Table of Contents

INTRODUCTORY CONCEPTS
Notation, Conventions, and Symbology
The Field Concept of Electromagnetics
The Sources of the Electromagnetic Field
MAXWELL'S THEORY OF ELECTROMAGNETISM
The Postulate
The Well-Posed Nature of the Postulate
Maxwell's Equations in Moving Frames
The Maxwell-Boffi Equations
Large-Scale Form of Maxwell's Equations
The Nature of the Four Field Quantities
Maxwell's Equations with Magnetic Sources
Boundary (Jump) Conditions
Fundamental Theorems
The Wave Nature of the Electromagnetic Field
THE STATIC ELECTROMAGNETIC FIELD
Static Fields and Steady Currents
Electrostatics
Magnetostatics
Static Field Theorems
TEMPORAL AND SPATIAL FREQUENCY DOMAIN REPRESENTATION
Interpretation of the Temporal Transform
The Frequency-Domain Maxwell Equations
Boundary Conditions on the Frequency-Domain Fields
The Constitutive and Kronig-Kramers Relations
Dissipated and Stored Energy in a Dispersive Medium
Some Simple Models for Constitutive Parameters
Monochromatic Fields and the Phasor Domain
Poynting's Theorem for Time-Harmonic Fields
The Complex Poynting Theorem
Fundamental Theorems for Time-Harmonic Fields
The Wave Nature of the Time-Harmonic EM Field
Interpretation of the Spatial Transform
Spatial Fourier Decomposition
Periodic Fields and Floquet's Theorem
FIELD DECOMPOSITIONS AND THE EM POTENTIALS
Spatial Symmetry Decompositions
Solenoidal-Lamellar Decomposition
Transverse-Longitudinal Decomposition
TE-TM Decomposition
INTEGRAL SOLUTIONS OF MAXWELL'S EQUATIONS
Vector Kirchoff Solution
Fields in an Unbounded Medium
Fields in a Bounded, Source-Free Region
MATHEMATICAL APPENDIX
The Fourier Transform
Vector Transport Theorems
Dyadic Analysis
Boundary Value Problems
USEFUL IDENTITIES
SOME FOURIER TRANSFORM PAIRS
COORDINATE SYSTEMS
PROPERTIES OF SPECIAL FUNCTIONS
Bessel Functions
Legendre Functions
Spherical Harmonics
REFERENCES