Electromagnetics, Second Edition

Michigan State University, East Lansing, USA Lawrence Technological University, Southfield, Michigan, USA

• Introductory concepts Notation, conventions, and symbology The field concept of electromagneticsThe 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 equationsThe nature of the four field quantities Maxwell’s equations with magnetic sources Boundary (jump) conditions Fundamental theorems The wave nature of the electromagnetic field ProblemsThe static electromagnetic field Static fields and steady currents ElectrostaticsMagnetostatics Static field theorems Problems Temporal and spatial frequency domain representation Interpretation of the temporal transformThe frequency-domain Maxwell equations Boundary conditions on the frequency-domain fields The constitutive and Kronig–Kramers relationsDissipated and stored energy in a dispersive mediumSome simple models for constitutive parameters Monochromatic fields and the phasor domain Poynting’s theorem for time-harmonic fieldsThe complex Poynting theoremFundamental theorems for time-harmonic fieldsThe wave nature of the time-harmonic EM fieldInterpretation of the spatial transformSpatial Fourier decompositionPeriodic fields and Floquet’s theorem ProblemsField decompositions and the EM potentials Spatial symmetry decompositionsSolenoidal–lamellar decomposition Transverse–longitudinal decomposition TE–TM decompositionProblemsIntegral solutions of Maxwell’s equations Vector Kirchhoff solution Fields in an unbounded medium Fields in a bounded, source-free region ProblemsIntegral equations in electromagnetics A brief overview of integral equationsPlane-wave reflection from an inhomogeneous region Solution to problems involving thin wiresSolution to problems involving two-dimensional conductorsScattering by a penetrable cylinder ProblemsMathematical appendix The Fourier transformVector transport theoremsDyadic analysis Boundary value problems Useful identities Some Fourier transform pairs Coordinate systems Properties of special functions Bessel functionsLegendre functions Spherical harmonics Derivation of an integral identity References Index