Comment on: “Electromagnetic wave propagation in single-wall carbon nanotubes” [Phys. Lett. A 333 (2004) 303]

Comment on “Study of geometrical effects on the characteristics of metallic double-walled carbon nanotube waveguides through quantum hydrodynamics” [Phys. Plasmas 16, 063501 (2009)]

“…2, we extend the previous works [3][4][5] to describe the propagation of the electromagnetic wave in the metallic double-walled carbon nanotubes by using the linearized quantum hydrodynamic model and classical electrodynamic formulations. We derived general expressions of dispersion relations of the electromagnetic waves with TM and TE modes, respectively.…”

“…9 is also largely a copy of our work 6 and again there is no reference to our works. 2,4,6 and other papers. 5,7 …”

Plasmon dispersion in metallic carbon nanotubes in the presence of low-frequency electromagnetic radiation

“…Mowbray et al with hydrodynamic model, studied interactions of fast charged particle with carbon nanotubes and calculated the plasmon dispersion for a SWNT using the two fluid model [13] and a 2WNT using a single fluid model [14], then Chung et al [15] planed on calculating the plasmon energies for a MWNT using the two fluid model. In recent studies of electromagnetic wave propagation in SWNT [16], it has been shown that dispersion behaviours of the TE and TM modes are quite similar and dispersion relation of the two types of modes are similar with that of the well-known electrostatic collective excitations [10], which has a dimensionality crossover from a 1D system to a 2D system. For 2WNT the coupling between the two layers leads to important modifications.…”

“…In Fig. 2 of that paper, one can see that the (16,3) tube has only optical modes, while the (10, 10) and (18, 0) tubes each have an acoustic mode. This is because the (16,3) tube is semiconducting while the other tubes are metallic.…”

“…Since the discovery of carbon nanotubes by Iijima [1], a lot of experimental [2][3][4][5] and theoretical [6][7][8][9][10][11][12][13][14][15][16][17][18][19] work has been done to study the collective electronic excitations in these systems. Lin and Shung [6] evaluated the dielectric function within the random phase approximation (RPA), the zeros of this function define the plasmon modes.…”