Oscillatory dynamics in nanocavities with noninstantaneous Kerr response

Abstract

We investigate the impact of a finite response time of Kerr nonlinearities over the onset of spontaneous oscillations (self-pulsing) occurring in a nanocavity. The complete characterization of the underlying Hopf bifurcation in the full parameter space allows us to show the existence of a critical value of the response time and to envisage different regimes of competition with bistability. The transition from a stable oscillatory state to chaos is found to occur only in cavities which are detuned far off-resonance, which turns out to be mutually exclusive with the region where the cavity can operate as a bistable switch.

References in corpus (4)

• GaAs photonic crystal cavity with ultra-high Q: microwatt nonlinearity at 1.55 $\mu$m
• Observation of femto-joule optical bistability involving Fano resonances in high-Q/Vm silicon photonic crystal nanocavities
• Linearons: highly non-instantaneous solitons in liquid-core photonic crystal fibers
• Resonant self-pulsations in coupled nonlinear microcavities

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