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Frequency comb solutions for driven ${\chi ^{(2)}}$ optical microresonators

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Abstract

Frequency combs in ${\chi ^{(2)}}$ optical microresonators caused by cascaded second-order nonlinear processes currently attract great research interest. In contrast to ${\chi ^{(3)}}$ 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 ${\chi ^{(2)}}$ combs. We report on two new families of driven soliton-comb solutions for ${\chi ^{(2)}}$ 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.

© 2020 Optical Society of America

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