Characterization and compensation of phase distortions in holograms for generating and detecting doughnut beams

Raster scan systems can introduce cubic and quadratic phase distortions in holograms for generating and detecting doughnut beams. The distortions can be corrected by subtracting corresponding terms from the hologram design. The compensation parameters can be determined by fabricating test holograms and applying rotational symmetry analysis to the intensity distribution of the generated beams. The 2- and 3-fold rotational symmetry components are shown to be effective in determining quadratic and cubic corrections respectively, and in the final corrected hologram the total contribution of anisotropic intensity components was reduced to 0.3%.