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Parametric oscillation; chaos; switching

We study a doubly resonant optical parametric oscillator where the pump can feed two pairs of signal-idler modes. We assume the presence of gain at the pump frequency. We investigate the various oscillation states of interest, namely, when only the first pair oscillates with the other pair having null amplitudes and vice versa. We demonstrate the exchange of dynamics between the mode pairs when the relevant parameters of the cavity, namely, the phase mismatch factors or the decay rates switch because of fluctuations. The exchange of dynamics is shown to be independent of the nature of dynamics, i.e. independent of whether the motion isn-periodic or chaotic. We also investigate the case where both the pairs can exhibit chaotic dynamics though these states are difficult to realize because of fluctuations.

Jolly Jose¹ Bimalendu Deb² S Dutta Gupta¹

1. School of Physics, University of Hyderabad, Hyderabad - 500 046, India
2. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Calcutta - 700 032, India

Published

October 1997

Manuscript received

13 March 1997