Elimination of spatiotemporal disorder by Fourier space techniques

A recently proposed method for the stabilization of unstable patterns uses an instantaneous feedback derived from the Fourier transform of the output [R. Martin et al., Phys. Rev. Lett. 66, 4007 (1996)]. We successfully extend this method to regimes of spatiotemporal disorder. By focusing on two different nonlinear optical systems, a laser and a Kerr slice with feedback, we demonstrate the usefulness, effectiveness, and generality of the technique. Our method allows for high power outputs without loss of spatial and temporal coherence. It also provides the possibility of pattern selection and, in some instances, tracking within a disordered regime.