The behavior of ultra-short electromagnetic pulses as they travel in dispersive media is impossible to analyze and model by the usual Fourier methods, which break down in such situations. Shvartsburg, one of the world's top experts, assembles here for the first time alternative mathematical methods and tools to accomplish these tasks, making this an important resource for researchers and practitioners in applied mathematics, laser physics, fiber optics, and telecommunications, among other fields. Time-domain transient electrodynamics of dispersive and lossy media form the subject of this book. This topic is associated with the unusual interactions between ultrashort transient signals and these media. Techniques based on such interactions find use in materials analysis, fractal communication, and energy transfer through dispersive and absorbing media. A. B. Shvartsburg is at Central Design Bureau for Unique Instrumentation, Moscow.