Dynamics of microresonator frequency comb generation: models and stability
Review article, 2016
Microresonator frequency combs hold promise for enabling a new class of light sources that are simultaneously both broadband and coherent, and that could allow for a profusion of potential applications. In this article, we review various theoretical models for describing the temporal dynamics and formation of optical frequency combs. These models form the basis for performing numerical simulations that can be used in order to better understand the comb generation process, for example helping to identify the universal combcharacteristics and their different associated physical phenomena. Moreover, models allow for the study, design and optimization of comb properties prior to the fabrication of actual devices. We consider and derive theoretical formalisms based on the Ikeda map, the modal expansion approach, and the Lugiato-Lefever equation. We further discuss the generation of frequency combs in silicon resonators featuring multiphoton absorption and free-carrier effects. Additionally, we review comb stability properties and consider the role of modulational instability as well as of parametric instabilities due to the boundary conditions of the cavity. These instability mechanisms are the basis for comprehending the process of frequency comb formation, for identifying the different dynamical regimes and the associated dependence on the comb parameters. Finally, we also discuss the phenomena of continuous wave bi- and multistability and its relation to the observation of mode-locked cavity solitons.
Optics
ring cavity
silicon wave-guides
transmitted light
Materials Science
Physics
v51
v54
microring resonators
whispering-gallery modes
chip
1983
microresonator
temporal cavity solitons
laughlin dw
physical review letters
Science & Technology - Other Topics
dispersion
modulational instability
fiber
frequency comb
laughlin dw
p75
modeling
physical review letters
1985
Nonlinear optics
group-velocity
p681
Author
Tobias Hansson
Chalmers, Physics, Condensed Matter Theory
S. Wabnitz
University of Brescia
Nanophotonics
21928614 (eISSN)
Vol. 5 2 231-243Subject Categories
Atom and Molecular Physics and Optics
DOI
10.1515/nanoph-2016-0012