In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media. The development in this expanded, updated, and reorganized new edition is mathematically rigorous, progressing from classical theory to the asymptotic description of pulsed wave fields in Debye and Lorentz model dielectrics, Drude model conductors, and composite model semiconductors. It will be of use to researchers as a resource on electromagnetic radiation and wave propagation theory with applications to ground and foliage penetrating radar, medical imaging, communications, and safety issues associated with ultrawideband pulsed fields. With meaningful exercises, and an authoritative selection of topics, it can also be used as a textbook to prepare graduate students for research.

Volume 2 presents a detailed asymptoticdescription of plane wave pulse propagation in dielectric, conducting, and semiconducting materials as described by the classical Lorentz model of dielectric resonance, the Rocard-Powles-Debye model of orientational polarization, and the Drude model of metals. The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation. The second edition contains new material on the effects of spatial dispersion on precursor formation, and pulse transmission into a dispersive half space and into multilayered media.

Volume 1 covers spectral representations in temporally dispersive media.

Autorentext

Kurt Oughstun is a Professor of Electrical Engineering, Mathematics and Computer Science in the College of Engineering & Mathematics at the University of Vermont where he was University Scholar in the Basic and Applied Sciences. A graduate of The Institute of Optics at the University of Rochester, he is a Fellow of the Optical Society of America, a member of the European Optical Society and a member of the United States National Committee of the International Union of Radio Science. His research centers on electromagnetic and optical wave theory, asymptotic methods of analysis, and computational techniques. He has published extensively on his research in these areas in such journals as the Journal of the Optical Society of America A & B, Journal of the European Optical Society A, Physical Review A & E, Physical Review Letters, IEEE Proceedings, and Radio Science.

Inhalt

Preface to the Second Revised Edition.- Preface.- Chapter 10: Asymptotic Methods of Analysis using Advanced SaddlePoint Techniques.- Chapter 11: The Group Velocity Approximation.- Chapter 12: Analysis of the Phase Function and Its Saddle Points.- Chapter 13: Evolution of the Precursor Fields.- Chapter 14: Evolution of the Signal.- Chapter 15: Continuous Evolution of the Total Field.- Chapter 16: Physical Interpretations of Dispersive Pulse Dynamics.- Chapter 17: Applications.- Appendix: Asymptotic Expansion of Single Integrals.- Index.