Optimal frequency combs from cnoidal waves in Kerr microresonators

Dora Kholmyansky; Omri Gat

doi:10.1103/PhysRevA.100.063809

Optimal frequency combs from cnoidal waves in Kerr microresonators

Dora Kholmyansky, Omri Gat

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We present a thorough computational study of the existence, stability, and comb properties of cnoidal waves—dissipative periodic patterns—in Kerr microresonators. We show that cnoidal waves comprise a large set with multiple periods. Optimal comb power efficiency and bandwidth are obtained for highly red-detuned, intermediate-strength pump, and short-period waves, that are similar to a train of cavity solitons. We demonstrate a deterministic access path for optimal waves that yields combs of soliton-class bandwidth with a much higher power efficiency.

Original language	American English
Article number	063809
Journal	Physical Review A
Volume	100
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.100.063809
State	Published - Dec 2019

Bibliographical note

Funding Information:
We have benefited from illuminating discussions with Curtis R. Menyuk and Zhen Qi and thank them for sharing preliminary results with us and for critical remarks. We thank Aurelien Coillet for helpful remarks and Ergun Simsek for careful reading of the paper while in preparation. This work was supported by the Israel Science Foundation.

Publisher Copyright:
© 2019 American Physical Society.

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10.1103/PhysRevA.100.063809

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title = "Optimal frequency combs from cnoidal waves in Kerr microresonators",

abstract = "We present a thorough computational study of the existence, stability, and comb properties of cnoidal waves—dissipative periodic patterns—in Kerr microresonators. We show that cnoidal waves comprise a large set with multiple periods. Optimal comb power efficiency and bandwidth are obtained for highly red-detuned, intermediate-strength pump, and short-period waves, that are similar to a train of cavity solitons. We demonstrate a deterministic access path for optimal waves that yields combs of soliton-class bandwidth with a much higher power efficiency.",

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AU - Gat, Omri

N1 - Funding Information: We have benefited from illuminating discussions with Curtis R. Menyuk and Zhen Qi and thank them for sharing preliminary results with us and for critical remarks. We thank Aurelien Coillet for helpful remarks and Ergun Simsek for careful reading of the paper while in preparation. This work was supported by the Israel Science Foundation. Publisher Copyright: © 2019 American Physical Society.

PY - 2019/12

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N2 - We present a thorough computational study of the existence, stability, and comb properties of cnoidal waves—dissipative periodic patterns—in Kerr microresonators. We show that cnoidal waves comprise a large set with multiple periods. Optimal comb power efficiency and bandwidth are obtained for highly red-detuned, intermediate-strength pump, and short-period waves, that are similar to a train of cavity solitons. We demonstrate a deterministic access path for optimal waves that yields combs of soliton-class bandwidth with a much higher power efficiency.

AB - We present a thorough computational study of the existence, stability, and comb properties of cnoidal waves—dissipative periodic patterns—in Kerr microresonators. We show that cnoidal waves comprise a large set with multiple periods. Optimal comb power efficiency and bandwidth are obtained for highly red-detuned, intermediate-strength pump, and short-period waves, that are similar to a train of cavity solitons. We demonstrate a deterministic access path for optimal waves that yields combs of soliton-class bandwidth with a much higher power efficiency.

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JO - Physical Review A

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Optimal frequency combs from cnoidal waves in Kerr microresonators

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