Abstract
Frequency combs in χ ( 2 ) optical microresonators caused by cascaded second-order nonlinear processes currently attract great research interest. In contrast to χ ( 3 ) resonators, two light amplitudes relevant to the first and second harmonics (FH and SH), two dispersion coefficients, and a considerable difference of the FH and SH group velocities (the walk-off) must be taken into account to investigate localized coherent structures (solitons) propagating with a common velocity. Finding such comb solutions taking into account external pumping is a crucial step toward the χ ( 2 ) combs. We report on two new families of driven soliton-comb solutions for χ ( 2 ) microresonators. They are strongly localized, corresponding to spectrally broad combs, and possess well-defined FH and SH frequency detunings, propagation velocities, and, generally, nonzero spatial backgrounds.
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