{'fraction_non_alphanumeric': 0.010917030567685589, 'fraction_numerical': 0.0, 'mean_word_length': 5.375, '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}}
Theoretical analysis of multimode instability in a laser with a saturable absorber

Two coupled complex Ginzburg-Landau equations are derived to described multimode operations of a ring unidirectional laser with a saturable absorber near the lasing threshold. We show that unlike a laser without absorber this laser can exhibit in low-intensity domain the Benjamin-Feir instability which is known to lead to very complicated behaviors including chaotic ones.