Table of Contents

Chapter 1. Scalar and Vector Fields.
Chapter 2. Foundations of the Classical Maxwell-Lorentz Theory of Electrodynamics.
Chapter 3. Mathematical Preliminaries.
Chapter 4. Solving Maxwell's Equations.
Chapter 5. Solving Maxwell's Equations in Space-time: The Wave Equation.
Chapter 6. The Lorentz Oscillator Model.
Chapter 7. Plane Electromagnetic Waves in Isotropic, Homogeneous, Linear Media.
Chapter 8. Simple Applications Involving Plane Electromagnetic Waves.
Chapter 9. Maxwell's Equations in Cylindrical Coordinates.
Chapter 10. Electromagnetic Momentum, Angular Momentum, Force and Torque.
Chapter 11. Plane-wave Propagation in Linear, Homogeneous, Isotropic Media Exhibiting Temporal as well as Spatial Dispersion.
Chapter 12. The Reciprocity Theorem.
Solutions to Selected Problems. Annotation For the past 100 years physicists have debated the nature of the momentum of light inside material media. Hermann Minkowski, for example, asserts that within a transparent dielectric the momentum of a photon is the photon's vacuum momentum multiplied by the refractive index of the dielectric. An opposing theory postulated by Max Abraham, contends that the vacuum momentum must instead be divided by the refractive index. There have also been questions about the electromagnetic momentum inside magnetic media, and whether or not a part of the momentum is hidden. This book explains the laws of classical electrodynamics concisely and clearly, before elaborating on how to calculate force, torque, momentum and angular momentum using the exact forms of the laws, without any approximations. The author subsequently demonstrates what happens to the momentum of light when it enters various media (e.g., dielectric, magnetic, wholly or partially transparent, etc.). Thus the book provides a clear picture of the momentum of the electromagnetic field, resolves the Abraham-Minkowski controversy, and shows that there is no need for resorting to hidden momentum or any other exotic, unphysical concept. Numerical simulations are used along the way and throughout the chapters to elucidate the propagation of energy, momentum, and angular momentum under circumstances which are too complicated to solve analytically. This book is a useful resource for students and academics interested in quantum optics