Mobile light bullets in curved waveguide arrays

In this work, we predict, for the first time to our knowledge, that stable broad spatio-temporal solitons can exist in arrays of periodically curved optical waveguides, and such discrete light bullets are mobile and can move across the array. We consider propagation of light pulses in a one-dimensional array of coupled optical waveguides, where waveguide axes are periodically curved in the longitudinal propagation direction z. We find approximate solutions of the propagation equation using the variational technique, where we assume a Gaussian shape of the spatial-temporal soliton. Our results can be generalized to fully three-dimensional light bullets in a two-dimensional waveguide array setting.