Nonlinear Talbot effect of rogue waves

Nonlinear Talbot effect.

We propose and experimentally demonstrate the nonlinear Talbot effect from nonlinear photonic crystals. The nonlinear Talbot effect results from self-imaging of the generated periodic intensity pattern at the output surface of the crystal. To illustrate the effect, we experimentally observed second-harmonic Talbot self-imaging from 1D and 2D periodically poled LiTaO(3) crystals. Both integer an...

Theory of nonlinear Talbot effect

The nonlinear Talbot effect, in which self-images are formed by generated parametric light from the nonlinear optical process, is presented in this paper. The comparison is made between the conventional Talbot effect and the newly observed nonlinear case. The essence of such nonlinear self-images is provided and future work on this effect is also discussed. The conceptional extension achieved h...

Rogue waves

“It came from nowhere, snapping giant ships in two. No one believed the survivors ... until now” screamed the cover of New Scientist magazine on 30 June 2001, introducing an article entitled “Monsters of the Deep”. The power and danger suggested by the term “rogue” add to the public fascination with extreme ocean waves, but they also present important and challenging scientific problems and pro...

Generation of Caustics and Spatial Rogue Waves from Nonlinear Instability

Rogue waves and rational solutions of the nonlinear Schrödinger equation.

We present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear Schrödinger equation and present explicit forms for these solutions from first to fourth order. We also explain their relation to the highest amplitude part of a field that starts with a plane wave perturbed by random small amplitude radiation waves. Our work can elucidate the appearance of rogue ...