Plasmon excitation in nanotubes. Comparison with capillaries and wires

Role of spatial dispersion in defining the image of a point charge near the dielectric surface

“…At increasing m the distance between the left and right roots diminishes but always to be nonzero. The same two surface-mode result was obtained in a series of papers (see, e.g., [1][2][3][4][5][6]). Our result that the volume eigenfrequencies are not arisen in the case of cylindrical tube, when the external charge moves in vacuum near the dielectric, apparently, founds in the agreement with the analogous conclusion in the work [5].…”

“…Usually, in classical electrodynamics (see, e.g. [1][2][3][4][5][6]), this problem is solved without taking into account the spatial dispersion of solid polarization properties near the surface. In this paper we investigate the corrections to be done if the medium obey spatial dispersion.…”

Simple model of bulk and surface excitation effects to inelastic scattering in low-energy electron beam irradiation of multi-walled carbon nanotubes

“…First-principles calculations of the inelastic interaction of charged particles with CNTs have been undertaken [37][38][39][40][41][42] that highlight finite-size and collective-excitation effects arising from the reduced dimensionality of the system. On the other hand, more simple models for the inelastic interaction of low-energy electrons (<30 keV) with multiwalled carbon nanotubes (MWCNTs) have been employed for understanding the cutting mechanism of MWCNTs in a SEM [13][14][15][16] and also to carry out Monte Carlo electron trajectory simulations in MWCNT systems.…”

Calculation of the energy losses of charged particles upon motion near a nanotube within dielectric formalism

“…This means that any three of the set of coefficients are linearly expressed in terms of the fourth coefficient. As a result, arbitrariness remains in the form of a general multiplier before the particular solution, corresponding to the given values m and k. If, for example, the coefficients A mk , B mk , and C mk are expressed in terms of D mk , it is possible to obtain the following expression for the component (5) Consequently, the electric field potential is written as the following expansion over the components:…”

“…In the present work a carbon nanotube has been simulated by using a cylindrical layer with a given dielectric function, taking into account the temporal dispersion of the medium. This approach was also used in [3][4][5], where the energy losses were calculated and the polarization potential of charged particles upon motion parallel to the symmetry axis of a continuous cylinder or cylindrical layer was obtained. Another approach using the hydrodynamic model for an elec tron liquid [1,6] gives similar results [7].…”