We have considered the problem of dynamic propagation of the three-dimensional few-cycle optical pulses of Gaussian and super-Gaussian cross-section inside the Bragg medium with carbon nanotubes. The system has dissipation and additional energy “pumping”. We have shown that the pulse propagation is stable inside the considered environment. The special aspect of the pulse evolution of different cross-sections has been determined.

In this paper, we consider the influence of magnetic pump field on the propagation of three-dimensional ultrashort optical pulse with Airy cross-section in a medium of a photonic crystal made of carbon nanotubes (CNTs). It is shown, that the pulse remains localized in a limited region of space and propagates quasi-stable. The possibility of efficient generation of high harmonics under the influence of an external magnetic field that were initially absent is observed.

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We have considered the problem of the evolution of two-dimensional few-cycle optical pulses inside a photonic crystal, which has a spatially modeled refractive index, from oriented carbon nanotubes. Based on Maxwell's equations, using the Coulomb calibration, an effective equation for the vector potential of the electric field of an extremely short pulse was written. Numerical simulation of the pulse dynamics in a medium with a spatially variable refractive index was carried out using a numerical scheme of the "cross" type. It was shown that the pulse propagation is stable in the considered medium. The pulse energy remains localized in a limited region of space, but dispersive spreading of the pulse shape takes place. The dynamics of the pulse was also considered as a function of the parameters of the photonic crystal (modulation depth and period of the refractive index); it showed that it is possible to control the speed of a group packet of a few-cycle optical pulse. The calculations were carried out at times up to 10 ps, which plays an important role in theoretical and applied research.

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