The dataset includes the experimental data reported in the figures of the manuscript (Figs. 3, 5, 6, and 7). The experimental data are about the characterization of the laser systems reported in the article (VECSEL and Raman laser pumped by a VECSEL). Optical powers were measured using a Coherent 3Sigma laser power-meter, while spectra where taken using the Anritsu MS9710C optical spectrum analyser.