Analysis of optical instability in coupled microring resonators

Abstract

We present energy coupling (EC) and power coupling (PC) formalisms for analyzing optical instability in coupled microring resonators having instantaneous intensity dependent nonlinear refractive index. Analysis of a chalcogenide double-microring resonator is performed to investigate and compare instability phenomena predicted by both formalisms. It is shown that the EC formalism fails to predict Ikeda instability in the double-microring resonator and generally yields results that drastically deviate from those of the more rigorous PC formalism at high input powers and large phase detunings. We also show that the input threshold powers for reaching self-pulsation and Ikeda instabilities in a double-microring resonator can be minimized by proper selection of the coupling parameters. In particular, self-pulsation can be reached in a chalcogenide double-microring with input powers as low as tens of milliwatts, while the threshold power for Ikeda instability can be reduced by more than 20% compared to the value required in a single microring.

Stable integrated hyper-parametric oscillator based on coupled optical microcavities

“…This promises to be a flexible integration strategy for obtaining a microwave oscillator on an optical integrated cicuit. We consider a system composed by evanescently coupled optical microcavities (single mode or with a large FSR), the time evolution of which reads, in dimensional units, as [16][17][18][19][20] …”

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

“…The period of SP states can also be estimated by the linear stability analysis (Maes et al 2009;Abdollahi and Van 2014). For our map, i.e., Eqs.…”

“…7 a The modulation depth g and b the normalized period T Á FSR of SP states as functions of the coupling coefficient s 2 for different values of s=T R ; other structural parameters are s 1 ¼ 0:3, P in ¼ 0:006, Df =FSR ¼ À0:04, a 0 ¼ 1 period T % 70=FSR corresponds to T % 0:3 ns. Finally, note, that Ikeda oscillations reported in (Abdollahi and Van 2014), T ¼ 2=FSR % 0:008 ns, occur far from resonance [Eq. (7) is not valid] and thus the threshold powers are much higher ð $ 10 WÞ; nonlinearity levels, Dn NL $ 4 Â 10 À4 , however, do not increase accordingly because the field is not resonantly enhanced.…”

“…Thus, recent research has focused on the simplest possible coupled structure, Kerr-nonlinear double-ring system, either in an add-drop filter configuration or in an all-pass filter configuration (APF) (Abdollahi and Van 2014). The aim of this paper is to extend these studies and provide a comprehensive description of double-ring system by taking an APF configuration as an example.…”

“…The aim of this paper is to extend these studies and provide a comprehensive description of double-ring system by taking an APF configuration as an example. In details, we consider the influence of control parameters of the system, including effects of the relaxation time and loss, which are not studied in (Abdollahi and Van 2014). We also discuss effects of coupling strength and related resonance splitting on the period and onset of SP operation.…”