{'fraction_non_alphanumeric': 0.016129032258064516, 'fraction_numerical': 0.0, 'mean_word_length': 5.6923076923076925, '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}}
An Improved Multimode Small Aperture/Obstacle Theory

We present a new and improved theory for small apertures and obstacles in multimode waveguide, and we show that for transverse discontinuities the resulting equivalent network differs from that obtained from earlier theory by simple added series or shunt elements. That simple network modification, however, yields greatly improved accuracy, as demonstrated in a specific example.