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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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.
© 2019 American Physical Society.