Electromagnetics

Between a first undergraduate course in electromagnetism (EM) and the advanced graduate course lies a middle ground that is essential to engineering students yet virtually ignored by most curricula. It is the transition from the basic, more superficial treatments to the sharply focused graduate studies that solidifies students' understanding of EM fundamentals before they move on to a specialized area of research. And it is here that academia-and practitioners still uneasy about the fundamentals-have lacked the appropriate "intermediate" text. Electromagnetics provides that transition. Emphasizing concepts over problem-solving techniques, it focuses on the topics most important to EM research and those most troublesome to beginning graduate students. In Part I, the authors cover the required mathematics background and introduce the primary physical principles. From a well-posed postulate, Part II builds a complete description of the EM field in free space, and Part III completes the study by investigating the behavior of the EM field in a variety of materials. Stressing both a physical understanding and a detailed mathematical description of each topic, this text provides an account of EM theory that is in-depth, lucid, and accessible. Highly engaging prose, clear, concise explanations, and numerous examples relating concepts to modern engineering applications create a comfortable atmosphere that enhances the reader's grasp of the material. Electromagnetics thus builds a foundation that allows readers to proceed with confidence to advanced EM studies, research, and applications.

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