Collisions of three-dimensional bipolar optical solitons in an array of carbon nanotubes

Propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an inhomogeneous array of carbon nanotubes

“…Naturally, the first factor considered to make the model more realistic was the dimensionality of the model. The propagation of electromagnetic waves in arrays of CNTs was studied in the framework of 1D [12,26], 2D [27][28][29][30], and 3D [31,32] models. It was established that bipolar ultrashort electromagnetic pulses propagate, in a stable fashion, in the form of "breatherlike" light bullets over distances far exceeding the characteristic size of the pulses along the direction of their motion.…”

Three-dimensional light bullets in a Bragg medium with carbon nanotubes

“…They can also be used as the medium in which the formation of light bullets occurs. Corresponding calculations were made for one-, twoand three-dimensional cases [13][14][15][16][17][18][19][20] and it was found that the CNT medium allows for the possible stable propagation of light bullets. There is only one rather weighty constraint that comes from practical considerations: the speed of propagation of light bullets is only defined by the refractive index of the medium and it can only be tuned in a fairly narrow interval of values.…”

Influence of the order parameter on the dynamics of ultrashort pulses in an environment with carbon nanotubes

“…The electric field of the pulse is assumed to be directed along the axis of the nanotubes, i.e., E ¼ {0, 0, E(r, t)}. The dispersion law for zigzag nanotubes (m, 0) reads 24,25 s…”

“…However, previous estimates (see, e.g., Refs. [21][22][23][24] indicate that the resulting error can be considered to be negligible (less than 1%). It is worth noting that due to the field inhomogeneity along certain directions (e.g., the field is nonuniform along the z-axis, the current is also not uniform.…”

“…On the other hand, media containing CNTs can withstand extremely strong electromagnetic field and, as shown previously, they allow for the propagation of stable solitary states of the electromagnetic field. [13][14][15][16][17][18][19][20][21][22][23][24] Such localized wave packets that are localized in space and that can travel while retaining their spatiotemporal shape-in spite of diffraction and dispersion effects-are referred to as light bullets. It is worth adding that light bullets can be used to carry out the spectroscopy of such media and processes occurring therein.…”