Changes in normalized permutation entropy during non-coherent pulsepulse interaction in the laser cavity

D. J. Little, H. Kbashi, S. A. Kolpakov, D. M. Kane, S. V. Sergeyev

Research output: Chapter in Book/Report/Conference proceedingConference publication

Abstract

Summary form only given. Statistically extreme events, that is to say, the events which have L-shaped probability distribution function (PDF, or in other words L-statistics) and, in particular, the rogue wave (RW) events, constitute a special family of natural phenomena. Curiously, this kind of events is more common than it is believed. It was observed that the behavior of the systems which obey L-shaped statistics is clustered. Periods of high predictability and low volatility are followed by periods of drastic changes and high volatility, for example, RWs [1], earthquakes, epileptic seizures etc. Permutation entropy (PE) is an indicator of dynamical predictability of the system [2, 3] which allows quantization of the predictability or volatility. We report an investigation of using it to characterize the uncertainty period which was observed during pulse-pulse interaction in a long ring laser resonator without a saturable absorber. These resonators, in particular, the resonator built using Er3+ doped fiber (Fig.1), have polarization dependent instability near the lasing threshold [4] which leads to the generation of pulses propagating with different speed, either randomly or regularly. Using this property, an investigator can observe the mechanism of the pulse-pulse interaction in detail
Original languageEnglish
Title of host publicationEuropean Quantum Electronics Conference, EQEC 2017
PublisherOptical Society of America
VolumePart F81-EQEC 2017
ISBN (Electronic)9781557528209
DOIs
Publication statusPublished - 30 Oct 2017
EventEuropean Quantum Electronics Conference, EQEC 2017 - Munich, Germany
Duration: 25 Jun 201729 Jun 2017

Conference

ConferenceEuropean Quantum Electronics Conference, EQEC 2017
CountryGermany
CityMunich
Period25/06/1729/06/17

Bibliographical note

©2017 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.

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    Little, D. J., Kbashi, H., Kolpakov, S. A., Kane, D. M., & Sergeyev, S. V. (2017). Changes in normalized permutation entropy during non-coherent pulsepulse interaction in the laser cavity. In European Quantum Electronics Conference, EQEC 2017 (Vol. Part F81-EQEC 2017). Optical Society of America. https://doi.org/10.1109/CLEOE-EQEC.2017.8087580