetoplasmons
- 11.9 Surface Magnetoplasmons in Periodic Media
- 11.10 Permeability Tensor
- 11.11 Reflection by a Warm Magnetoplasma Slab
- References
- 12. Optical Waves in Anisotropic Crystals
- 13. Time-Domain Solutions
- 13.1 Introduction
- 13.2 Transients on Bounded Ideal Transmission Lines
- 13.3 Transients on Lossy Transmission Lines
- 13.4 Direct Solution in Time Domain: Klein–Gordon Equation
- 13.5 Nonlinear Transmission Line Equations and KdV Equation
- 13.6 Charged Particle Dynamics
- 13.6.1 Introduction
- 13.6.2 Kinematics
- 13.6.3 Conservation of Particle Energy due to Stationary Electric and Magnetic Fields
- 13.6.4 Constant Electric and Magnetic Fields
- 13.6.5 Constant Gravitational Field and Magnetic Field
- 13.6.6 Drift Velocity in Nonuniform B Field
- 13.6.7 Time-Varying Fields and Adiabatic Invariants
- 13.6.8 Lagrange and Hamiltonian Formulations of Equations of Motion
- 13.7 Nuclear Electromagnetic Pulse and Time-Varying Conducting Medium
- 13.8 Magnetohydrodynamics (MHD)
- 13.9 Time-Varying Electromagnetic Medium
- 13.9.1 Frequency Change due to a Temporal Discontinuity in the Medium Properties
- 13.9.2 Effect of Switching an Unbounded Isotropic Plasma Medium
- 13.9.3 Sudden Creation of a Plasma Slab
- 13.9.4 Time-Varying Magnetoplasma Medium
- 13.9.5 Modeling of Building Up Plasma versus Collapsing Plasma
- 13.9.6 Applications
- 13.9.7 Subcycle Time-Varying Medium
- 13.9.8 Periodically Time-Varying Parameter, Mathieu Equation, and Parametric Resonance
- 13.10 Statistical Mechanics and Boltzmann Equation
- References
- 14. Electromagnetics of Moving Media: Uniform Motion
- 14.1 Introduction
- 14.2 Snell’s Law
- 14.3 Galilean Transformation
- 14.4 Lorentz Transformation
- 14.5 Lorentz Scalars, Vectors, and Tensors
- 14.6 Electromagnetic Equations in Four-Dimensional Space
- 14.7 Lorentz Transformation of the Electromagnetic Fields
- 14.8 Frequency Transformation and Phase Invariance
- 14.9 Reflection from a Moving Medium
- 14.10 Constitutive Relations for a Moving Dielectric
- 14.11 Relativistic Particle Dynamics
- 14.12 Transformation of Plasma Parameters
- 14.13 Reflection by a Moving Plasma Slab
- 14.14 Brewster Angle and Critical Angle for Moving Plasma Medium
- 14.15 Bounded Plasmas Moving Perpendicular to the Plane of Incidence
- 14.16 Waveguide Modes of Moving Plasmas
- 14.17 Impulse Response of a Moving Plasma Medium
- 14.18 First-Order Lorentz Transformation
- 14.19 Alternate Form of Position Four-Vector
- References
- 8. Electromagnetic Modeling of Complex Materials
- Part III Appendices
- Appendix 1A: Vector Formulas and Coordinate Systems
- Appendix 1B: Retarded Potentials and Review of Potentials for the Static Cases
- Appendix 1C: Poynting Theorem
- Appendix 1D: Low-Frequency Approximation of Maxwell’s Equations R, L, C, and Memristor M
- Appendix 2A: AC Resistance of a Round Wire When the Skin Depth δ Is Comparable to the Radius a of the Wire
- 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 10A: Thin Film Reflection Properties of a Warm Isotropic Plasma Slab between Two Half-Space Dielectric Media
- Appendix 10B: First-Order Coupled Differential Equations for Waves in Inhomogeneous Warm Magnetoplasmas
- 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 11C: Thin Film Reflection Properties of a Warm Magnetoplasma Slab: Coupling of Electromagnetic Wave with Electron Plasma Wave
- Appendix 13A: Maxwell Stress Tensor and Electromagnetic Momentum Density
- Appendix 13B: Electric and Magnetic Forces and Newton’s Third Law
- Appendix 13C: Frequency and Polarization Transformer (10–1000 GHz): Interaction of a Whistler Wave with a Collapsing Plasma in a Cavity
- Appendix 14A: Electromagnetic Wave Interaction with Moving Bounded Plasmas
- Appendix 14B: Radiation Pressure Due to Plane Electromagnetic Waves Obliquely Incident on Moving Media
- Appendix 14C: Reflection and Transmission of Electromagnetic Waves Obliquely Incident on a Relativistically Moving Uniaxial Plasma Slab
- 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 14F: Interaction of Electromagnetic Waves with Bounded Plasmas Moving Perpendicular to the Plane of Incidence
- Appendix 14G: Moving Point Charge and Lienard–Wiechert Potentials
- Part IV Chapter Problems
- Index
-
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