In this paper we explore vortex beams and in particular the generation of single LG0l modes and superpositions thereof.
Vortex beams carry orbital angular momentum (OAM) and this intrinsic property makes them prevalent in transferring
this OAM to matter and to be used in quantum information processing. We explore an extra-cavity and intra-cavity
approach in LG0l mode generation respectively. The outputs of a Porro-prism resonator are represented by "petals" and
we show that through a full modal decomposition, the "petal" fields are a superposition of two LG0l modes.