"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

I agree, do not show this message again.

CHAOTIC BEHAVIOUR OF IDEAL FOUR-LEVEL LASER WITH PERIODIC PUMP MODULATION

M. Ciobanu1,* , V. Babin1, N. D. Nicolae1, C. Talianu1, C. Radu1, G. Mogîldea1, M. Mogîldea1

Affiliation

  1. National Institute of Optoelectronics , P. O. Box MG-5, Bucharest-Magurele, 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 error-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 undeterminated 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..

Keywords

Predictability, Correlation dimension, Correlation function, Kolmogorov entropy, Chaos.

Submitted at: May 7, 2004
Accepted at: June 10, 2004

Citation

M. Ciobanu, V. Babin, N. D. Nicolae, C. Talianu, C. Radu, G. Mogîldea, M. Mogîldea, CHAOTIC BEHAVIOUR OF IDEAL FOUR-LEVEL LASER WITH PERIODIC PUMP MODULATION, Journal of Optoelectronics and Advanced Materials Vol. 6, Iss. 2, pp. 399-404 (2004)