Rogue waves as energy concentrators in arrays of coupled nonlinear waveguides

摘要

In array of nonlinear waveguides, a giant compression of the input beam can be achieved by exciting a rogue wave. Input field almost homogeneously distributed over hundreds of waveguides concentrates practically all the energy into a single waveguide at the output plane of the structure. We determine the required input profile of the electric field to achieve maximal energy concentration at output. We illustrate the phenomenon modeling the array by direct numerical simulations of the discrete nonlinear Schrodinger equation.