Pure high-order dispersion dissipative Kerr solitons in optical cavities

Abstract

Through numerical simulations we demonstrate the existence of an infinite family of temporal cavity solitons which balance arbitrary negative pure, even-order dispersion $k$ and self-phase moduation, as well as loss and parametric gain. These correspond to frequency combs with increasingly flatter spectra as $k$ increases. We determine the analytic forms of these solitons in the limit of high pump power and detuning, and derive their scaling properties. In particular, we show that their energy is related to the pulse duration $\Delta\tau$ as $\Delta\tau^{-(k-1)}$.