Home Page Icon
Home Page
Table of Contents for
Part IV Chapter Problems
Close
Part IV Chapter Problems
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
1.1 Introduction
1.2 Simple Medium
1.3 Time-Domain Electromagnetics
1.3.1 Radiation by an Impulse Current Source
1.4 Time-Harmonic Fields
1.5 Quasistatic and Static Approximations
1.6 Maxwell’s Equations in Integral Form and Circuit Parameters
References
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
4.1 Rectangular Cavity with PEC Boundaries: TM Modes
4.2 Rectangular Cavity with PEC Boundaries: TE Modes
4.3 Q of a Cavity
Reference
5. Spherical Waves and Applications
5.1 Half-Integral Bessel Functions
5.2 Solutions of Scalar Helmholtz Equation
5.3 Vector Helmholtz Equation
5.4 TMr Modes
5.5 TEr Modes
5.6 Spherical Cavity
6. Laplace Equation: Static and Low-Frequency Approximations
6.1 One-Dimensional Solutions
6.2 Two-Dimensional Solutions
6.2.1 Cartesian Coordinates
6.2.2 Circular Cylindrical Coordinates
6.3 Three-Dimensional Solution
6.3.1 Cartesian Coordinates
6.3.2 Cylindrical Coordinates
6.3.3 Spherical Coordinates
References
7. Miscellaneous Topics on Waves
7.1 Group Velocity vg
7.2 Green’s Function
7.3 Network Formulation
7.3.1 ABCD Parameters
7.3.2 S Parameters
7.4 Stop Bands of a Periodic Media
7.5 Radiation
7.5.1 Hertzian Dipole
7.5.2 Half-Wave Dipole
7.5.3 Dipoles of Arbitrary Length
7.5.4 Shaping the Radiation Pattern
7.5.5 Antenna Problem as a Boundary Value Problem
7.5.6 Traveling Wave Antenna and Cerenkov Radiation
7.5.7 Small Circular Loop Antenna
7.5.8 Other Practical Radiating Systems
7.6 Scattering
7.6.1 Cylindrical Wave Transformations
7.6.2 Calculation of Current Induced on the Cylinder
7.6.3 Scattering Width
7.7 Diffraction
7.7.1 Magnetic Current and Electric Vector Potential
7.7.2 Far-Zone Fields and Radiation Intensity
7.7.3 Elemental Plane Wave Source and Radiation Intensity
7.7.4 Diffraction by the Circular Hole
References
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
8.3.1 Case 1: ω < ν and ν2≪ωp2 (Low-Frequency Region)
8.3.2 Case 2: ν < ω < ωp (Intermediate-Frequency Region)
8.3.3 Case 3: ω > ωp (High-Frequency Region)
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
9.9.1 Isotropic Plasma Half-Space s Wave
9.9.2 Impulse Response of Several Other Cases Including Plasma Slab
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
10.7.1 Temperate Plasma
10.7.2 Debye Length, Collective Behavior, and Overall Charge Neutrality
10.7.3 Unneutralized Plasma
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
12.1 Wave Propagation in a Biaxial Crystal along the Principal Axes
12.2 Propagation in an Arbitrary Direction
12.3 Propagation in an Arbitrary Direction: Uniaxial Crystal
12.4 k-Surface
12.5 Group Velocity as a Function of Polar Angle
12.6 Reflection by an Anisotropic Half-Space
References
13. Time-Domain Solutions
13.1 Introduction
13.2 Transients on Bounded Ideal Transmission Lines
13.2.1 Step Response for Resistive Terminations
13.2.2 Response to a Rectangular Pulse
13.2.3 Response to a Pulse with a Rise Time and Fall Time
13.2.4 Source with Rise Time: Response to Reactive Load Terminations
13.2.5 Response to Nonlinear Terminations
13.2.6 Practical Applications of the Theory
13.3 Transients on Lossy Transmission Lines
13.3.1 Solution Using the Laplace Transform Technique
13.3.1.1 Loss-Free Line
13.3.1.2 Distortionless Line
13.3.1.3 Lossy Line
13.4 Direct Solution in Time Domain: Klein–Gordon Equation
13.4.1 Examples of Klein–Gordon Equation
13.5 Nonlinear Transmission Line Equations and KdV Equation
13.5.1 Korteweg-de-Vries (KdV) Equation and Its Solution
13.5.2 KdV Approximation of NLTL 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
13.6.4.1 Special Case of E = 0
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
13.6.8.1 Hamiltonian Formulation
13.6.8.2 Photon Ray Theory
13.6.8.3 Space and Time Refraction Explained through Photon Theory
13.7 Nuclear Electromagnetic Pulse and Time-Varying Conducting Medium
13.8 Magnetohydrodynamics (MHD)
13.8.1 Evolution of the B Field
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
13.9.2.1 Sudden Creation of an Unbounded Plasma Medium
13.9.3 Sudden Creation of a Plasma Slab
13.9.4 Time-Varying Magnetoplasma Medium
13.9.4.1 Basic Field Equations
13.9.4.2 Characteristic Waves
13.9.4.3 R-Wave Propagation
13.9.4.4 Sudden Creation
13.9.4.5 Frequency-Shifting Characteristics of Various R Waves
13.9.5 Modeling of Building Up Plasma versus Collapsing Plasma
13.9.5.1 Building Up Magnetoplasma
13.9.5.2 Collapsing Magnetoplasma
13.9.6 Applications
13.9.6.1 Application: Frequency Transformer 10–1000 GHz
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
13.10.1 Maxwell Distribution f⌢M and Kinetic Definition of Temperature T
13.10.2 Boltzmann Equation
13.10.3 Boltzmann–Vlasov Equation
13.10.4 Krook Model for Collisions
13.10.5 Isotropic Dielectric Constant of Plasma
13.10.6 Plasma Dispersion Function and Landau Damping
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
14.9.1 Incident s-Wave
14.9.2 Field Transformations
14.9.3 Power Reflection Coefficient of a Moving Mirror for s-Wave Incidence
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
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
Problems
Index
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Prev
Previous Chapter
Appendix 14G: Moving Point Charge and Lienard–Wiechert Potentials
Next
Next Chapter
Problems
]>
Chapter Problems
Part IV
Chapter Problems
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset