Nonlinear Optical Waves

Designed as a tutorial for the theory of non-linear waves in optics, this book emphasizes the basic aspects of the theory, analytical methods and 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. This volume should be of interest to those involved in electromagnetic theory, optics and optoelectronics, lasers and electro-optics, and the mathematics of physics.