2.8.4 Boundary conditions across a stationary layer of field discontinuity using equivalent sources 2.8.5 Boundary conditions across a moving layer of field discontinuity 2.9 Fundamental theorems 2.9.1 Linearity 2.9.2 Dualit 2.9.3 Reciprocity 2. 9.4 Similitude 2.9.5 Conservation theorems 2.10 The wave nature of the electromagnetic field omagnetic waves 2. 10.2 Wave equation for bianisotropic materials 2. 10.3 Wave equation in a conducting medium 2. 10.4 Scalar wave equation for a conducting medium 2. 10.5 Fields determined by Maxwell's equations vs fields determined by the wave equation 2. 10.6 Transient uniform plane waves in a conducting medium 2.10.7 Propagation of cylindrical waves in a lossless medium 2. 10.8 Propagation of spherical waves in a lossless medium 2. 10.9 Nonradiating sources 2.11 Problems 3 The static electromagnetic field 3.1 Static fields and steady currents 3.1.1 Decoupling of the electric and magnetic fields 3.1.2 Static field equilibrium and conductors 3.1.3 Steady current 3.2 Electrostatics 3.2.1 The electrostatic potential and wor 3.2.2 Boundary conditions 3.2.3 Uniqueness of the electrostatic field 2.4 Poisson's and Laplace's equations 3.2.5 Force and energy 3.2.6 Multipole expansion 3.2.7 Field produced by a permanently polarized bod 3.2.8 Potential of a dipole layer 3.2.9 Behavior of electric charge density near a conducting edge 3.2.10 Solution to Laplace's equation for bodies immersed in an impressed field 3.3 Magnetostatics 3.3.1 The magnetic vector potential 3.3.2 Multipole expansion 3.3.3 Boundary conditions for the magnetostatic field 3.3.4 Uniqueness of the magnetostatic field 3.3.5 Integral solution for the vector potential 3.3.6 Force and energy 3.3.7 Magnetic field of a permanently magnetized body 3.3.8 Bodies immersed in an impressed magnetic field: magnetostatic shielding 3.4 Static field theorems 0 2001 by CRC Press LLC2.8.4 Boundary conditions across a stationary layer of field discontinuity using equivalent sources 2.8.5 Boundary conditions across a moving layer of field discontinuity 2.9 Fundamental theorems 2.9.1 Linearity 2.9.2 Duality 2.9.3 Reciprocity 2.9.4 Similitude 2.9.5 Conservation theorems 2.10 The wave nature of the electromagnetic field 2.10.1 Electromagnetic waves 2.10.2 Wave equation for bianisotropic materials 2.10.3 Wave equation in a conducting medium 2.10.4 Scalar wave equation for a conducting medium 2.10.5 Fields determined by Maxwell’s equations vs. fields determined by the wave equation 2.10.6 Transient uniform plane waves in a conducting medium 2.10.7 Propagation of cylindrical waves in a lossless medium 2.10.8 Propagation of spherical waves in a lossless medium 2.10.9 Nonradiating sources 2.11 Problems 3 The static electromagnetic field 3.1 Static fields and steady currents 3.1.1 Decoupling of the electric and magnetic fields 3.1.2 Static field equilibrium and conductors 3.1.3 Steady current 3.2 Electrostatics 3.2.1 The electrostatic potential and work 3.2.2 Boundary conditions 3.2.3 Uniqueness of the electrostatic field 3.2.4 Poisson’s and Laplace’s equations 3.2.5 Force and energy 3.2.6 Multipole expansion 3.2.7 Field produced by a permanently polarized body 3.2.8 Potential of a dipole layer 3.2.9 Behavior of electric charge density near a conducting edge 3.2.10 Solution to Laplace’s equation for bodies immersed in an impressed field 3.3 Magnetostatics 3.3.1 The magnetic vector potential 3.3.2 Multipole expansion 3.3.3 Boundary conditions for the magnetostatic field 3.3.4 Uniqueness of the magnetostatic field 3.3.5 Integral solution for the vector potential 3.3.6 Force and energy 3.3.7 Magnetic field of a permanently magnetized body 3.3.8 Bodies immersed in an impressed magnetic field: magnetostatic shielding 3.4 Static field theorems