Abstract
New resonant emission of dispersive waves by oscillating solitary structures in optical fiber cavities is considered analytically and numerically. The pulse propagation is described in the framework of the Lugiato-Lefever equation when a Hopf-bifurcation can result in the formation of oscillating dissipative solitons. The resonance condition for the radiation of the dissipative oscillating solitons is derived and it is demonstrated that the predicted resonances match the spectral lines observed in numerical simulations perfectly. The complex recoil of the radiation on the soliton dynamics is discussed. The reported effect can have importance for the generation of frequency combs in nonlinear microring resonators.
Highlights
New resonant emission of dispersive waves by oscillating solitary structures in optical fiber cavities is considered analytically and numerically
In the present article we consider synchrotron radiation of oscillating solitons propagating in an optical fiber cavity with third order dispersion
It is shown that oscillating solitons can emit resonant radiation analogous to the synchrotron and cyclotron radiations of moving charges
Summary
New resonant emission of dispersive waves by oscillating solitary structures in optical fiber cavities is considered analytically and numerically. The resonance condition for the radiation of the dissipative oscillating solitons is derived and it is demonstrated that the predicted resonances match the spectral lines observed in numerical simulations perfectly. In recent time resonant radiation of solitons propagating in fibers with high order dispersion attracts much of attention because of both the fundamental interest and practical importance[1,2].
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