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.

Self-Pulsation in a Nonlinear Plasmonic Ring Resonator

“…These phenomena have been investigated both theoretically and experimentally in various types of photonic devices, like Fabry-Perot cavities [2], silicon MRR [3], microresonators [4], nanocavities [5], and coupled nonlinear cavities [6], [7]. In order to understand the self-pulsing behavior several theoretical approaches have been developed, e.g.…”

Stable integrated hyper-parametric oscillator based on coupled optical microcavities

“…They are also stable, in the sense that in the whole SP region of Fig. 2 the cycles never undergo a period-doubling cascade, as it occurs in [13,15].…”

“…In order to obtain oscillations in the GHz range in a single optical microcavity (microring, microsphere, or pho- * andrea.armaroli@enssat.fr tonic crystal cavity), the usual approach is to couple to an additional degree of freedom, such as a time-delayed nonlinear response [12][13][14]. Alternatively a system of coupled cavities can be designed.…”

Dynamical analysis of double-ring resonator with non-instantaneous Kerr response and effect of loss

“…The predictions were experimentally confirmed with a hybrid optically bistable device (Gibbs et al 1981). It is important to remark that the occurrence and nature of SP and chaotic states in a single ring resonator is related to the finite relaxation time of the Kerr-nonlinear response (Ikeda et al 1980;Ikeda and Akimoto 1982;Armaroli et al 2011).…”