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1. Dynamical Methods for Studying Stability and Noise in Frequency Comb Sources

   Curtis R. Menyuk, Brandon Wilson (May 2021, SIAM Conference on Applied Dynamical Systems)

   null (Ed.)

   Frequency combs, invented in 2000, have revolutionized frequency measurement and thereby impacted a host of applications. These include applications to military systems, medicine, environmental sensing, astrophysics, and basic physics. The sources have improved dramatically in the past decade, evolving from laboratory-size lasers to fiber lasers to microresonators on a chip. However, the theoretical input to these developments has been surprisingly small. The key problem in designing frequency combs is to determine where in the experimentally-adjustable parameter space stable solutions exist, to determine how to access them, and to determine the impact that noise has on them. While analytical approaches to answer these questions exist, computational tools to implement these approaches in realistic settings have been lacking. Our research has developed computational tools to address these issues, focusing on fiber laser and microresonator combs. In this talk, we will review our progress to date and discuss open problems. 

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2. Dynamical Methods for Studying Stability and Noise in Frequency Comb Sources

   Menyuk, Curtis R.; Courtright, Logan; Qi, Zhen; Wang, Shaokang (October 2021, AMS Fall Western Virtual Sectional Meeting 2021)

   Frequency combs, invented in 2000, have revolutionized frequency measurement and thereby impacted a host of applications. These include applications to military systems, medicine, environmental sensing, astrophysics, and basic physics. The sources have improved dramatically in the past decade, evolving from laboratory-size lasers to fiber lasers to microresonators on a chip. However, the theoretical input to these developments has been surprisingly small. The key problem in designing frequency combs is to determine where in the experimentally-adjustable parameter space stable solutions exist, to determine how to access them, and to determine the impact that noise has on them. While analytical approaches to answer these questions exist, computational tools to implement these approaches in realistic settings have been lacking. Our research has developed computational tools to address these issues, focusing on fiber laser and microresonator combs. In this talk, we will review our progress to date and discuss open problems. 

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3. Dynamical Methods for Studying Stability and Noise in Frequency Comb Sources

   C.R. Menyuk, L. Courtright (November 2021, Progress in Electromagnetics Research Symposium 2021)

   Frequency combs, invented in 2000, have revolutionized frequency measurement and there- by impacted a host of applications. These include applications to military systems, medi- cine, environmental sensing, astrophysics, and basic physics. The sources have improved dramatically in the past decade, evolving from laboratory-size lasers to  ber lasers to mi- croresonators on a chip. However, the theoretical input to these developments has been surprisingly small. The key problem in designing frequency combs is to determine where in the experimentally-adjustable parameter space stable solutions exist, to determine how to access them, and to determine the impact that noise has on them. While analytical approaches to answer these questions exist, computational tools to implement these ap- proaches in realistic settings have been lacking. Our research has developed computational tools to address these issues, focusing on  ber laser and microresonator combs. In this talk, we will review our progress to date and discuss open problems. 

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4. Turnkey photonic flywheel in a microresonator-filtered laser

   https://doi.org/10.1038/s41467-023-44314-8  

   Nie, Mingming; Musgrave, Jonathan; Jia, Kunpeng; Bartos, Jan; Zhu, Shining; Xie, Zhenda; Huang, Shu-Wei (January 2024, Nature Communications)

   Abstract Dissipative Kerr soliton (DKS) microcomb has emerged as an enabling technology that revolutionizes a wide range of applications in both basic science and technological innovation. Reliable turnkey operation with sub-optical-cycle and sub-femtosecond timing jitter is key to the success of many intriguing microcomb applications at the intersection of ultrafast optics and microwave electronics. Here we propose an approach and demonstrate the first turnkey Brillouin-DKS frequency comb to the best of our knowledge. Our microresonator-filtered laser design offers essential benefits, including phase insensitivity, self-healing capability, deterministic selection of the DKS state, and access to the ultralow noise comb state. The demonstrated turnkey Brillouin-DKS frequency comb achieves a fundamental comb linewidth of 100 mHz and DKS timing jitter of 1 femtosecond for averaging times up to 56 μs. The approach is universal and generalizable to various device platforms for user-friendly and field-deployable comb devices. 

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5. Stability and Noise in Frequency Combs: Harnessing the Music of the Spheres

   Menyuk, Curtis R. (January 2019, Colloquium talk: Boston University, Columbia University, Cornell University, University of West Virginia)

   Frequency combs have revolutionized the measurement of time and frequency and impacted a wide range of applications spanning basic physics, astrophysics, medicine, and defense. The key theoretical issues in understanding and designing frequency combs are finding regions in the adjustable parameter space where combs operate stably, determining their noise performance, and optimizing them for high power, low noise, and/or large bandwidth. Here, we present a unique set of computational tools that we have developed that allow us to efficiently address these issues. These tools combine 400-year-old dynamical systems theory with modern computational methods, and they are 3–5 orders of magnitude faster than standard evolutionary methods and provide important physical insight. We have applied these tools to frequency combs from passively modelocked lasers with fast and with slow saturable absorbers and to frequency combs from microresonators. Our methods predict improved operating regimes for combs that are produced from both the passively modelocked lasers and the microresonators. 

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