title: Autocorrelation properties of chaotic delay dynamical systems: A study on semiconductor lasers.
abstract: 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.
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Xavier
authors.initials: X
authors.lastname: Porte
authors.affiliation: Institute of Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany.
authors.forename: Otti
authors.initials: O
authors.lastname: D'Huys
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Thomas
authors.initials: T
authors.lastname: Jüngling
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Daniel
authors.initials: D
authors.lastname: Brunner
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Miguel C
authors.initials: MC
authors.lastname: Soriano
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Ingo
authors.initials: I
authors.lastname: Fischer