Nonlinear dynamics of add-drop microring resonator subject to double optical feedbacks

• Published in: Nonlinear dynamics Vol. 113; no. 16; pp. 21001 - 21012
• Main Authors: Li, Lili, Xie, Yiyuan, Jiang, Xiao, Su, Ye, Chen, Zhuang, Jin, Chuwei, Li, ZeLin, Tang, Yuhan
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.08.2025
• Subjects: Behavior; Bifurcations; Coupled modes; Delay time; Dynamical systems; Light; Nonlinear dynamics; Optical feedback; Optics; Parameters; Refractivity; Resonators; Silicon; Silicon nitride
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-025-11254-5

The study of nonlinear dynamical mechanisms of silicon microring resonator (MRR) can provide a strong support for future related applications. Hence a novel high-Q silicon add-drop MRR model subject to double optical feedbacks with clockwise and counter-clockwise optical injection is proposed and numerically analyzed in this paper. The impact of refractive index change induced by nonlinear effects on output of proposed structure is thoroughly investigated with coupled mode theory. Based on this, we have obtained rich nonlinear dynamic behaviors, including steady state, period, multiperiod, and chaos emanating from the innovative model. These distinguishing features of dynamic behaviors, observed at diverse points along the route to chaos, are intuitively compared for the purpose of verifying their occurrence. And the examination of add-drop MRR parameters on dynamic behaviors, utilizing bifurcation diagrams, reveals that the pump power and feedback strength play pivotal roles in generating intricate dynamic behaviors including chaos. Additionally, the essential impact of wavelength detuning, phase shift and optical feedback delay times on the evolution of complex dynamical regions are precisely presented in different bifurcation diagrams. The meticulous investigation into the nonlinear dynamics of add-drop MRR subject to double optical feedbacks, with particular emphasis on the pivotal influence of key parameters, can significantly aid us in devising robust and practical strategies for regulating and optimizing its dynamical mechanisms. An in-depth understanding of nonlinear dynamical mechanisms of proposed model is crucial for analyzing the subsequent work on the performance of photonic reservoir computing and related applications based on the constructed different dynamics systems.