{'fraction_non_alphanumeric': 0.019230769230769232, 'fraction_numerical': 0.0, 'mean_word_length': 5.2844827586206895, '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}}
Optical polariton modes in a nanoscale semiconductor.

Because of the existence of an exciton-biexciton transition inside an optically excited semiconductor, the dielectric constant is modified to be a wave-vector-dependent function. The spatial dispersion relation leads to three propagating modes of polariton, for which two additional boundary conditions will be required. In the vicinity of a resonance, the mathematical study shows that two modes among the three dominate, and the third wave with a large imaginary part can be neglected without affecting the essential physics. Based on the study, a criterion is developed for selecting the appropriate modes. Numerical results are presented for a thin semiconducting film.