{'fraction_non_alphanumeric': 0.01699029126213592, 'fraction_numerical': 0.0, 'mean_word_length': 5.3538461538461535, '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}}
Airy beams and paraxiality

The ‘paraxiality’ of some Airy-function-related beams is discussed specifically on the basis of two paraxiality criteria, the paraxiality estimator and the degree of paraxiality, that have been recently introduced in the literature with the intent of assessing the limits of the paraxial approach to light field propagation analysis and of quantifying the paraxiality of a light beam.