Graphene exhibits excellent ultrafast optical properties due to its unique electronic structure.In this paper we investigate theoretically the ultrafast dynamic optical properties of graphene based on the Bloch-equations,and introduce the theoretical model of graphene.First,we give the energy which has a linear relationship with the wave vector k.The behavior of electrons in the vicinity of the two Dirac points can be described by the massless Dirac-equation,thus we have the Dirac equation of graphene.Secon...