Ultrafast twin-peak rogue waves in a vector field

Rogue waves, which were first discovered in the ocean, constitute an important factor in the dynamics of many physical systems. However, while the ocean can be represented by a scalar field, many physical systems, specifically in optics, are situated on a vector field, and thus, there are several crucial differences which must be considered. For example, twin-peak rogue waves are rare events in the ocean but are commonly observed in optics. We developed a model presenting the differences between the scalar field and the vector field. We show that optical twin-peak rogue waves have peaks with orthogonal states of polarization and measured such rogue waves in fiber lasers showing an agreement between our model and the measured results. This model, which can also be applied to other equivalent systems, explains the formation of rogue wave patterns in a vector field and their dynamics as a function of time.