Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators
By Yanne K. Chembo, C. Menyuk. 2012
418 citations recorded by the source corpus.
We demonstrate that frequency (Kerr) comb generation in whispering-gallery-mode resonators can be modeled by a variant of the Lugiato-Lefever equation that includes higher-order dispersion and nonlinearity. This spatiotemporal model allows us to explore pulse formation in which a large number of modes interact cooperatively. Pulse formation is shown to play a critical role in comb generation, and we find conditions under which single pulses (dissipative solitons) and multiple pulses (rolls) form. We show that a broadband comb is the spectral signature of a dissipative soliton, and we also show that these solitons can be obtained by using a weak anomalous dispersion and subcritical pumping.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/1f718f94fc108cc1407093ecb01e41b29525ef4f
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In Atomic and Molecular Physics, and Optics
- David J. Moss
- Roberto Morandotti
- Xingyuan Xu
- Arnan Mitchell
- Jiayang Wu
- Brent E. Little
- Sai T. Chu
- Thach G. Nguyen
In Electrical and Electronic Engineering
- David J. Moss
- Roberto Morandotti
- Xingyuan Xu
- Arnan Mitchell
- Jiayang Wu
- Brent E. Little
- Sai T. Chu
- Thach G. Nguyen
Citations in the corpus
- Micro-combs: A novel generation of optical sources (2017, background): “(50)] allows for broadband combswith thousands ofmodes to be realistically and efficiently modelled [46] and that this framework is fully congruent with the previously established coupled-mode approaches [47,48] as far as the numerical complexity is concerned [173].”
- Kerr optical frequency combs: theory, applications and perspectives (2016, background): “[14] that the above modal expansion model is exactly equivalent to the following generalized LLE in the moving frame”
- Broadband RF Channelizer Based on an Integrated Optical Frequency Kerr Comb Source (2018, background): “In fact, the spatial patterns of what we observed appear to be similar to the so called “soliton molecules” [47], [48], which feature reasonably low intensity noise comparable with that of”