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

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10147627.pdf (5.7 MB)

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https://par.nsf.gov/servlets/purl/10147627

Permanent Link

http://hdl.handle.net/11603/39319

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UMBC Student Collection
UMBC Computer Science and Electrical Engineering Department
UMBC Faculty Collection
UMBC Mathematics and Statistics Department

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Author/Creator ORCID

https://orcid.org/0000-0002-9712-4995
 https://orcid.org/0000-0003-0269-8433
 https://orcid.org/0000-0002-5002-1657
 https://orcid.org/0000-0002-7132-0103

Date

2019-01-01

Type of Work

presentations (communicative events)
Text

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Citation of Original Publication

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This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.

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Abstract

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.