I. Introduction
Vertical-Cavity surface-emitting lasers (VCSELs) find their use nowadays in a number of applications such as optical data communication and sensing. If required, these lasers can provide a single-mode circular beam at low cost. To obtain such a high-quality beam, it is necessary to restrict the transverse size of the cavity to a few micrometers. The small transverse size will limit the available output power to a few milliwatts typically [1]. This low output power level makes small-aperture VCSELs unsuitable for a number of applications such as illumination, projection, and printing. Then, the output power can easily be increased by raising the transverse size of the cavity [2]. This comes, however, at the expense of having a much reduced beam-quality: because of the large Fresnel number of such broad-area VCSELs (BA-VCSEL), multiple competing transverse modes will be emitted [3], [4].