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Full Description
This book is an introduction to some of the most important properties of electromagnetic waves and their interaction with passive materials and scatterers. The main purpose of the book is to give a theoretical treatment of these scattering phenomena, and to illustrate numerical computations of some canonical scattering problems for different geometries and materials. The scattering theory is also important in the theory of passive antennas, and this book gives several examples on this topic.
Topics covered include an introduction to the basic equations used in scattering; the Green functions and dyadics; integral representation of fields; introductory scattering theory; scattering in the time domain; approximations and applications; spherical vector waves; scattering by spherical objects; the null-field approach; and propagation in stratified media.
The book is organised along two tracks, which can be studied separately or together. Track 1 material is appropriate for a first reading of the textbook, while Track 2 contains more advanced material suited for the second reading and for reference. Exercises are included for each chapter.
Contents
Chapter 1: Basic Equations
Chapter 2: The Green Functions and Dyadics
Chapter 3: Integral Representation of Fields
Chapter 4: Introductory Scattering Theory
Chapter 5: Scattering in the Time Domain
Chapter 6: Approximations and Applications
Chapter 7: Spherical Vector Waves
Chapter 8: Scattering by Spherical Objects
Chapter 9: The Null-Field Approach
Chapter 10: Propagation in Stratified Media
Appendix A: Vectors and Linear Transformations
Appendix B: Bessel Functions
Appendix C: Spherical Harmonics
Appendix D: The Fourier and Other Transforms
Appendix E: Relativity
Appendix F: Some Useful Mathematical Results
Appendix G: Asymptotic Evaluation of Integrals
Appendix H: The Nabla Operator in Curvilinear Coordinate Systems
Appendix I: Notation
Appendix J: Units and Constants
