Introduction and mathematical preliminaries
    Background
    The Gradient
    The Divergence
    The Curl
    The Operator Nabla
    Problems for Chapter 1

Electrostatics
    Introduction
    Coulomb's Law
    The Delta Function
    The Electric Field
    Gauss' Law
    The Electrostatic Potential
    Potential for an Infinite Sheet of Charge
    Potential and Electric Field due to Dipole
    The Linear Quadrupole
    The Laplace and Poisson Equation
    Properties of the Laplace and Poisson Equation
    Theorems on Solutions of Laplace and Poisson Equations
    Problems for Chapter 2

Electrostatic boundary value problems
    Introduction
    Conductors, Insulators and Semiconductors
    Method of Images
    Charge in Front of a Conducting Sphere
    General Solution of the Laplace Equation
    Solution in Rectangular Coordinates
    Cylindrical Coordinates - Bessel Functions
    Infinite Circular Cylinder
    An Infinite Perfectly Conductor Cylinder in Uniform Electric Field
    Spherical Coordinates with Axial Symmetry
    Two Hemispheres at Different Potentials
    A Uniform Ring of Charge
    Parallel Plates with Hemispherical Defect
    Electrostatic Boundary Value Problems and Green's Functions
    Bibliography
    Problems for Chapter 3

Electrostatics in dielectric media
    Introduction
    Multipole Expansion of the Potential
    Electrostatic Energy of Charge Distributions
    Theory of Capacitance
    Electric Field in Material Media
    Boundary Conditions at a Dielectric Interface
    Electrostatics in Dielectrics
    Electrostatic Energy in Dielectric Media
    Thermodynamic Meaning of Electrostatic Energy
    Average of Electric Field Over a Sphere
    The Clausius-Mossotti Equation
    Polar Molecules
    Forces on Dielectrics
    Bibliography
    Problems for Chapter 4

Magnetostatics
    Introduction
    Current, Current Density and Equations of Continuity
    Biot-Savart Law
    Lorentz Force
    Divergence and Curl of B
    Field of a Solenoid
    The Vector Potential
    Magnetic Dipole Moment and B of a Distant Current Loop
    Motion of Charged Particle in an Electromagnetic Field
    Motion of Charged Particles: Inhomogeneous Static B
    Magnetic Scalar Potential
    Magnetic Potential and B of a Circular Coil
    Bibliography
    Problems for Chapter 5

Magnetism in materials
    Introduction
    Constitutive Relations for Magnetic Materials
    Three Types of Magnetism
    Magnetization
    Magnetic Induction Inside Magnetic Materials
    Magnetic Field Intensity H
    Boundary Conditions on B and H
    Hysteresis Loop
    Magnetic Energy and Mechanical Analogues
    Energy Loss in Hysteresis Loop
    Problems for Chapter 6

Time-varying fields
    Introduction
    Faraday's Law of Induction
    Inductance
    Generalization of Ampere's Law
    Maxwell's Equations in the Absence of Matter
    Green's Functions for the Scalar Wave Equation
    Problems for Chapter 7

Maxwell's equations and plane waves
    Introduction
    Electromagnetic Waves in a Linear Medium
    The Flow of Electromagnetic Energy - Poynting Vector
    Boundary Conditions
    Plane Monochromatic Waves
    Polarization of Plane Waves
    Problems for Chapter 8

Electromagnetic waves in dielectric material media
    Introduction
    Reflection and Refraction
    Brewster's Angle, Critical Angle
    Frequency Dispersion, Causality and Kramers-Kronig Relations
    Problems for Chapter 9

Wave guides and resonant cavities
    Introduction
    Two Parallel Mirrors
    Wave Guides
    Transverse Electromagnetic Waves (TEM)
    Equations for TE and TM Modes
    TM or E Mode
    TE or M Mode
    Properties of the TE and Tm Modes
    TE Modes for Rectangular Wave Guides
    Resonant Cavities
    Resonant Frequencies for a Cylindrical Cavity
    Power Losses and Q of a Cavity
    Dielectric Wave Guides
    Cylindrical Dielectric Wave Guide
    Problems for Chapter 10

Radiation from a stationary time-varying sources
    Introduction
    Inhomogeneous Wave Equations: Formal Solutions
    Approximate Calculations of f and A : Electric Dipole Radiation
    Radiating Hemispheres
    Absence of Monopole Radiation
    Magnetic Dipole and Electric Quadrupole Radiation
    Circular Loop Antenna
    Quadrupole Radiation
    Radiation from Linear Antennas
    Radiation from Two Parallel Half-Wave Antennas
    Full Wave Antenna
    Bibliography
    Problems for Chapter 11

Special relativity
    Introduction
    The Michelson-Morley Experiment
    The Lorentz Transformations
    The Fitzgerald-Lorentz Contraction and Time Dilation
    Addition of Velocities - Accelerated Motions
    Simultaneity
    Tensor Calculus and the Lorentz Group
    Covariance of Maxwell's Equations
    Relativistic Kinematics, Proper Time
    The Lorentz Force
    The Minkowski Force
    Examples
    Electromagnetic Field due to Moving Charge
    Problems for Chapter 12
 
Electrodynamics
    Introduction
    Lienard-Wiechart Potentials
    Electric and Magnetic Fields due to Uniform Motion of a Charge
    Power Radiated by a Charge

Dimensions and units

21 mars 2003