Predictability estimates on ideal four-level laser with periodic pump modulation

Mircea Ciobanu; Vasile D. Babin; Doina Nicoleta Nicolae; Camelia Talianu

doi:10.1117/12.583036

21 October 2004 Predictability estimates on ideal four-level laser with periodic pump modulation

Mircea Ciobanu, Vasile D. Babin, Doina Nicoleta Nicolae, Camelia Talianu

Proceedings Volume 5581, ROMOPTO 2003: Seventh Conference on Optics; (2004) https://doi.org/10.1117/12.583036
Event: ROMOPTO 2003: Seventh Conference on Optics, 2003, Constanta, Romania

Abstract

In this paper we study the predictability of the ideal four-level laser for different pump modulation frequencies. Time series obtained from the well-known two ODE system are processed using the Grassberger-Procaccia algorithm in order to estimate the correlation dimension and the errror-doubling time (computed via the Kolmogorov entropy). Results evidence windows of low predictability, which can be associated with chaotic behavior. The attractor dimension, approximated by the correlation dimension, varies between 1.61 and 2.56 for different pump modulation frequencies. However, these values were obtained in a somehow indefinite or indeterminate way. Supported by the large discrepancies in the results reported when chaotic dynamics is analyzed in other areas of physics (e.g. atmospheric physics), the rather vague character of the criteria used when setting some parameters on which the above-mentioned quantities crucially depend is emphasized.

Citation Download Citation

Mircea Ciobanu, Vasile D. Babin, Doina Nicoleta Nicolae, and Camelia Talianu "Predictability estimates on ideal four-level laser with periodic pump modulation", Proc. SPIE 5581, ROMOPTO 2003: Seventh Conference on Optics, (21 October 2004); https://doi.org/10.1117/12.583036

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