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Book Description

This book focuses primarily on senior undergraduates and graduates in Electromagnetics Waves and Materials courses. The book takes an integrative approach to the subject of electromagnetics by supplementing quintessential "old school" information and methods with instruction in the use of new commercial software such as MATLAB. Homework problems, PowerPoint slides, an instructor’s manual, a solutions manual, MATLAB downloads, quizzes, and suggested examination problems are included. Revised throughout, this new edition includes two key new chapters on artificial electromagnetic materials and electromagnetics of moving media.

Table of Contents

  1. Cover
  2. Halftitle Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. Acknowledgments
  8. Author
  9. Selected List of Symbols
  10. List of Book Sources
  11. Part I Electromagnetics of Bounded Simple Media
    1. 1. Electromagnetics of Simple Media
      1. 1.1 Introduction
      2. 1.2 Simple Medium
      3. 1.3 Time-Domain Electromagnetics
        1. 1.3.1 Radiation by an Impulse Current Source
      4. 1.4 Time-Harmonic Fields
      5. 1.5 Quasistatic and Static Approximations
      6. 1.6 Maxwell’s Equations in Integral Form and Circuit Parameters
      7. References
    2. 2. Electromagnetics of Simple Media: One-Dimensional Solution
      1. 2.1 Uniform Plane Waves in Sourceless Medium (ρV = 0, Jsource = 0)
      2. 2.2 Good Conductor Approximation
      3. 2.3 Uniform Plane Wave in a Good Conductor: Skin Effect
      4. 2.4 Boundary Conditions at the Interface of a Perfect Electric Conductor with a Dielectric
      5. 2.5 AC Resistance
      6. 2.6 AC Resistance of Round Wires
      7. 2.7 Voltage and Current Harmonic Waves: Transmission Lines
      8. 2.8 Bounded Transmission Line
      9. 2.9 Electromagnetic Wave Polarization
      10. 2.10 Arbitrary Direction of Propagation
      11. 2.11 Wave Reflection
      12. 2.12 Incidence of p Wave: Parallel-Polarized
      13. 2.13 Incidence of s Wave: Perpendicular-Polarized
      14. 2.14 Critical Angle and Surface Wave
      15. 2.15 One-Dimensional Cylindrical Wave and Bessel Functions
      16. References
    3. 3. Two-Dimensional Problems and Waveguides
      1. 3.1 Two-Dimensional Solutions in Cartesian Coordinates
      2. 3.2 TMmn Modes in a Rectangular Waveguide
      3. 3.3 TEmn Modes in a Rectangular Waveguide
      4. 3.4 Dominant Mode in a Rectangular Waveguide: TE10 Mode
      5. 3.5 Power Flow in a Waveguide: TE10 Mode
      6. 3.6 Attenuation of TE10 Mode due to Imperfect Conductors and Dielectric Medium
      7. 3.7 Cylindrical Waveguide: TM Modes
      8. 3.8 Cylindrical Waveguide: TE Modes
      9. 3.9 Sector Waveguide
      10. 3.10 Dielectric Cylindrical Waveguide: Optical Fiber
      11. References
    4. 4. Three-Dimensional Solutions
      1. 4.1 Rectangular Cavity with PEC Boundaries: TM Modes
      2. 4.2 Rectangular Cavity with PEC Boundaries: TE Modes
      3. 4.3 Q of a Cavity
      4. Reference
    5. 5. Spherical Waves and Applications
      1. 5.1 Half-Integral Bessel Functions
      2. 5.2 Solutions of Scalar Helmholtz Equation
      3. 5.3 Vector Helmholtz Equation
      4. 5.4 TMr Modes
      5. 5.5 TEr Modes
      6. 5.6 Spherical Cavity
    6. 6. Laplace Equation: Static and Low-Frequency Approximations
      1. 6.1 One-Dimensional Solutions
      2. 6.2 Two-Dimensional Solutions
        1. 6.2.1 Cartesian Coordinates
        2. 6.2.2 Circular Cylindrical Coordinates
      3. 6.3 Three-Dimensional Solution
        1. 6.3.1 Cartesian Coordinates
        2. 6.3.2 Cylindrical Coordinates
        3. 6.3.3 Spherical Coordinates
      4. References
    7. 7. Miscellaneous Topics on Waves
      1. 7.1 Group Velocity vg
      2. 7.2 Green’s Function
      3. 7.3 Network Formulation
        1. 7.3.1 ABCD Parameters
        2. 7.3.2 S Parameters
      4. 7.4 Stop Bands of a Periodic Media
      5. 7.5 Radiation
        1. 7.5.1 Hertzian Dipole
        2. 7.5.2 Half-Wave Dipole
        3. 7.5.3 Dipoles of Arbitrary Length
        4. 7.5.4 Shaping the Radiation Pattern
        5. 7.5.5 Antenna Problem as a Boundary Value Problem
        6. 7.5.6 Traveling Wave Antenna and Cerenkov Radiation
        7. 7.5.7 Small Circular Loop Antenna
        8. 7.5.8 Other Practical Radiating Systems
      6. 7.6 Scattering
        1. 7.6.1 Cylindrical Wave Transformations
        2. 7.6.2 Calculation of Current Induced on the Cylinder
        3. 7.6.3 Scattering Width
      7. 7.7 Diffraction
        1. 7.7.1 Magnetic Current and Electric Vector Potential
        2. 7.7.2 Far-Zone Fields and Radiation Intensity
        3. 7.7.3 Elemental Plane Wave Source and Radiation Intensity
        4. 7.7.4 Diffraction by the Circular Hole
      8. References
  12. Part II Electromagnetic Equations of Complex Media
    1. 8. Electromagnetic Modeling of Complex Materials
      1. 8.1 Volume of Electric Dipoles
      2. 8.2 Frequency-Dependent Dielectric Constant
      3. 8.3 Modeling of Metals
        1. 8.3.1 Case 1: ω < ν and &#957;2&#8810;&#969;p2 (Low-Frequency Region)
        2. 8.3.2 Case 2: ν < ω < ωp (Intermediate-Frequency Region)
        3. 8.3.3 Case 3: ω > ωp (High-Frequency Region)
      4. 8.4 Plasma Medium
      5. 8.5 Polarizability of Dielectrics
      6. 8.6 Mixing Formula
      7. 8.7 Good Conductors and Semiconductors
      8. 8.8 Perfect Conductors and Superconductors
      9. 8.9 Magnetic Materials
      10. 8.10 Chiral Medium
      11. 8.11 Plasmonics and Metamaterials
      12. References
    2. 9. Waves in Isotropic Cold Plasma: Dispersive Medium
      1. 9.1 Basic Equations
      2. 9.2 Dielectric–Dielectric Spatial Boundary
      3. 9.3 Reflection by a Plasma Half-Space
      4. 9.4 Reflection by a Plasma Slab
      5. 9.5 Tunneling of Power through a Plasma Slab
      6. 9.6 Inhomogeneous Slab Problem
      7. 9.7 Periodic Layers of Plasma
      8. 9.8 Surface Waves
      9. 9.9 Transient Response of a Plasma Half-Space
        1. 9.9.1 Isotropic Plasma Half-Space s Wave
        2. 9.9.2 Impulse Response of Several Other Cases Including Plasma Slab
      10. 9.10 Solitons
      11. 9.11 Perfect Dispersive Medium
      12. References
    3. 10. Spatial Dispersion and Warm Plasma
      1. 10.1 Waves in a Compressible Gas
      2. 10.2 Waves in Warm Plasma
      3. 10.3 Constitutive Relation for a Lossy Warm Plasma
      4. 10.4 Dielectric Model of Warm Loss-Free Plasma
      5. 10.5 Conductor Model of Warm Lossy Plasma
      6. 10.6 Spatial Dispersion and Nonlocal Metal Optics
      7. 10.7 Technical Definition of Plasma State
        1. 10.7.1 Temperate Plasma
        2. 10.7.2 Debye Length, Collective Behavior, and Overall Charge Neutrality
        3. 10.7.3 Unneutralized Plasma
      8. References
    4. 11. Wave in Anisotropic Media and Magnetoplasma
      1. 11.1 Introduction
      2. 11.2 Basic Field Equations for a Cold Anisotropic Plasma Medium
      3. 11.3 One-Dimensional Equations: Longitudinal Propagation and L and R Waves
      4. 11.4 One-Dimensional Equations: Transverse Propagation—O Wave
      5. 11.5 One-Dimensional Solution: Transverse Propagation—X Wave
      6. 11.6 Dielectric Tensor of a Lossy Magnetoplasma Medium
      7. 11.7 Periodic Layers of Magnetoplasma
      8. 11.8 Surface Magnetoplasmons
      9. 11.9 Surface Magnetoplasmons in Periodic Media
      10. 11.10 Permeability Tensor
      11. 11.11 Reflection by a Warm Magnetoplasma Slab
      12. References
    5. 12. Optical Waves in Anisotropic Crystals
      1. 12.1 Wave Propagation in a Biaxial Crystal along the Principal Axes
      2. 12.2 Propagation in an Arbitrary Direction
      3. 12.3 Propagation in an Arbitrary Direction: Uniaxial Crystal
      4. 12.4 k-Surface
      5. 12.5 Group Velocity as a Function of Polar Angle
      6. 12.6 Reflection by an Anisotropic Half-Space
      7. References
    6. 13. Time-Domain Solutions
      1. 13.1 Introduction
      2. 13.2 Transients on Bounded Ideal Transmission Lines
        1. 13.2.1 Step Response for Resistive Terminations
        2. 13.2.2 Response to a Rectangular Pulse
        3. 13.2.3 Response to a Pulse with a Rise Time and Fall Time
        4. 13.2.4 Source with Rise Time: Response to Reactive Load Terminations
        5. 13.2.5 Response to Nonlinear Terminations
        6. 13.2.6 Practical Applications of the Theory
      3. 13.3 Transients on Lossy Transmission Lines
        1. 13.3.1 Solution Using the Laplace Transform Technique
          1. 13.3.1.1 Loss-Free Line
          2. 13.3.1.2 Distortionless Line
          3. 13.3.1.3 Lossy Line
      4. 13.4 Direct Solution in Time Domain: Klein–Gordon Equation
        1. 13.4.1 Examples of Klein–Gordon Equation
      5. 13.5 Nonlinear Transmission Line Equations and KdV Equation
        1. 13.5.1 Korteweg-de-Vries (KdV) Equation and Its Solution
        2. 13.5.2 KdV Approximation of NLTL Equation
      6. 13.6 Charged Particle Dynamics
        1. 13.6.1 Introduction
        2. 13.6.2 Kinematics
        3. 13.6.3 Conservation of Particle Energy due to Stationary Electric and Magnetic Fields
        4. 13.6.4 Constant Electric and Magnetic Fields
          1. 13.6.4.1 Special Case of E = 0
        5. 13.6.5 Constant Gravitational Field and Magnetic Field
        6. 13.6.6 Drift Velocity in Nonuniform B Field
        7. 13.6.7 Time-Varying Fields and Adiabatic Invariants
        8. 13.6.8 Lagrange and Hamiltonian Formulations of Equations of Motion
          1. 13.6.8.1 Hamiltonian Formulation
          2. 13.6.8.2 Photon Ray Theory
          3. 13.6.8.3 Space and Time Refraction Explained through Photon Theory
      7. 13.7 Nuclear Electromagnetic Pulse and Time-Varying Conducting Medium
      8. 13.8 Magnetohydrodynamics (MHD)
        1. 13.8.1 Evolution of the B Field
      9. 13.9 Time-Varying Electromagnetic Medium
        1. 13.9.1 Frequency Change due to a Temporal Discontinuity in the Medium Properties
        2. 13.9.2 Effect of Switching an Unbounded Isotropic Plasma Medium
          1. 13.9.2.1 Sudden Creation of an Unbounded Plasma Medium
        3. 13.9.3 Sudden Creation of a Plasma Slab
        4. 13.9.4 Time-Varying Magnetoplasma Medium
          1. 13.9.4.1 Basic Field Equations
          2. 13.9.4.2 Characteristic Waves
          3. 13.9.4.3 R-Wave Propagation
          4. 13.9.4.4 Sudden Creation
          5. 13.9.4.5 Frequency-Shifting Characteristics of Various R Waves
        5. 13.9.5 Modeling of Building Up Plasma versus Collapsing Plasma
          1. 13.9.5.1 Building Up Magnetoplasma
          2. 13.9.5.2 Collapsing Magnetoplasma
        6. 13.9.6 Applications
          1. 13.9.6.1 Application: Frequency Transformer 10–1000 GHz
        7. 13.9.7 Subcycle Time-Varying Medium
        8. 13.9.8 Periodically Time-Varying Parameter, Mathieu Equation, and Parametric Resonance
      10. 13.10 Statistical Mechanics and Boltzmann Equation
        1. 13.10.1 Maxwell Distribution f&#8994;M and Kinetic Definition of Temperature T
        2. 13.10.2 Boltzmann Equation
        3. 13.10.3 Boltzmann–Vlasov Equation
        4. 13.10.4 Krook Model for Collisions
        5. 13.10.5 Isotropic Dielectric Constant of Plasma
        6. 13.10.6 Plasma Dispersion Function and Landau Damping
      11. References
    7. 14. Electromagnetics of Moving Media: Uniform Motion
      1. 14.1 Introduction
      2. 14.2 Snell’s Law
      3. 14.3 Galilean Transformation
      4. 14.4 Lorentz Transformation
      5. 14.5 Lorentz Scalars, Vectors, and Tensors
      6. 14.6 Electromagnetic Equations in Four-Dimensional Space
      7. 14.7 Lorentz Transformation of the Electromagnetic Fields
      8. 14.8 Frequency Transformation and Phase Invariance
      9. 14.9 Reflection from a Moving Medium
        1. 14.9.1 Incident s-Wave
        2. 14.9.2 Field Transformations
        3. 14.9.3 Power Reflection Coefficient of a Moving Mirror for s-Wave Incidence
      10. 14.10 Constitutive Relations for a Moving Dielectric
      11. 14.11 Relativistic Particle Dynamics
      12. 14.12 Transformation of Plasma Parameters
      13. 14.13 Reflection by a Moving Plasma Slab
      14. 14.14 Brewster Angle and Critical Angle for Moving Plasma Medium
      15. 14.15 Bounded Plasmas Moving Perpendicular to the Plane of Incidence
      16. 14.16 Waveguide Modes of Moving Plasmas
      17. 14.17 Impulse Response of a Moving Plasma Medium
      18. 14.18 First-Order Lorentz Transformation
      19. 14.19 Alternate Form of Position Four-Vector
      20. References
  13. Part III Appendices
    1. Appendix 1A: Vector Formulas and Coordinate Systems
    2. Appendix 1B: Retarded Potentials and Review of Potentials for the Static Cases
    3. Appendix 1C: Poynting Theorem
    4. Appendix 1D: Low-Frequency Approximation of Maxwell’s Equations R, L, C, and Memristor M
    5. Appendix 2A: AC Resistance of a Round Wire When the Skin Depth δ Is Comparable to the Radius a of the Wire
    6. Appendix 2B: Transmission Lines: Power Calculation
    7. Appendix 2C: Introduction to the Smith Chart
    8. Appendix 2D: Nonuniform Transmission Lines
    9. Appendix 4A: Calculation of Losses in a Good Conductor at High Frequencies: Surface Resistance RS
    10. Appendix 6A: On Restricted Fourier Series Expansion
    11. Appendix 7A: Two- and Three-Dimensional Green’s Functions
    12. Appendix 8A: Wave Propagation in Chiral Media
    13. Appendix 8B: Left-Handed Materials and Transmission Line Analogies
    14. Appendix 9A: Backscatter from a Plasma Plume due to Excitation of Surface Waves
    15. Appendix 10A: Thin Film Reflection Properties of a Warm Isotropic Plasma Slab between Two Half-Space Dielectric Media
    16. Appendix 10B: First-Order Coupled Differential Equations for Waves in Inhomogeneous Warm Magnetoplasmas
    17. Appendix 10C: Waveguide Modes of a Warm Drifting Uniaxial Electron Plasma
    18. Appendix 11A: Faraday Rotation versus Natural Rotation
    19. Appendix 11B: Ferrites and Permeability Tensor
    20. Appendix 11C: Thin Film Reflection Properties of a Warm Magnetoplasma Slab: Coupling of Electromagnetic Wave with Electron Plasma Wave
    21. Appendix 13A: Maxwell Stress Tensor and Electromagnetic Momentum Density
    22. Appendix 13B: Electric and Magnetic Forces and Newton’s Third Law
    23. Appendix 13C: Frequency and Polarization Transformer (10–1000 GHz): Interaction of a Whistler Wave with a Collapsing Plasma in a Cavity
    24. Appendix 14A: Electromagnetic Wave Interaction with Moving Bounded Plasmas
    25. Appendix 14B: Radiation Pressure Due to Plane Electromagnetic Waves Obliquely Incident on Moving Media
    26. Appendix 14C: Reflection and Transmission of Electromagnetic Waves Obliquely Incident on a Relativistically Moving Uniaxial Plasma Slab
    27. Appendix 14D: Brewster Angle for a Plasma Medium Moving at a Relativistic Speed
    28. Appendix 14E: On Total Reflection of Electromagnetic Waves from Moving Plasmas
    29. Appendix 14F: Interaction of Electromagnetic Waves with Bounded Plasmas Moving Perpendicular to the Plane of Incidence
    30. Appendix 14G: Moving Point Charge and Lienard–Wiechert Potentials
  14. Part IV Chapter Problems
    1. Problems
  15. Index
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