{'fraction_non_alphanumeric': 0.030337078651685393, 'fraction_numerical': 0.0044943820224719105, 'mean_word_length': 5.144827586206897, '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}}
A Group of Near-field Coupling Formulae for Closely Spaced Electrically Large Antennas by Modified Friis Equation and Power Balance Theory

This paper has theoretically presented a group of the near-field mutual coupling formulae for the closely spaced electrically large antennas (ELAs) when the normalized far-field distance no more than 0.125 by the modified Friis transmission equation (MFTE) and the uniform path-loss (UPL) model based on the power balance theory (PBT). Firstly, the near-field MFTE and the surface area of the Fresnel ellipsoid has been introduced. Secondly, the on-axis or off-axis coupling formula in the Fresnel region has been deduced, respectively. Finally, the effectiveness has been validated by comparing the near-field measurements with the numerical simulation. It shows that this paper suggested formulae are effective on ELAs near-field coupling forecast.