Complexity in pulsed nonlinear laser systems interrogated by permutation entropy

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Toomey, Joshua P. and Kane, Deborah M. and Ackemann, Thorsten (2014) Complexity in pulsed nonlinear laser systems interrogated by permutation entropy. Optics Express, 22 (15). pp. 17840-17853. ISSN 1094-4087 (https://doi.org/10.1364/OE.22.017840)

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Abstract

Permutation entropy (PE) has a growing significance as a relative measure of complexity in nonlinear systems. It has been applied successfully to measuring complexity in nonlinear laser systems. Here, PE and weighted permutation entropy (WPE) are discovered to show an unexpected inversion to higher values, when characterizing the complexity at the characteristic frequencies of nonlinear drivers in laser systems, for output power sequences which are pulsed. The cause of this inversion is explained and its presence can be used to identify when irregular dynamics transform into a fairly regular pulsed signal (with amplitude and timing jitter). When WPE is calculated from experimental output power time series from various nonlinear laser systems as a function of delay time, both the minimum value of WPE, and the width of the peak in the WPE plot are shown to be indicative of the level of amplitude variation and timing jitter present in the pulsed output. Links are made with analysis using simulated time series data with systematic variation in timing jitter and/or amplitude variations.

ORCID iDs

Toomey, Joshua P., Kane, Deborah M. and Ackemann, Thorsten ORCID logoORCID: https://orcid.org/0000-0003-2727-7395;
  • Item type:Article
    ID code:49860
    Dates:
    Date
    Event
    28 July 2014
    Published
    16 July 2014
    Published Online
    4 July 2014
    Accepted
    Notes:This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OE.22.017840. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    University of Strathclyde > University of Strathclyde
    Depositing user: Pure Administrator
    Date deposited:16 Oct 2014 13:07
    Last modified:11 Nov 2024 10:49
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/49860
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