A process for obtaining a structure having a textured external surface for an organic light-emitting device, which structure includes a mineral glass substrate having a surface which is provided with projections and depressions, the process including the deposition of an etching mask on the surface of the substrate and the etching of the surface of the substrate around the etching mask, and possible removal of the mask, wherein one of the steps of preparing the etching mask consists in forming a multitude of nodules randomly arranged on the surface of the substrate and made of a material possessing no affinity with the glass and wherein, after the etching step, the structure undergoes a moderating step in which the slopes of the projections of submicron height and width obtained by etching are moderated sufficiently to form the thus moderated textured external surface.