A comprehensive introduction to multiresolution time domain scheme

The rapid development of computer techniques and information technologies in recent decades has fueled the need for efficient tools for electromagnetic modeling of millimeter-wave integrated circuits, high-speed and high-density VLSI circuits, microwave and antenna design, and scattering analysis for large and complex targets. The multiresolution time domain (MRTD) scheme has excellent potential for satisfying this need. Multiresolution Time Domain Scheme for Electromagnetic Engineering examines the MRTD scheme and shows how it can be used to satisfy a variety of these technical needs.

This comprehensive resource presents a combination of theoretically advanced mathematical topics and their application in time domain and Maxwell solution techniques, in particular:

• 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
• Generalized differential matrix operators (GDMOs)

A comprehensive collection of integral relations, with detailed derivations of the MRTD update equations, is included for the reader's convenience.

Multiresolution Time Domain Scheme for Electromagnetic Engineering is a self-contained reference that engineers and scientists can use to learn advanced mathematical topics of multiresolution analysis and its application through MRTD. It is also eminently suitable for a stand-alone course for senior undergraduates and graduate students in a range of fields?including electrical engineering, physics, and applied mathematics?who wish to know more about the MRA concepts and MRTD applications in efficient computational electromagnetics.