Multiresolution Time Domain Scheme for Electromagnetic Engineering

Multiresolution Time Domain Scheme for Electromagnetic Engineering examines the multiresolution time domain (MRTD) scheme and shows how it can be used to satisfy a variety of technical needs. This comprehensive resource presents a combination of theoretically advanced mathematical topics and their application in time domain Maxwell solution techniques. These topics include concepts of signal space, the multiresolution analysis (MRA), and scaling and wavelet functions; construction of MRA families; interconnection among the MRTD, finite difference time domain (FDTD), and MoM; MRTD boundary truncations; MRTD plane wave incidence, near-to-far-field transform, and scattering analysis; MRTD applications on microwave and millimeter wave integrated circuits; and generalized differential matrix operators (GDMOs). This text offers an invaluable, stand-alone reference for scientists, engineers, and students in a wide range of fields.

Though the scheme has grown dramatically over the past decade, say electrical engineers Chen (U. of South Carolina-Columbia), Qunsheng Cao (U. of Minnesota-Minneapolis) and Raj Mittra (Pensylvania State U.), few texts and research books have focused on it. Attributing this largely to the mathematics of it being quite challenging for most electrical and electronic engineers, and to the lack of familiarity among mathematicians with the electromagnetic wave engineering applications of the scheme, they seek to bridge the two fields at this particular topic. They have researched references and tested numerical implementations in order to clarify concepts and allow readers to learn them quickly. The study can be used as a self-study guide for engineers and scientists, or as a graduate or senior undergraduate textbook in electrical engineering, physics, or applied mathematics. Annotation ©2004 Book News, Inc., Portland, OR

YINCHAO CHEN, PHD, is Associate Professor in the Department of Electrical Engineering at the University of South Carolina. Dr. Chen has published over 140 international articles in refereed journals (and conference proceedings), and is also the coauthor, coeditor, and contributing author of several books.

QUNSHENG CAO, PHD, earned his doctorate degree at the Hong Kong Polytechnic Institute in 2001. He is currently a postdoctoral research associate in the Army High Performance Computing Research Center at the University of Minnesota in Minneapolis.

RAJ MITTRA, PHD, is Professor in the Electrical Engineering Department of The Pennsylvania State University and the Director of the Electromagnetic Communication Laboratory. Dr. Mittra is a Life Fellow of the IEEE, a past president of APS, and has served as the editor of the IEEE Transactions of Antennas and Propagation.