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Kelvin-Helmholtz instability in nonlinear optics
preprintposted on 2023-09-16, 16:00 authored by Victor P. Ruban
Paraxial propagation of a quasi-monochromatic light wave with two circular polarizations in a defocusing Kerr medium with anomalous dispersion inside a waveguide of annular cross-section is considered. In the phase-separated regime, the dynamics is similar to a flow of immiscible fluids. For some initial conditions with relative gliding of the fluids along the interface, the Kelvin-Helmholtz instability in its ``quantum'' variant is developed. Numerical simulations of the corresponding coupled nonlinear Schroedinger equations have shown formation of specific structures on the nonlinear stage of the instability. Similar structures have been known in the theory of binary Bose-Einstein condensates, but for optics they are presented here for the first time.