Autocorrelation properties of chaotic delay dynamical systems: A study on semiconductor lasers

Xavier Porte*, Otti D'Huys, Thomas Jüngling, Daniel Brunner, Miguel C. Soriano, Ingo Fischer

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


We present a detailed experimental characterization of the autocorrelation properties of a delayed feedback semiconductor laser for different dynamical regimes. We show that in many cases the autocorrelation function of laser intensity dynamics can be approximated by the analytically derived autocorrelation function obtained from a linear stochastic model with delay. We extract a set of dynamic parameters from the fit with the analytic solutions and discuss the limits of validity of our approximation. The linear model captures multiple fundamental properties of delay systems, such as the shift and asymmetric broadening of the different delay echoes. Thus, our analysis provides significant additional insight into the relevant physical and dynamical properties of delayed feedback lasers.
Original languageEnglish
Article number052911
JournalPhysical Review E
Issue number5
Publication statusPublished - 1 Nov 2014
Externally publishedYes


  • High-dimensional chaos
  • Semiconductor lasers
  • laser diodes
  • Delay and functional equations

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