  We present a novel scheme of structured light laser with an astigmatic mode
converter (AMC) as intracavity element, first enabling the generation of
Hermite-Gaussian (HG) modes with fully controlled two-dimensional (2D) indices
(m,n) and vortex beams carrying orbital angular momentum (OAM) directly from
cavity. The 2D tunability was realized by controlling the off-axis
displacements of both pump and intracavity AMC. The output HGm,n beam could be
externally converted into OAM beam with 2D tunable radial and azimuthal indices
(p,l). With the certain parameter control, vortex beam carrying OAM also could
be directly generated from the cavity. Our setup provides a compact and concise
structured light source. It has great potential in extending various
applications of optical tweezers, communications, and nonlinearity.
