Preface
Contents
Chapter 1 The Subject of Electromagnetics
1.1 Historical Background
1.2 Objectives of the Chapter
1.3 Electric Charge
1.4 Units
1.5 Vectors
1.6 Electrical Force, Field, Flux, and Potential
1.7 Magnetic Force, Field, Flux, and Potential
1.8 Electromagnetic Induction
1.9 Mathematical Operators and Identities
1.10 Maxwell's Equations
1.11 Electromagnetic Waves
1.12 Trajectory of a Sinusoidal Motion in Two Dimensions
1.13 Wave Polarization
1.14 Electromagnetic Spectrum
1.15 Transmission Lines
Chapter 2 Vector Analysis
2.1 Introduction
2.2 Vector Notation
2.3 Vector Functions
2.4 Vector Algebra
2.5 Coordinate Systems
2.6 Differential Volume, Surface, and Line Elements
Chapter 3 Electric Field
3.1 Introduction
3.2 Coulomb's Law in Vector Form
3.3 Superposition
3.4 Electric Field Intensity
3.5 Charge Distributions
3.6 Standard Charge Configurations
Chapter 4 Electric Flux
4.1 Net Charge in a Region
4.2 Electric Flux and Flux Density
4.3 Gauss's Law
4.4 Relation between Flux Density and Electric Field Intensity
4.5 Special Gaussian Surfaces
Chapter 5 Gradient, Divergence, Curl, and Laplacian
5.1 Introduction
5.2 Gradient
5.3 The Del Operator
5.4 The Del Operator and Gradient
5.5 Divergence
5.6 Expressions for Divergence in Coordinate Systems
5.7 The Del Operator and Divergence
5.8 Divergence of D
5.9 The Divergence Theorem
5.10 Curl
5.11 Laplacian
5.12 Summary of Vector Operations
Chapter 6 Electrostatics: Work, Energy, and Potential
6.1 Work Done in Moving a Point Charge
6.2 Conservative Property of the Electrostatic Field
6.3 Electric Potential between Two Points
6.4 Potential of a Point Charge
6.5 Potential of a Charge Distribution
6.6 Relationship between E and V
6.7 Energy in Static Electric Fields
Chapter 7 Electric Current
7.1 Introduction
7.2 Charges in Motion
7.3 Convection Current Density J
7.4 Conduction Current Density J
7.5 Conductivity ?
7.6 Current I
7.7 Resistance R
7.8 Current Sheet Density K
7.9 Continuity of Current
7.10 Conductor-Dielectric Boundary Conditions
Chapter 8 Capacitance and Dielectric Materials
8.1 Polarization P and Relative Permittivity ?r
8.2 Capacitance
8.3 Multiple-Dielectric Capacitors
8.4 Energy Stored in a Capacitor
8.5 Fixed-Voltage D and E
8.6 Fixed-Charge D and E
8.7 Boundary Conditions at the Interface of Two Dielectrics
8.8 Method of Images
Chapter 9 Laplace's Equation
9.1 Introduction
9.2 Poisson's Equation and Laplace's Equation
9.3 Explicit Forms of Laplace's Equation
9.4 Uniqueness Theorem
9.5 Mean Value and Maximum Value Theorems
9.6 Cartesian Solution in One Variable
9.7 Cartesian Product Solution
9.8 Cylindrical Product Solution
9.9 Spherical Product Solution
Chapter 10 Magnetic Field and Boundary Conditions
10.1 Introduction
10.2 Biot-Savart Law
10.3 Ampere's Law
10.4 Relationship of J and H
10.5 Magnetic Flux Density B
10.6 Boundary Relations for Magnetic Fields
10.7 Current Sheet at the Boundary
10.8 Summary of Boundary Conditions
10.9 Vector Magnetic Potential A
10.10 Stokes' Theorem
Chapter 11 Forces and Torques in Magnetic Fields
11.1 Magnetic Force on Particles
11.2 Electric and Magnetic Fields Combined
11.3 Magnetic Force on a Current Element
11.4 Work and Power
11.5 Torque
11.6 Magnetic Moment of a Planar Coil
Chapter 12 Inductance and Magnetic Circuits
12.1 Inductance
12.2 Standard Conductor Configurations
12.3 Faraday's Law and Self-Inductance
12.4 Internal Inductance
12.5 Mutual Inductance
12.6 Magnetic Circuits
12.7 The B-H Curve
12.8 Ampere's Law for Magnetic Circuits
12.9 Cores with Air Gaps
12.10 Multiple Coils
12.11 Parallel Magnetic Circuits
Chapter 13 Time-Varying Fields and Maxwell's Equations
13.1 Introduction
13.2 Maxwell's Equations for Static Fields
13.3 Faraday's Law and Lenz's Law
13.4 Conductors' Motion in Time-Independent Fields
13.5 Conductors' Motion in Time-Dependent Fields
13.6 Displacement Current
13.7 Ratio of Jcto JD
13.8 Maxwell's Equations for Time-Varying Fields
Chapter 14 Electromagnetic Waves
14.1 Introduction
14.2 Wave Equations
14.3 Solutions in Cartesian Coordinates
14.4 Plane Waves
14.5 Solutions for Partially Conducting Media
14.6 Solutions for Perfect Dielectrics
14.7 Solutions for Good Conductors; Skin Depth
14.8 Interface Conditions at Normal Incidence
14.9 Oblique Incidence and Snell's Laws
14.10 Perpendicular Polarization
14.11 Parallel Polarization
14.12 Standing Waves
14.13 Power and the Poynting Vector
Chapter 15 Transmission Lines
15.1 Introduction
15.2 Distributed Parameters
15.3 Incremental Models
15.4 Transmission Line Equation
15.5 Impedance, Admittance, and Other Features of Interest
15.6 Sinusoidal Steady-State Excitation
15.7 Lossless Lines
15.8 The Smith Chart
15.9 Admittance Plane
15.10 Quarter-Wave Transformer
15.11 Impedance Matching
15.12 Single-Stub Matching
15.13 Double-Stub Matching
15.14 Impedance Measurement
15.15 Transients in Lossless Lines
Chapter 16 Waveguides
16.1 Introduction
16.2 Transverse and Axial Fields
16.3 TE and TM Modes; Wave Impedances
16.4 Determination of the Axial Fields
16.5 Mode Cutoff Frequencies
16.6 Dominant Mode
16.7 Power Transmitted in a Lossless Waveguide
16.8 Power Dissipation in a Lossy Waveguide
Chapter 17 Antennas
17.1 Introduction
17.2 Current Source and the E and H Fields
17.3 Electric (Hertzian) Dipole Antenna
17.4 Antenna Parameters
17.5 Small Circular-Loop Antenna
17.6 Finite-Length Dipole
17.7 Monopole Antenna
17.8 Self- and Mutual Impedances
17.9 The Receiving Antenna
17.10 Linear Arrays
17.11 Reflectors
Chapter 18 Propagation of Electromagnetic Waves in the Atmosphere
18.1 Introduction and Summary
18.2 Plane Waves in Homogeneous Media
18.3 Propagation Parameters
18.4 Complex Dielectric Constant
18.5 Power Equation
18.6 Refraction
18.7 Reflection, Diffraction, and Scattering
18.8 The Atmosphere
18.9 Atmospheric Effects on Propagation of Radio Waves
18.10 Attenuation by Gaseous Absorption
18.11 Attenuation by Hydrometeors
18.12 Ground and Sky Waves
18.13 Models of the Troposphere
18.14 Tropospheric Refractivity
18.15 Tropospheric Excess Delay
18.16 Bending Effect of Tropospheric Refraction
18.17 Conductivity, Permittivity, and Refraction Index of the Ionosphere
18.18 Satellite Microwave Ranging
18.19 Ionospheric Range Error
18.20 Tropospheric Range Error
Appendix
Index
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