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We theoretically study the generation of a Kerr frequency combs in a cylindrical microresonator with an effective radius variation. We investigate a model describing the propagation of the whispering gallery modes on the surface of an optical fiber coupled to a source. We also discusses the details of the numerical scheme and the effect of numerical dispersion on the nonlinear generation of axial eigenmodes.
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Alena Yu. Kolesnikova, Sergey V. Suchkov, Ilya D. Vatnik, "Comb generation in cylindrical microresonators based on optical fibers," Proc. SPIE 12323, Quantum and Nonlinear Optics IX, 1232302 (3 January 2023); https://doi.org/10.1117/12.2643831