Interaction of a two-dimensional electromagnetic breather with an electron inhomogeneity in an array of carbon nanotubes

Abstract

Propagation of ultrashort laser pulses through various nano-objects has recently became an attractive topic for both theoretical and experimental studies due to its promising perspectives in a variety of problems of modern nanoelectronics. Here, we study the propagation of extremely short two-dimensional bipolar electromagnetic pulses in a heterogeneous array of semiconductor carbon nanotubes. Heterogeneity is defined as a region of enhanced electron density. The electromagnetic field in an array of nanotubes is described by Maxwell's equations, reduced to a multidimensional wave equation. Our numerical analysis shows the possibility of stable propagation of an electromagnetic pulse in a heterogeneous array of nanotubes. Furthermore, we establish that, depending on its speed of propagation, the pulse can pass through the area of increased electron concentration or be reflected therefrom.

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

“…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.…”

“…This approximation has been validated by other numerical experiments for the case of CNTs and a pulse duration of tens of femtoseconds. [21][22][23] III. RESULTS AND DISCUSSION…”

“…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.…”

Three-dimensional extremely-short optical pulses in carbon nanotube arrays in the presence of an external magnetic field

“…This is confirmed by numerical experiments for the case of carbon nanotubes and a pulse duration of tens of femtoseconds. 11,14,15 3. Results of the Numerical Analysis Equation (7) has been solved numerically using the explicit finite difference crosstype schemes 16 with temporal evolution.…”