Analysis of temporal structure of laser chaos by Allan variance Article Swipe

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Naoki Asuke , Nicolas Chauvet , André Röhm , Kazutaka Kanno , Atsushi Uchida , Tomoaki Niiyama , Satoshi Sunada , Ryoichi Horisaki , Makoto Naruse ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2208.02961

Allan variance has been widely utilized in evaluating the stability of the time series generated by atomic clocks and lasers, in time regimes ranging from short to extremely long. This multi-scale examination capability of the Allan variance may also be beneficial in evaluating the chaotic oscillating dynamics of semiconductor lasers, not just for conventional phase stability analysis purposes. Here we demonstrate Allan variance analysis of the complex time series generated by a semiconductor laser with delayed feedback, including low-frequency fluctuations (LFFs), which exhibit both fast and slow dynamics. Whereas the detection of LFFs is not easy with the conventional power spectrum analysis method in the low-frequency regime, we show that the Allan variance approach clearly captured the appearance of multiple time-scale dynamics, like LFFs. This study demonstrates that Allan variance can help in understanding and characterizing versatile laser dynamics, including LFFs, which involve dynamics spanning a wide range of time scales.

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Allan variance Variance (accounting) Chaotic Statistical physics Stability (learning theory) Laser Scale (ratio) Series (stratigraphy) Time series Computer science Optics Physics Mathematics Statistics Standard deviation Artificial intelligence Geology Quantum mechanics Paleontology Business Accounting Machine learning

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2208.02961
PDF: https://arxiv.org/pdf/2208.02961
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DOI: https://doi.org/10.48550/arxiv.2208.02961

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Title: Analysis of temporal structure of laser chaos by Allan variance

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Language: en

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Publication year: 2022

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Publication date: 2022-08-05

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Authors: Naoki Asuke, Nicolas Chauvet, André Röhm, Kazutaka Kanno, Atsushi Uchida, Tomoaki Niiyama, Satoshi Sunada, Ryoichi Horisaki, Makoto Naruse

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Landing page: https://arxiv.org/abs/2208.02961

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Concepts: Allan variance, Variance (accounting), Chaotic, Statistical physics, Stability (learning theory), Laser, Scale (ratio), Series (stratigraphy), Time series, Computer science, Optics, Physics, Mathematics, Statistics, Standard deviation, Artificial intelligence, Geology, Quantum mechanics, Paleontology, Business, Accounting, Machine learning

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abstract_inverted_index.Whereas	88
abstract_inverted_index.chaotic	44
abstract_inverted_index.clearly	114
abstract_inverted_index.complex	66
abstract_inverted_index.delayed	75
abstract_inverted_index.exhibit	82
abstract_inverted_index.involve	142
abstract_inverted_index.lasers,	19, 49
abstract_inverted_index.ranging	23
abstract_inverted_index.regime,	106
abstract_inverted_index.regimes	22
abstract_inverted_index.scales.	150
abstract_inverted_index.analysis	56, 63, 101
abstract_inverted_index.approach	113
abstract_inverted_index.captured	115
abstract_inverted_index.dynamics	46, 143
abstract_inverted_index.multiple	119
abstract_inverted_index.spanning	144
abstract_inverted_index.spectrum	100
abstract_inverted_index.utilized	5
abstract_inverted_index.variance	1, 36, 62, 112, 129
abstract_inverted_index.detection	90
abstract_inverted_index.dynamics,	121, 138
abstract_inverted_index.dynamics.	87
abstract_inverted_index.extremely	27
abstract_inverted_index.feedback,	76
abstract_inverted_index.generated	14, 69
abstract_inverted_index.including	77, 139
abstract_inverted_index.purposes.	57
abstract_inverted_index.stability	9, 55
abstract_inverted_index.versatile	136
abstract_inverted_index.appearance	117
abstract_inverted_index.beneficial	40
abstract_inverted_index.capability	32
abstract_inverted_index.evaluating	7, 42
abstract_inverted_index.time-scale	120
abstract_inverted_index.demonstrate	60
abstract_inverted_index.examination	31
abstract_inverted_index.multi-scale	30
abstract_inverted_index.oscillating	45
abstract_inverted_index.conventional	53, 98
abstract_inverted_index.demonstrates	126
abstract_inverted_index.fluctuations	79
abstract_inverted_index.low-frequency	78, 105
abstract_inverted_index.semiconductor	48, 72
abstract_inverted_index.understanding	133
abstract_inverted_index.characterizing	135
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	9
citation_normalized_percentile.value	0.13540552
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False