{"title":"利用 Si3N4 微oring 谐振器作为滤波器反馈,基于 DFB-LD 自播种的混合集成激光器的非线性动力学特性","authors":"Shan Hu, Qiupin Wang, Fengling Zhang, Zhenzhen Xiao, Pu Ou, Yingke Xie, Xulin Gao, Zhengmao Wu, Guangqiong Xia","doi":"10.1016/j.chaos.2024.115776","DOIUrl":null,"url":null,"abstract":"In this work, we experimentally investigate the nonlinear dynamics of a hybrid integrated laser (HIL) composed of a distributed feedback laser diode (DFB-LD) and a tunable silicon-nitride photonic chip-based microring resonator (MRR), where the drop-port of MRR is connected to a Sagnac loop via a variable optical coupler (OC). Through varying the voltages loaded on the MRR (V<ce:inf loc=\"post\">MRR</ce:inf>) and the variable OC (V<ce:inf loc=\"post\">OC</ce:inf>), the central frequency and feedback coefficient of filter feedback can be adjusted, respectively. Via observing the optical power (time series), RF spectra, optical spectra of the HIL output, and calculating the Lyapunov exponent of the time series, diverse dynamical states including period one (P1), period two (P2), period four (P4), quasi-period (QP), chaos (CO) and self-injection locking (LO) can be distinguished. For different combinations of V<ce:inf loc=\"post\">MRR</ce:inf> and V<ce:inf loc=\"post\">OC</ce:inf>, the evolution routes for the nonlinear dynamical states of the HIL with the bias current of the DFB-LD (I<ce:inf loc=\"post\">DFB</ce:inf>) are inspected and analyzed. By mapping the dynamical states in the parameter space of I<ce:inf loc=\"post\">DFB</ce:inf> and V<ce:inf loc=\"post\">OC</ce:inf>, the parameter regions for the HIL behaving different dynamical states are determined.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"8 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear dynamics of hybrid integrated laser based on self-seeding of a DFB-LD by using a Si3N4 microring resonator as filter feedback\",\"authors\":\"Shan Hu, Qiupin Wang, Fengling Zhang, Zhenzhen Xiao, Pu Ou, Yingke Xie, Xulin Gao, Zhengmao Wu, Guangqiong Xia\",\"doi\":\"10.1016/j.chaos.2024.115776\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we experimentally investigate the nonlinear dynamics of a hybrid integrated laser (HIL) composed of a distributed feedback laser diode (DFB-LD) and a tunable silicon-nitride photonic chip-based microring resonator (MRR), where the drop-port of MRR is connected to a Sagnac loop via a variable optical coupler (OC). Through varying the voltages loaded on the MRR (V<ce:inf loc=\\\"post\\\">MRR</ce:inf>) and the variable OC (V<ce:inf loc=\\\"post\\\">OC</ce:inf>), the central frequency and feedback coefficient of filter feedback can be adjusted, respectively. Via observing the optical power (time series), RF spectra, optical spectra of the HIL output, and calculating the Lyapunov exponent of the time series, diverse dynamical states including period one (P1), period two (P2), period four (P4), quasi-period (QP), chaos (CO) and self-injection locking (LO) can be distinguished. For different combinations of V<ce:inf loc=\\\"post\\\">MRR</ce:inf> and V<ce:inf loc=\\\"post\\\">OC</ce:inf>, the evolution routes for the nonlinear dynamical states of the HIL with the bias current of the DFB-LD (I<ce:inf loc=\\\"post\\\">DFB</ce:inf>) are inspected and analyzed. By mapping the dynamical states in the parameter space of I<ce:inf loc=\\\"post\\\">DFB</ce:inf> and V<ce:inf loc=\\\"post\\\">OC</ce:inf>, the parameter regions for the HIL behaving different dynamical states are determined.\",\"PeriodicalId\":9764,\"journal\":{\"name\":\"Chaos Solitons & Fractals\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2024-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos Solitons & Fractals\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1016/j.chaos.2024.115776\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1016/j.chaos.2024.115776","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
在这项工作中,我们通过实验研究了由分布式反馈激光二极管(DFB-LD)和基于氮化硅光子芯片的可调谐微波谐振器(MRR)组成的混合集成激光器(HIL)的非线性动力学,其中 MRR 的下降端口通过可变光耦合器(OC)连接到萨格纳克环路。通过改变加载在 MRR(VMRR)和可变 OC(VOC)上的电压,可分别调节滤波器反馈的中心频率和反馈系数。通过观察 HIL 输出的光功率(时间序列)、射频频谱和光频谱,并计算时间序列的 Lyapunov 指数,可以区分出不同的动态状态,包括周期一(P1)、周期二(P2)、周期四(P4)、准周期(QP)、混沌(CO)和自注入锁定(LO)。针对 VMRR 和 VOC 的不同组合,考察并分析了 HIL 非线性动态状态与 DFB-LD (IDFB) 偏置电流的演变路线。通过映射 IDFB 和 VOC 参数空间中的动态状态,确定了 HIL 呈现不同动态状态的参数区域。
Nonlinear dynamics of hybrid integrated laser based on self-seeding of a DFB-LD by using a Si3N4 microring resonator as filter feedback
In this work, we experimentally investigate the nonlinear dynamics of a hybrid integrated laser (HIL) composed of a distributed feedback laser diode (DFB-LD) and a tunable silicon-nitride photonic chip-based microring resonator (MRR), where the drop-port of MRR is connected to a Sagnac loop via a variable optical coupler (OC). Through varying the voltages loaded on the MRR (VMRR) and the variable OC (VOC), the central frequency and feedback coefficient of filter feedback can be adjusted, respectively. Via observing the optical power (time series), RF spectra, optical spectra of the HIL output, and calculating the Lyapunov exponent of the time series, diverse dynamical states including period one (P1), period two (P2), period four (P4), quasi-period (QP), chaos (CO) and self-injection locking (LO) can be distinguished. For different combinations of VMRR and VOC, the evolution routes for the nonlinear dynamical states of the HIL with the bias current of the DFB-LD (IDFB) are inspected and analyzed. By mapping the dynamical states in the parameter space of IDFB and VOC, the parameter regions for the HIL behaving different dynamical states are determined.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.