Few-cycle two-frequency spatiotemporal solitons in the absence of group velocity dispersion at one of the components

Abstract

The second harmonic generation by few-cycle pulses is studied when the group velocity dispersion coefficient is equal to zero at the fundamental or doubled frequency. Using numerical simulation, it is shown that in both cases, in the presence of a negative third-order dispersion, the formation of stable two-frequency spatiotemporal solitons is possible.