Inverse scattering and the three-wave interaction in nonlinear optics: A review

The application of the inverse scattering transform method (ISTM), a relatively new and potentially powerful analytic tool, to the three-wave interaction problem in nonlinear optics is reviewed. The method is particularly useful for the theoretical study of laser-induced dynamic gratings. As an illustrative example, the case of the electrostrictively induced sound wave is outlined in some detail. Other examples of the three-wave interaction, including those yielding soliton solutions, are also discussed. An extensive list of references to theory, experiment, and possible and actual applications is given.