{'fraction_non_alphanumeric': 0.02926829268292683, 'fraction_numerical': 0.0, 'mean_word_length': 4.701388888888889, '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}}
TD-UTD for scattering from a smooth convex surface

A time domain uniform geometrical theory of diffraction (TD-UTD) formulation for the scattering from a smooth perfectly conducting convex surface is presented. The TD-UTD is obtained from the frequency domain UTD by an application of the analytic time transform (ATT). This TD-UTD formulation is valid when the observer and source are off of the surface. If the observer is located in the deep lit region, the TD-UTD reduces to the geometrical optics (GO) field. If the observer is in the deep shadow region, the TD-UTD field reduces to the creeping wave mode representation. Most importantly, the TD-UTD solution remains uniformly valid within the surface shadow boundary (SSB) transition region where neither the GO field nor the creeping wave mode fields are valid.