Influence of magnetic field on two-dimensional light bullets in heterogeneous medium of carbon nanotubes

Theoretical investigation of two-dimensional few-cycle optical pulse (light bullet) dynamics in heterogeneous medium of carbon nanotubes in the presence of an external constant magnetic field parallel to the axis of nanotubes. Electromagnetic field of pulse describes classically, on basis of Maxwell equation, and carbon nanotubes give dispersion law for electrons, which interacting with pulse. The dispersion law is written in the close-coupling approximation of the analysis of the dynamics -electrons, which interact with the electromagnetic field of extremely short pulse. The initial condition for the vector potential of the electric field of an extremely short optical pulse is chosen in the Gaussian form. The time and coordinate steps were determined from the standard stability conditions and sequentially halved until the solution changed in the eight decimal sign. As shown by the results of numerical calculations, the propagation of two-dimensional extremely short optical pulse in the presence of the magnetic field is stable, and also able to establish the impact of the period of the inhomogeneity of the medium on the velocity of propagation of extremely short optical pulse, namely, by increasing the lattice period is extremely short optical pulse is spreading most rapidly.