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.
- 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
Lund University, Sweden.
Gerhard Kristensson is Professor Emeritus at Lund University, Sweden, where he held the Chair of Electromagnetic Theory for 25 years. He has served as a member of the Board for Editors of Wave Motion, the Editorial Board and the International Advisory Panel of Inverse Problems, and the Review Board of Journal of Electromagnetic Waves and Applications and Progress in Electromagnetic Research. He is a Fellow of the Institute of Physics, and during 2006-2014 he was the chairman of the Swedish National committee of Radio Science (SNRV) and official representative for Sweden in the International Union of Radio Science (URSI). Professor Kristensson has a general interest in electromagnetic scattering problems and wave propagation in inhomogeneous media.