Abstract

We investigate stochastic resonance (SR) in two models of degenerate optical parametric oscillators: the singly resonant case (SRDOPO) where only the subharmonic signal is oscillated and the doubly resonant case (DRDOPO) where both signal and pump fields are resonated in a cavity. The SRDOPO model is described by where A₁ is the signal field, E the pump, and a the diffraction coefficient. Above threshold for the signal generation this system admits one zero-intensity unstable solution and two stable symmetric homogeneous states of equal intensity and phase shifted by π with respect to each other. Although the location and stability of these stationary solutions is always known, DOPO equations do not admit a potential (non variational systems). On the other side, SR has mainly been studied in variational systems where it is possible to estimate the height of the potential barrier separating the two stable phases [1].

© 2001 EPS