Fig. 1. VOF-Gen. (a) Schematic diagram of experimental setup. P, polarizer; L, lens; M, mirror; QWP, quarter-wave plate; SF, spatial filter. (b) Illustration of the PR setup and the effective rotation of the QWP fast axis for the incident (upper) and the reflected (lower) beams due to the mirror imaging of the laboratory coordinates in dashed lines.

Fig. 2. Structure and parameters of the desired optical field.

Fig. 3. Overall phase patterns displayed on VOF-Gen.

Fig. 4. Intensity distribution for desired optical field in the pupil plane: (a) theoretical and (b) experimental results. (c) Averaged amplitude distribution for experimental and theoretical results.

Fig. 5. Intensity distribution for five ring structured radially polarized fields after a polarizer with transmission axis orientation indicated by the arrows at 0°, 45°, 90°, and 135°. The upper row shows the theoretical results, and the lower row is for the experimental results.

Fig. 6. (a) Interference setup to verify the π phase shift that consists of a beamsplitter (BS) and two mirrors. (b) The required phase pattern loaded on VOF-Gen for π shift verification. (c) Interference fringes patterns of π phase jump.

Fig. 7. Intensity distributions and the electric field distributions in the focal region of a high NA (NA=0.95) objective lens (the polarization direction for the ONF is represented by arrows). (a) ONF calculated with the theoretical amplitude values; (b) focal field calculated with the experimentally obtained amplitude values; (c) zoomed-in picture of the area enclosed within the red dashed box in (a); (d) zoomed-in picture of the area enclosed within the red dashed box in (b).