{'fraction_non_alphanumeric': 0.01710376282782212, 'fraction_numerical': 0.0011402508551881414, 'mean_word_length': 5.651515151515151, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Tailored three-dimensional optical singularity structures in complex light fields

The study and application of structured light is mature in the transverse extent, whereas the third spatial dimension is rather unexploited though bearing many promising advancements with respect to super resolution and information content. We present complex light volumes that are shaped on-demand in their amplitude, phase and polarization in all spatial extents. By holographic beam shaping, we embed singularities in phase as well as polarization as skeleton of these structure. By transferring the self-imaging property of scalar beams to self-replicating vectorial light fields, we form 3d singular fields that include the creation and annihilation of singularities upon propagation. Furthermore we generate fields of sub-wavelength complexity by counter-propagation of structured light.