Three-dimensional extremely short optical pulses in graphene with coulomb impurities with taking into account inhomogeneity

Maxwell's equations were considered for the electromagnetic field propagating in doped graphene taking spatial inhomogeneity in the three-dimensional case. The electronic spectrum for the graphene subsystem was obtained from the model taking into account the Coulomb impurity. The effective equation for the vector potential of the electromagnetic field was solved numerically. A comparison of the forms of extremely short optical pulses is done for the case with recording inhomogeneities and one without.