Graini, LeilaOrtaç, Bülend2024-03-082024-03-082023-07-200740-3224https://hdl.handle.net/11693/114424We numerically investigated a nonlinear Kerr beam self-cleaning (KBSC) dynamics accompanied by self-similar propagation regimes, which leads to single-mode parabolic pulse reshaping and simultaneously high beam quality based on KBSC, for special distributions of initially excited modes in graded-index multimode fiber (GRIN-MMF). We coupled a Gaussian pulse at 1060 nm, with 100 fs duration, into GRIN-MMF supporting 10 modes that fall into four discrete mode groups. As a result, by using initial powers below the KBSC threshold reported in the literature, the output spatial beam evolves from a speckled pattern into a bell-shaped beam; hence, the generated parabolic pulse is mainly carried by the fundamental mode, which is boosted by the KBSC process. We also provide promising indications for KBSC on different higher-order modes.enCC BY 4.0 DEED (Attribution 4.0 International)Multimode fibersgraded-index fibresgraded-index multimode fibershigh beam qualityparabolic pulsepropagation regimespulse reshapingself cleaningself-similar propagationsingle modespatial beamsGaussian beamsArticle10.1364/JOSAB.4915861520-8540