From Electrostatics to Optics

0. Preliminaries.- 0.0 Historical Introduction.- 0.1 Some Topics of Analysis in ?3.- 0.2 The Laplace Equation.- 0.3 Problems.- 1. Electrostatics in Vacuum.- 1.1 Electric Charge, Field Strength and the Equations of Electrostatics.- 1.2 Multipole Expansion.- 1.3 Boundary Value Problems and Eigenfunction Expansion.- 1.4 Green’s Functions.- 1.5 Energy of the Electric Field.- 1.6 Problems.- 2. The Relativity Principles and Maxwell’s Equations.- 2.1 A Review of Special Relativity.- 2.2 Tensors in Minkowski Space.- 2.3 Lorentz Force and the Electromagnetic Field Tensor.- 2.4 Maxwell’s Equations.- 2.5 Discussion of Maxwell’s Equations, Induction Law.- 2.6 Conservation Laws.- 2.7 Problems.- 3. Electrodynamics in Vacuum.- 3.1 Stationary Magnetic Fields.- 3.2 Motion of Particles in Electromagnetic Fields.- 3.3 Electromagnetic Radiation.- 3.4 Production of Radiation, Electromagnetic Potentials.- 3.5 Electromagnetic Fields of Moving Particles.- 3.6 Lagrange Formalism of Electrodynamics.- 3.7 Problems.- 4. Phenomenological Electrodynamics in Simple Matter.- 4.1 Derivation of the Phenomenological Maxwell’s Equations.- 4.2 Phenomenological Maxwell’s Equations and Constitutive Relations.- 4.3 Macroscopic Conservation Laws, Boundary Conditions.- 4.4 Motion of Particles Through Matter.- 4.5 Problems.- 5. Optics.- 5.1 Reflection and Refraction.- 5.2 Light Scattering.- 5.3 Geometrical Optics.- 5.4 Diffraction.- 5.5 The Laser — An Optical Trumpet.- 5.6 Problems.- 6. Epilogue: Quantum Electrodynamics.