Electromagnetics

Content: Introductory concepts -- Notation, conventions, and symbology -- The field concept of electromagnetics -- Historical perspective -- Formalization of field theory -- The sources of the electromagnetic field -- Macroscopic electromagnetics -- Impressed vs. secondary sources -- Surface and line source densities -- Charge conservation -- Magnetic charge -- Maxwell's theory of electromagnetism -- The postulate -- The Maxwell-Minkowski equations -- Connection to mechanics -- The well-posed nature of the postulate -- Uniqueness of solutions to Maxwell's equations -- Constitutive relations -- Maxwell's equations in moving frames -- Field conversions under Galilean transformation -- Field conversions under Lorentz transformation -- The Maxwell-Boffi equations -- Large-scale form of Maxwell's equations -- Surface moving with constant velocity -- Moving, deforming surfaces -- Large-scale form of the Boffi equations -- The nature of the four field quantities -- Maxwell's equations with magnetic sources -- Boundary (jump) conditions -- Boundary conditions across a stationary, thin source layer -- Boundary conditions across a stationary layer of field discontinuity -- Boundary conditions at the surface of a perfect conductor -- Boundary conditions across a stationary layer of field discontinuity using equivalent sources -- Boundary conditions across a moving layer of field discontinuity -- Fundamental theorems -- Linearity -- Duality -- Reciprocity -- Similitude -- Conservation theorems -- The wave nature of the electromagnetic field