Analysis of irregular and chaotic fluctuations in a self-pumped BaTiO3 phase-conjugate mirror

Cornelia Denz; Torsten Rauch; Theo T. Tschudi

doi:10.1117/12.20695

1 August 1990 Analysis of irregular and chaotic fluctuations in a self-pumped BaTiO₃ phase-conjugate mirror

Cornelia Denz, Torsten Rauch, Theo T. Tschudi

Author Affiliations +

Proceedings Volume 1281, Optical Interconnections and Networks; (1990) https://doi.org/10.1117/12.20695
Event: The International Congress on Optical Science and Engineering, 1990, The Hague, Netherlands

Abstract

Self-pulsating, irregular fluctuations and deterministic chaos in the output intensity produced by a BaTiO3 self-pumped phase conjugate mirror has been observed. The behaviour is seen to vary with the incident laser intensity and especially with the specific region of interaction within the probe, which can be influenced by the orientation of the crystal with respect to the input beam. Q uaiitative examinations of the nature of these fluctuations - like the Fourier transform and the autocorrelation function - show signs for deterministic chaotic behaviour. As a qualitative analysis method of nonlinear dynamics, the Grassberger-Procaccia analysis is carried out to compute a lower bound of the Hausdorff dimension of the temporal field. That dimension varies with the critical input parameter, the region of interaction, between 2.25 and 8.5 and allow thus conclusions on the theoretical model needed to describe the system.

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Cornelia Denz, Torsten Rauch, and Theo T. Tschudi "Analysis of irregular and chaotic fluctuations in a self-pumped BaTiO₃ phase-conjugate mirror", Proc. SPIE 1281, Optical Interconnections and Networks, (1 August 1990); https://doi.org/10.1117/12.20695

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