This textbook covers the advanced application and techniques of electrodynamics. The book begins with an introduction to the topic, with basic notations and equations presented, before moving on to examine various topics such as electromagnetic waves in a vacuum, the theory of relativity (including the Lorentz transformation) and electromagnetic fields in matter. Dispersion and transport are discussed, along with wave interactions in types of plasma and metamaterials, before the problems o...

This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a...

The dynamical projectors method proves to reduce a multicomponent problem to the simplest one-component problem with its solution determined by specific initial or boundary conditions. Its universality and application in many different physical problems make it particularly useful in hydrodynamics, electrodynamics, plasma physics, and boundary layer problems. A great variety of underlying mechanisms are included making this book useful for those working in wave theory, hydrodynamics, elect...