Chirped Gaussian pulse propagation within the graded-index multimode fibers in the presence of third-order dispersion and Raman effect

We investigate the spatio-temporal propagation of the chirped Gaussian within the graded-index (GRIN) multimode fibers (MMFs). The process of the dispersive waves (DWs) formation can be influenced by the spatial self-imaging effect caused by the periodic oscillating effective beam area within the GRIN MMFs. In addition, the Raman-induced frequency shift (RIFS) effect of the Gaussian pulse is also influenced by the compression factor of the self-imaging effect, and the positive chirp parameter of the Gaussian pulse. Therefore, the emission of the DWs can be handled resultfully by changing the compression factor of the self-imaging effect within the GRIN MMFs. The results can make a further understanding of the RIFS and the generation of DWs within the GRIN MMFs, and lead an important guidance for the experiment.