Interaction of two-dimensional electromagnetic breathers in an array of carbon nanotubes

Abstract

The propagation and interaction of two dimensional bipolar electromagnetic pulses in an array of semiconducting carbon nanotubes have been investigated. The electromagnetic field in the array of carbon nanotubes has been described by the Maxwell's equations reduced to the non one dimensional wave equa tion. The initial distribution of the field has been specified in the form of approaching breathers bounded by a Gaussian profile in the plane perpendicular to the pulse propagation direction. The numerical solution of the wave equation has revealed the possibility of stable propagation of breathers in the array of carbon nano tubes. It has been found that the interaction of electromagnetic breathers in the array of semiconducting car bon nanotubes has a character of quasi elastic collisions.

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

“…with A = {A,0,0}, where j = {j,0,0} is the current density, c is the speed of light in vacuum, and ε is the average relative dielectric constant of the medium (see, e.g., Refs. [27,[29][30][31][32]). We emphasize that the system under consideration has a nonzero electric conductivity only along the x axis, while in the (y,z) plane, the current is absent due to the negligible coupling between neighboring nanotubes.…”

“…This assumption is amply justified by results reported in Refs. [27][28][29][30][31][32]. The second factor in Eq.…”

“…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.…”

External light control of three-dimensional ultrashort far-infrared pulses in an inhomogeneous array of carbon nanotubes

“…[21]. Subsequently, the possibility of the propagation and interaction of solitary electromagnetic waves in CNT arrays was studied in a 2D model, using the same approximation as mentioned above, [22][23][24], and taking into account localization of the field in directions orthogonal to the propagation of the electromagnetic wave [25]. In Refs.…”

Asymptotic dynamics of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes

“…The possibility of stable propagation of ultrashort electromagnetic pulses in arrays of carbon nanotubes was first theoretically established in [32,33] in a one-dimensional model, and was subsequently studied in a two-dimensional model [34][35][36][37][38] in the framework of the homogeneous field approximation along the axes of nanotubes. The approach used in the above works did not take into account the effects associated with the inhomogeneity of the field along the nanotube axes; therefore, in order to obtain a more realistic description of field evolution, the mathematical model was generalized to the case of two and three spatial dimensions, and was supplemented by equations that take into account the redistribution of the charge density in the system under the influence of the field inhomogeneity along the axis of the nanotubes.…”