Stable one-dimensional periodic waves in Kerr-type saturable and quadratic nonlinear media

We review the latest progress and properties of the families of bright and dark one-dimensional periodic waves propagating in saturable Kerr-type and quadratic nonlinear media. We show how saturation of the nonlinear response results in appearance of stability (instability) bands in focusing (defocusing) medium, which is in sharp contrast with the properties of periodic waves in Kerr media. One of the key results discovered is the stabilization of multicolor periodic waves in quadratic media. In particular, dark-type waves are shown to be metastable, while bright-type waves are completely stable in a broad range of energy flows and material parameters. This yields the first known example of completely stable periodic wave patterns propagating in conservative uniform media supporting bright solitons. Such results open the way to the experimental observation of the corresponding self-sustained periodic wave patterns.Comment: 29 pages, 10 figure

Parallel simulation of photorefractive material for the design of all-optical components

International audienceModelisation and simulation of promising non linear optical materials such as photorefractive materials is a field which generates complexity. The involved non linear phenomena imply the use of highly numeric, computer intensive methods. The simulation of the propagation of an optical pulse in a photorefractive non linear media is here simulated thanks to the collaboration between physicists and computer scientists, through the use of parallel implementation and sequential optimizatio