Li Qing, Briles Travis C, Westly Daron A, Drake Tara E, Stone Jordan R, Ilic B Robert, Diddams Scott A, Papp Scott B, Srinivasan Kartik
Center for Nanoscale Science and Technology, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
Maryland NanoCenter, University of Maryland, College Park, Maryland 20742, USA.
Optica. 2017 Feb;4(2):193-203. doi: 10.1364/OPTICA.4.000193. Epub 2017 Feb 2.
Microresonator frequency combs can be an enabling technology for optical frequency synthesis and timekeeping in low size, weight, and power architectures. Such systems require comb operation in low-noise, phase-coherent states such as solitons, with broad spectral bandwidths (e.g., octave-spanning) for self-referencing to detect the carrier-envelope offset frequency. However, accessing such states is complicated by thermo-optic dispersion. For example, in the SiN platform, precisely dispersion-engineered structures can support broadband operation, but microsecond thermal time constants often require fast pump power or frequency control to stabilize the solitons. In contrast, here we consider how broadband soliton states can be accessed with simple pump laser frequency tuning, at a rate much slower than the thermal dynamics. We demonstrate octave-spanning soliton frequency combs in SiN microresonators, including the generation of a multi-soliton state with a pump power near 40 mW and a single-soliton state with a pump power near 120 mW. We also develop a simplified two-step analysis to explain how these states are accessed without fast control of the pump laser, and outline the required thermal properties for such operation. Our model agrees with experimental results as well as numerical simulations based on a Lugiato-Lefever equation that incorporates thermo-optic dispersion. Moreover, it also explains an experimental observation that a member of an adjacent mode family on the red-detuned side of the pump mode can mitigate the thermal requirements for accessing soliton states.
微谐振器频率梳可成为一种使能技术,用于在低尺寸、重量和功率架构中进行光频合成和计时。此类系统需要在低噪声、相位相干状态(如孤子)下运行梳状信号,具有宽光谱带宽(例如,倍频程跨度)以便进行自参考,以检测载波包络偏移频率。然而,热光色散使进入此类状态变得复杂。例如,在氮化硅平台中,精确的色散工程结构可支持宽带运行,但微秒级的热时间常数通常需要快速的泵浦功率或频率控制来稳定孤子。相比之下,在这里我们考虑如何通过简单的泵浦激光频率调谐来进入宽带孤子状态,调谐速率远低于热动力学速率。我们展示了氮化硅微谐振器中的倍频程跨度孤子频率梳,包括在泵浦功率接近40 mW时产生多孤子状态以及在泵浦功率接近120 mW时产生单孤子状态。我们还开发了一种简化的两步分析方法,以解释如何在不快速控制泵浦激光的情况下进入这些状态,并概述了此类操作所需的热特性。我们的模型与实验结果以及基于包含热光色散的Lugiato-Lefever方程的数值模拟结果一致。此外,它还解释了一个实验观察结果,即泵浦模式红失谐侧相邻模式家族的一个成员可以降低进入孤子状态的热要求。