International audienceIn this paper we present the simulation results of two different methods of grating engineering (Genetic Algorithm and Discrete Layer Peeling) used for the synthesis of Bragg Gratings with a negative Group Time Delay. The physical structures of the resulting gratings, as well as their reflection spectra, are displayed for different initial parameters. These gratings could be employed (as it will be demonstrated) as cavity reflectors for the generation of a continuum laser emission by other means than those of nonlinear optics