Most textbooks on electromagnetism, for an undergraduate or graduate level, focus largely on the problems of electrostatics and magnetostatics and electromagnetic waves are left as a relatively small part of the latter part of the book. Furthermore, most of these books are oriented towards general physics and do not cover electromagnetic waves from a perspective useful for optical scientists and engineers. This book will give a full optics-focused discussion of electromagnetic waves and will not only cover the fundamentals of electromagnetic waves but also the most recent intriguing applications of electromagnetism in optics.
This book will be an in-depth textbook introducing and covering all topics related to the fact that light is a transverse electromagnetic wave. It will begin with a discussion of the history of Maxwell's equations, from which the wave properties of light were first deduced, and then move into the fundamentals of electromagnetic waves, such as the polarization of light, energy and momentum conservation, and basic solutions of Maxwell's equations. From there, it will move into more practical topics: light propagation in matter of various types, light propagation through interfaces, light propagation in waveguides (like fibre optic cables), and light scattering. My goal is to give a lot of discussion of modern developments in optics where electromagnetism is necessary to understand the phenomena; this includes structured light (light with unusual polarization properties), metamaterials with magnetic properties or negative refraction, surface plasmons (electromagnetic surface waves), geometric phases (used to manipulate the phase of light), fibre optics, optical tweezing, and transformation optics (used to design things like invisibility cloaks!).
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