Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator

dc.contributor.authorD’Aguanno, Giuseppe
dc.contributor.authorMenyuk, Curtis
dc.date.accessioned2020-05-12T18:21:40Z
dc.date.available2020-05-12T18:21:40Z
dc.date.issued2017-03-23
dc.description.abstractGuided-mode coupling in a microresonator generally manifests itself through avoided crossings of the corresponding resonances. This coupling can strongly modify the resonator local effective dispersion by creating two branches that have dispersions of opposite sign in spectral regions that would otherwise be characterized by either positive (normal) or negative (anomalous) dispersion. In this paper, we study, both analytically and computationally, the general properties of nonlinear frequency comb generation at an avoided crossing using the coupled Lugiato-Lefever equation. In particular, we find that bright solitons and broadband frequency combs can be excited when both branches are pumped for a suitable choice of the pump powers and the detuning parameters. A deterministic path for soliton generation is found.en_US
dc.description.sponsorshipThis work was supported in part by ARL Project No. W911NF-13-2-0010 and by AMRDEC/DARPA Project No. W31P4Q-14-1-0002. The numerical simulations were carried out at UMBC’s high performance computing facility. We thank Andrew Weiner, Minghao Qi, Xiaoxiao Xue, Jose Jaramillo-Villegas, Zhen Qi, Thomas Carruthers, and Andrey Matsko for useful discussions.en_US
dc.description.urihttps://link.springer.com/article/10.1140/epjd/e2017-70705-xen_US
dc.format.extent9 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m2umqr-tvox
dc.identifier.citationD’Aguanno, Giuseppe; Menyuk, Curtis R.; Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator; The European Physical Journal D 71,74 (2017); https://link.springer.com/article/10.1140/epjd/e2017-70705-xen_US
dc.identifier.urihttps://doi.org/10.1140/epjd/e2017-70705-x
dc.identifier.urihttp://hdl.handle.net/11603/18563
dc.language.isoen_USen_US
dc.publisherSpringer Nature Switzerland AG.en_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis 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.
dc.rightsThis is a pre-print of an article published in The European Physical Journal D. The final authenticated version is available online at: https://doi.org/10.1140/epjd/e2017-70705-x.
dc.titleCoupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonatoren_US
dc.typeTexten_US

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