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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« less
Dynamical Methods for Studying Noise in Frequency Comb Sources
Frequency combs have revolutionized the measurement of time and frequency since their
invention in 2000, and have a wide array of applications to applications that range from basic
science applications, to a wide array of sensing applications, to commercial applications, to
military applications, and the list goes on. Noise poses a fundamental limit to these systems,
and calculating its impact play a critical role in system design. Frequency combs are created
by modelocked laser systems that emit a periodic train of short pulses. Laser systems are
complex nonlinear systems and the usual method for determining the impact of noise is to
carry out computationally-expensive Monte Carlo methods. That limits the parameter range
over which it is possible to study the noise impact. We have developed a new approach
based on dynamical systems methods. In our approach, we determine a stationary state
of the laser system as parameters vary solving a root-finding problem [Wang1]. Starting
from a stationary state, we determine all the eigenvalues and eigenvalues of the linearized
system. The variance of the amplitudes of the eigenvalues obey either random walk of
Langevin equations [Menyuk]. Starting from that point, we can determine the power spectral
density of the key laser parameters (amplitude jitter, timing jitter, frequency jitter, phase
jitter) [Wang2]. We applied this approach to SESAM lasers and found that we were able to
reproduce a computation that took 20 minutes on a cluster with 256 cores with a computation
that took less than 4 minutes on a desktop computer.
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- Award ID(s):
- 1807272
- NSF-PAR ID:
- 10326041
- Date Published:
- Journal Name:
- Twelfth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory,
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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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.more » « less
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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.more » « less
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Abstract Dual-comb interferometry harnesses the interference of two laser frequency combs to provide unprecedented capability in spectroscopy applications. In the past decade, the state-of-the-art systems have reached a point where the signal-to-noise ratio per unit acquisition time is fundamentally limited by shot noise from vacuum fluctuations. To address the issue, we propose an entanglement-enhanced dual-comb spectroscopy protocol that leverages quantum resources to significantly improve the signal-to-noise ratio performance. To analyze the performance of real systems, we develop a quantum model of dual-comb spectroscopy that takes practical noises into consideration. Based on this model, we propose quantum combs with side-band entanglement around each comb lines to suppress the shot noise in heterodyne detection. Our results show significant quantum advantages in the uW to mW power range, making this technique particularly attractive for biological and chemical sensing applications. Furthermore, the quantum comb can be engineered using nonlinear optics and promises near-term experimentation.
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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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Accepted Manuscript1.0
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- The DOI is not currently available.
