Fabio Mangini, Alioune Niang, Daniele Modotto, Stefan Wabnitz, Marc Fabert, Alessandro Tonello, Umberto Minoni, Vincent Couderc, XLIM (XLIM), and Université de Limoges (UNILIM)-Centre National de la Recherche Scientifique (CNRS)
International audience; We demonstrate self-induced high beam quality recovery in Er-Yb codoped multimode active fiber with parabolic refractive index profile of the core. Nonlinear beam cleanup is accompanied by Raman and parametric instability sideband generation. Graded-index (GRIN) multimode fibers (MMFs) have become essential tools in the study of spatiotemporal and spectral dynamics of optical waves. These fibers exhibit a periodic self-imaging effect, leading to a periodic refrac-tive index modulation induced by Kerr nonlinearity, and have low modal dispersion, which permits fiber modes to have long interaction lengths. Multimode optical solitons [1], geometrical parametric instabilities (GPI) [2], modulation instability [3], Kerr beam-self-cleaning [4], ultra-wide supercontinuum generation [5, 6], and intermodal four-wave mixing (IFWM) [7, 8] can be cited among the major experimental advances. Nonlinear propagation has been investigated in both the normal and anomalous dispersion regime, by using standard GRIN MMFs, including passive [9] and active [10] multimode tapers. Here we demonstrate the possibility of generating, via Kerr self-cleaning, a high quality beam in a specially designed Erbium-Ytterbium codoped (EYD) MMF with a parabolic index profile. Our experimental results in a passive configuration (i.e., without any pump laser diode) confirm the self-cleaning of a highly multimode beam, leading to record improved beam quality (M 2 = 1.5), accompanied by spectral broadening and different nonlinear frequency conversion processes. The specially designed Erbium-Ytterbium codoped (EYD) GRIN MMF fiber, with uniform doping distribution in the core cross-section, mass concentration of 1.4 % for Yb and 0.6 % for Er, has a core diameter of 65 µm and square cladding with 200 µm side. In order to study nonlinear beam dynamics in a 3 m long EYD GRIN MMF, we used an input Gaussian beam at 1064 nm, with a pulse duration of 500 ps and a repetition rate of 500 Hz. We used a polarizing beam-splitter and two half-wave plates for adjusting peak power and polarization state of the input beam, which was focused into the Er-Yb MMF with a beam diameter of 14 µm at full width of half maximum intensity (FWHMI). The output beam was imaged with a micro-lens on a CCD camera and on the input of an optical spectrum analyzer, to monitor spatial and spectral distributions, respectively. First, by increasing the input coupled peak power (P in) from 0.7 kW up to 56 kW (maximum input peak power), we characterized the output spatial intensity distributions as a function of the power injected into the EYD MMF. Different transverse modes were excited: for low values of input coupled peak power, the spatial output beam pattern was speckled. Increasing of the input peak power leads to a self-organization of the output transverse intensity distribution, leading to spatial beam cleanup above P in =5 kW, that we attribute to Kerr self-cleaning. The insets of Fig. 1a summarize these observations. Next, we studied the power dependence of the output spectrum profile (see Fig. 1b). The output spectral distribution remained almost unchanged as a function of input peak power, well above the appearance of self-cleaning. With an input peak power around 20 kW, large pedestals appear around 1064 nm and 1550 nm (red curve in Fig. 1b). The pedestal close to 1064 nm comes from self-phase modulation, while that around 1550 nm can be related to energy transfer from Yb ions toward Er ions. The intensity of both pedestals increases with input peak power, until stimulated Raman scattering (SRS) leads to a Stokes peak at 1116 nm (corresponding to a-13.4 THz shift) for P in =24 kW (blue curve). Moreover, for P in =29 kW we observed two sidebands at 1041 nm and 1088 nm (green curve), corresponding to a ±6.4 THz shift. The presence of these two sidebands may be attributed to IFWM. At the input peak power of 37 kW, we observed an anti-Stokes sideband at 1016 nm (magenta curve). By gradually increasing the input peak power, significant spectral broadening around 1064 nm and towards longer wavelengths can be observed. Finally, from P in =52.6 kW to P in =56 kW we observed the generation of two additional spectral peaks in the visible region: 739 nm (124 THz) and 624 nm (199 THz).