Optical Applications of the Nonlinear Schrödinger Equation
The Nonlinear Schrödinger Equation (NLSE) has been vital to the fundamental understanding of various areas of optical sciences over the last few decades. In its practical implementation, the NLSE has undergone several modifications to describe more adequately the various optical phenomena it purports. Maxwell's equations together with the nonlinear contributions of the optical field prescribe the current incarnation of the NLSE for several optical applications. A description of the evolution of the NLSE and its applications to optics will be shown with some examples. These include the design and development of integrated optic and fiber optics components, fiber optic communication, free space laser communications and laser directed energy.