Basic Electromagnetism

1 Introduction.- 2 Electrostatics.- 2.1 Coulomb's law.- 2.2 Gauss's law.- 2.3 Electric potential.- 2.4 Electrostatic energy.- 2.5 Dielectrics.- 3 Electric potential and fields.- 3.1 Poisson's and Laplace's equations.- 3.2 Solutions of Laplace's equation.- 3.3 Electrical images.- 3.4 Electron optics.- 4 Magnetostatics.- 4.1 Electric current.- 4.2 Lorentz force.- 4.3 Biot-Savart law.- 4.4 Forces between currents.- 4.5 Ampère's law and magnetic flux.- 5 Electromagnetism.- 5.1 Faraday's law.- 5.2 Applications of Faraday's law.- 6 Magnetism.- 6.1 Magnetization of matter.- 6.2 Characteristics of B and H.- 6.3 Magnetism in matter.- 6.4 Production of magnetic fields.- 7 Maxwell's equations.- 7.1 Gauss's and Faraday's laws.- 7.2 Ampère's and Maxwell's laws.- 7.3 Statics and dynamics.- 7.4 Free space and matter.- 8 Electromagnetism and relativity.- 8.1 Lorentz transformations.- 8.2 Fields of moving charges.- 8.3 Vector potentials.- 8.4 Energy of electromagnetic field.- 8.5 Retarded potentials.- 9 Electromagnetic waves in space.- 9.1 Wave equations.- 9.2 Plane waves.- 9.3 Spherical waves.- 9.4 Energy density and energy flow.- 10 Electromagnetic waves in dielectrics.- 10.1 Polarization of dielectrics.- 10.2 Wave parameters in dielectrics.- 10.3 Absorption and dispersion.- 11 Reflection and refraction.- 11.1 Boundary relations.- 11.2 Fresnel's equations.- 11.3 Energy flow at a boundary.- 11.4 Total internal reflection.- 12 Electromagnetic waves in conductors.- 12.1 Wave parameters in conductors.- 12.2 Wave impedance and reflectance.- 12.3 Energy flow and radiation pressure.- 12.4 Plasmas.- 13 Generation of electromagnetic waves.- 13.1 Hertzian dipole.- 13.2 Radiant energy and power.- 13.3 Antennas.- 13.4 Scattering.- 14 Guided waves.- 14.1 Waveguideequation.- 14.2 Rectangular waveguides.- 14.3 Waveguide modes.- 14.4 Cavities.- Further reading.- Appendix A Electromagnetic quantities.- Appendix B Gaussian units.- Appendix C Physical constants.- Appendix D Electromagnetic spectrum.- Appendix E Vector calculus.- Appendix F Lorentz transformations.- Appendix G Exercises.- Appendix H Answers to exercises.