{'fraction_non_alphanumeric': 0.026865671641791045, 'fraction_numerical': 0.0, 'mean_word_length': 5.643564356435643, '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}}
Numerical computation of dispersion curves for symmetric and asymmetric modes in an arbitrary cylindrical metal SWS

A method of quickly and accurately getting the dispersion curves for both symmetric and asymmetric modes in arbitrary slow-wave structures is investigated analytically. A universal dispersion equation is derived by utilizing the field theory and expressing the slow-wave structure's profile in a finite Fourier series. In principle, this method can be applied to arbitrary axisymmetric profiles. As examples, numerical results for three typical slow-wave structures (namely, rippled-wall, disk-loaded, and modified disk-loaded structures) are presented.