The aims of the book are: (1) to extend Maxwell theory to non-Abelian group forms; (2) to demonstrate that the foundations of electromagnetism are topological; (3) to show the multi-disciplinary nature of communications; (4) to demonstrate the effectiveness of modulated signals in penetrating media; (5) to demonstrate that geometric (Clifford) algebra is the appropriate algebra describing modulated signals.The book is important in indicating that the classical theory of electromagnetism, or Maxwell theory, can be developed to address situations and signals of differing symmetry form, and that different topological spaces require that development.

The book describes a new form of radar for which the target response is frequency, i.e., resonance-dependent. The book provides both prototype designs and empirical results collected from a variety of targets. The new form of radar, called RAMAR (Resonance and Aspect Matched Adaptive Radar) advances radar - mere ranging and detection - to the level of RF spectroscopy, and permits an advance of spectroscopic methods from optical, through infra-red and into the RF spectral range. The book will describe how a target's response can be a function of frequency components in the transmitted signal's envelope as well as the signal's carrier.

Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell's theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.

On three occasions and at different locations, conferences were held to honor the eightieth birthday of Professor Herbert Frohlich: on the 18th December, 1985, in Liverpool, England; on the 14th February, 1986, in Stuttgart, Germany; and on the 8th March, 1986, on the Palm Coast, Florida. This Festschrift is a compilation of the papers of those conferences. Frohlich's choice of problems, from the earliest days, was couched in the phy sics of intrinsically interacting systems of excitation. One example, in which he set the course of research which is still followed, concerned dielectric breakdown, developed from the 1930's over several decades. The interacting systems are the electrons (receiving energy from an electric field) and lattice atom motion (taking energy from the electrons via "electron-phonon" interaction, hence heat dissipa tion). There is a threshold field above which the latter cannot keep up with the former, and the combined system (electrons plus phonons) "runs away"; that is to say, collectively it switches to a new state."