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4 March 2014 Kerr comb generation from the perspective of spatial dissipative structures
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The theoretical understanding of Kerr combs has been the object of extensive efforts worldwide in the last ten years. Several insights have been provided since then into this problem and have enabled significant progress for the optimization and tailoring of these combs. Here, we investigate the formation of dissipative structures in crystalline whispering-gallery mode disk resonators that are pumped in different dispersion regimes. In the Fourier domain, these dissipative structures correspond to specific types of mode-locked Kerr optical frequency combs. Depending on the sign of the second-order chromatic dispersion and on the pumping conditions, we show that either bright or dark cavity solitons can emerge, and we show these two regimes are associated with characteristic spectral signatures that can be discriminated experimentally. We use the Lugiato-Lefever spatiotemporal formalism to investigate the temporal dynamics leading to the formation of these azimuthal solitons, as well as the emergence of Turing patterns. The theoretical results are in excellent agreement with experimental measurements that are obtained using calcium and magnesium fluoride disk resonators pumped near 1550 nm.
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Aurélien Coillet, Irina Balakireva, Khaldoun Saleh, Rémi Henriet, Laurent Larger, and Yanne K. Chembo "Kerr comb generation from the perspective of spatial dissipative structures", Proc. SPIE 8960, Laser Resonators, Microresonators, and Beam Control XVI, 896005 (4 March 2014);

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