Statistical Properties of an External-Cavity Semiconductor Laser: Experiment and Theory
We experimentally and numerically study the statistical properties of a semiconductor laser with time-delayed optical feedback. Our systematic analyses show that the statistical distribution of the raw intensity obtained from experiments is better fitted by a Laplacian distribution; both in experime...
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Veröffentlicht in: | IEEE journal of selected topics in quantum electronics 2015-11, Vol.21 (6), p.553-560 |
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creator | Nianqiang Li Wei Pan Locquet, Alexandre Chizhevsky, V. N. Citrin, David S. |
description | We experimentally and numerically study the statistical properties of a semiconductor laser with time-delayed optical feedback. Our systematic analyses show that the statistical distribution of the raw intensity obtained from experiments is better fitted by a Laplacian distribution; both in experiments and simulations, the distribution pattern of the differential signal obtained from two independent intensities, as well as of that computed from its high-order finite differences, converges to a well-fitted Gaussian profile for high pump currents. This helps us to understand the changes in statistical properties of the intensity with varying control parameters and achieve desired entropy sources for random number generators. Furthermore, in numerical simulations, we find the distribution of the differential signal undergoes a marked transition from a Gaussian to Laplacian profile as the feedback rate increases at low to moderate pump currents. |
doi_str_mv | 10.1109/JSTQE.2015.2427523 |
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(IEEE) Nov 2015</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c406t-47e37a6b3d9f6a8093ae38bba6cc8d893112a588cd4d352df35e3a8a25ee7f993</citedby><cites>FETCH-LOGICAL-c406t-47e37a6b3d9f6a8093ae38bba6cc8d893112a588cd4d352df35e3a8a25ee7f993</cites><orcidid>0000-0002-6674-4956 ; 0000-0002-3418-7745</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/7097645$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,780,784,796,885,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/7097645$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://hal.science/hal-03079645$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Nianqiang Li</creatorcontrib><creatorcontrib>Wei Pan</creatorcontrib><creatorcontrib>Locquet, Alexandre</creatorcontrib><creatorcontrib>Chizhevsky, V. N.</creatorcontrib><creatorcontrib>Citrin, David S.</creatorcontrib><title>Statistical Properties of an External-Cavity Semiconductor Laser: Experiment and Theory</title><title>IEEE journal of selected topics in quantum electronics</title><addtitle>JSTQE</addtitle><description>We experimentally and numerically study the statistical properties of a semiconductor laser with time-delayed optical feedback. Our systematic analyses show that the statistical distribution of the raw intensity obtained from experiments is better fitted by a Laplacian distribution; both in experiments and simulations, the distribution pattern of the differential signal obtained from two independent intensities, as well as of that computed from its high-order finite differences, converges to a well-fitted Gaussian profile for high pump currents. This helps us to understand the changes in statistical properties of the intensity with varying control parameters and achieve desired entropy sources for random number generators. Furthermore, in numerical simulations, we find the distribution of the differential signal undergoes a marked transition from a Gaussian to Laplacian profile as the feedback rate increases at low to moderate pump currents.</description><subject>Chaos</subject><subject>Computer simulation</subject><subject>data fitting</subject><subject>Distributed feedback devices</subject><subject>Engineering Sciences</subject><subject>Gaussian</subject><subject>Laplace equations</subject><subject>Laser feedback</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Numerical models</subject><subject>Optical attenuators</subject><subject>Optical feedback</subject><subject>Pumps</subject><subject>Random numbers</subject><subject>semiconductor laser</subject><subject>Semiconductor lasers</subject><subject>Sensors</subject><subject>Statistical distributions</subject><subject>statistical properties</subject><issn>1077-260X</issn><issn>1558-4542</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkU1vEzEQhleISpTCH4DLSlzoYYO_P7hVUaCgSG2VILhZE--s6mqzDrZTkX-PQ6oeOHlkPc_o1bxN846SGaXEfvq-Wt8tZoxQOWOCacn4i-acSmk6IQV7WWeidccU-fWqeZ3zAyHECEPOm5-rAiXkEjyM7W2KO0wlYG7j0MLULv4UTBOM3RweQzm0K9wGH6d-70tM7RIyps8VqlLY4lSq0rfre4zp8KY5G2DM-PbpvWh-fFms59fd8ubrt_nVsvOCqNIJjVyD2vDeDgoMsRyQm80GlPemN5ZTykAa43vRc8n6gUvkYIBJRD1Yyy-ay9PeexjdrsaAdHARgru-WrrjH-FEWyXkI63sxxO7S_H3HnNx25A9jiNMGPfZUUMVoYIIVdEP_6EPcX-8RKWUtUwZo3Wl2InyKeaccHhOQIk79uL-9eKOvbinXqr0_iQFRHwWNLG6puR_AeRFiPE</recordid><startdate>201511</startdate><enddate>201511</enddate><creator>Nianqiang Li</creator><creator>Wei Pan</creator><creator>Locquet, Alexandre</creator><creator>Chizhevsky, V. 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subjects | Chaos Computer simulation data fitting Distributed feedback devices Engineering Sciences Gaussian Laplace equations Laser feedback Mathematical analysis Mathematical models Numerical models Optical attenuators Optical feedback Pumps Random numbers semiconductor laser Semiconductor lasers Sensors Statistical distributions statistical properties |
title | Statistical Properties of an External-Cavity Semiconductor Laser: Experiment and Theory |
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