I. Phase
(a) HG(0,1) beam
(b) HG(0,1) phase mask
(c) HG(1,0) beam
(d) HG(1,0) phase mask
(e) HG(2,0) beam
(f) HG(2,0) phase mask
(g) HG(1,1) beam
(h) HG(1,1) phase mask.
Figure 1: Simulation of HG beams. Each intensity pattern in the left column corresponds to a phase mask in the right column.
(a) LG(0,1) beam
(b) LG(0,2) beam.
Figure 2: Simulation of LG beams (intensity pattern only).
II. Phase x Amplitude

Figure 3: Superposition of HG(1,0) and HG(0,1) beams.
(a) Superposition of LG(0,1) and LG(0,-1) beams
(b) Superposition of LG(0,2) and LG(0,-2) beams
(c) Superposition of LG(0,1) and LG(0,-5) beams
(d) Superposition of LG(0,1) and LG(0,5) beams
Figure 4: Superposition of LG beams.
III. Phase x Amplitude (different beamwaist)

Figure 5: Superposition of HG(1,0) and HG(0,1) beams having different half width (
).
(a) Superposition of LG(0,1) and LG(0,-1) beams of different half width.
(b) Superposition of LG(0,2) and LG(0,-2) beams of different half width.
Figure 6: Superposition of LG Beams having different beamwaist (
).