Synopses & Reviews
This book has been designed as a tutorial for the theory of non-linear waves in optics. The emphasis is on the basic aspects of the theory, on analytical methods and on non-dissipative phenomena. The self-induced transparency phenomenon and short pulse propagation in fibres are good examples of the important role solitons play in non-linear optics. The classical problem of non-linear optics is the parametric interaction of waves. Three- and four-wave parametric interaction processes are of particular interest because they enable new applications of the inverse scattering transform method to non- linear systems without any dispersion. Surface and guided waves are considered as specific examples of non-linear integrated optics. Audience: This volume will be of interest to those involved in electromagnetic theory, optics and optoelectronics, lasers and electro-optics, and the mathematics of physics.
Review
`On the whole, the book is an excellent reference and a useful tool for undergraduate and postgraduate students, young researchers as well as senior faculty members in colleges and universities in this exciting area. I strongly recommend this book for libraries.' Mathematical Reviews
Review
`On the whole, the book is an excellent reference and a useful tool for undergraduate and postgraduate students, young researchers as well as senior faculty members in colleges and universities in this exciting area. I strongly recommend this book for libraries.'
Mathematical Reviews
Table of Contents
Preface.
1. Basic equations.
2. Coherent transient phenomena.
3. Inverse Scattering Transform method.
4. Self-Induced Transparency.
5. Coherent Pulse Propagation.
6. Optical solitons in fibres.
7. Parametric interaction of optical waves.
8. Non-linear waveguide structures.
9. Thin film of resonant atoms: a simple model of non-linear optics.
Appendix 1: The density matrix equation of a system in broadband thermostat.
Appendix 2: The density matrix equation for a gas medium.
Appendix 3: Adiabatic following approximation.
Appendix 4: Relation between exactly integrable models in resonance optics. Index.