Electromagnetics

Introductory concepts Notation, conventions, and symbology The field concept of electromagnetics The sources of the electromagnetic field Problems Maxwell's theory of electromagnetism 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 Problems The static electromagnetic field Static fields and steady currents Electrostatics Magnetostatics Static field theorems Problems 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 Problems Field decompositions and the EM potentials Spatial symmetry decompositions Solenoidal-lamellar decomposition Transverse-longitudinal decomposition TE-TM decomposition Problems Integral solutions of Maxwell's equations Vector Kirchhoff solution Fields in an unbounded medium Fields in a bounded, source-free region Problems Integral equations in electromagnetics A brief overview of integral equations Plane-wave reflection from an inhomogeneous region Solution to problems involving thin wires Solution to problems involving two-dimensional conductors Scattering by a penetrable cylinder Problems 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 Derivation of an integral identity References Index