Typically the undergraduate program in electricity and magnetism involves two or, perhaps, three semesters beyond elementary physics, with the emphasis on the fundamental laws, laboratory verification and elaboration of their consequences, circuit analysis, simple wave phenomena, and radiation. The mathematical tools utilized include vector calculus, ordinary differential equations with constant coefficients, Fourier series, and perhaps Fourier or Laplace transforms, partial differential equations, Legendre polynomials, and Bessel functions.
The first aim of this book is to present the basic subject matter as a coherent whole, with emphasis on the unity of electric and magnetic phenomena, both in their physical basis and in the mode of mathematical description. The second, concurrent aim is to develop and utilize a number of topics in mathematical physics which are useful in both electromagnetic theory and wave mechanics. These include Green’s theorems and Green’s functions, orthonormal expansions, spherical harmonics, cylindrical and spherical Bessel functions.
- Introduction to Electrostatics.
- Boundary-Value Problems in Electrostatics: I.
- Boundary-Value Problems in Electrostatics: II.
- Multipoles, Electrostatics of Macroscopic Media, Dielectrics.
- Magnetostatics, Faraday’s Law, Quasi-Static Fields.
- Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws.
- Plane Electromagnetic Waves and Wave Propagation.
- Waveguides, Resonant Cavities, and Optical Fibers.
- Radiating Systems, Multipole Fields and Radiation.
- Scattering and Diffraction.
- Special Theory of Relativity.
- Dynamics of Relativistic Particles and Electromagnetic Fields.
- Collisions, Energy Loss, and Scattering of Charged Particles, Cherenkov and Transition Radiation.
- Radiation by Moving Charges.
- Bremsstrahlung, Method of Virtual Quanta, Radiative Beta Processes.
- Radiation Damping, Classical Models of Charged Particles.
John David Jackson