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.
Table of Contents:
1. Introduction. 2. Introduction to the Multiresolution Analysis. 3. MRA Families in MRTD Analysis. 4. Kernel of Multiresolution Time Domain Scheme. 5. PEC Boundary Truncation. 6. Open Boundary Truncation. 7. One-Dimensional MRTD Analysis. 8. Two-Dimensional MRTD Analysis. 9. Three-Dimensional MRTD Analysis. 10. MRTD Analysis for MMICS. 11. MRTD Scattering Analysis: 2D Cases. 12. MRTD Scattering Analysis: 3D Cases. Appendix A: Generalized Differential Matrix Operators. Appendix B: MRTD Orthogonal and Integral Relations. Appendix C: Update Equations in APML Regions. Appendix D: Expressions and Properties of the Cubic Battle-Lemarié Functions.