ANALYSIS OF IRREGULAR FLUCTUATIONS IN A SELF-PUMPED BATIO3 PHASE-CONJUGATE MIRROR

The self-pumped BaTiO3 phase-conjugate mirror (SPPCM) is presented as a nonlinear system that exhibits temporal irregular fluctuations in the phase-conjugated output in dependence on one critical parameter - the beam input position. Qualitative examinations of the nature of these fluctuations, the Fourier transform, the autocorrelation function and the Poincare map, show signs of deterministic chaotic behavior. As a quantitative 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. The fractal value of that dimension reveals the deterministic chaotic character of the irregular fluctuations. A variation of the beam input position as the control parameter drives the nonlinear system from regular behavior to deterministic chaos. Our analysis shows, how the fractal correlation dimension D2 changes from D2 = 1 to D2 = 8.5 depending on the critical input beam position. This allows conclusions on the theoretical model best suited to describe the system.