Plotting the Stability Boundary of Cnoidal Waves in Microresonators

Logan Courtright; Zhen Qi; Curtis R. Menyuk

doi:10.1364/FIO.2020.JM6B.31

Frontiers in Optics / Laser Science
OSA Technical Digest (Optica Publishing Group, 2020),
paper JM6B.31
•https://doi.org/10.1364/FIO.2020.JM6B.31

Plotting the Stability Boundary of Cnoidal Waves in Microresonators

Logan Courtright, Zhen Qi, and Curtis R. Menyuk

Frontiers in Optics 2020

Washington, DC United States
14–17 September 2020
ISBN: 978-1-943580-80-4

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Joint Poster Session IB (JM6B)

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L. Courtright, Z. Qi, and C. R. Menyuk, "Plotting the Stability Boundary of Cnoidal Waves in Microresonators," in Frontiers in Optics / Laser Science, B. Lee, C. Mazzali, K. Corwin, and R. Jason Jones, eds., OSA Technical Digest (Optica Publishing Group, 2020), paper JM6B.31.

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Abstract

Previous dynamical methods to map the stability region boundary of cnoidal waves were semi-automatic due to sharp corners. We present a fully automatic method that accounts for corners due to Hopf bifurcations.

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