COMPORTAMIENTO DE METAMATERIAL (LHM) Y CONVENCIONAL (RHM) EN NANOESTRUCTURAS CILíNDRICAS (NANOTUBOS)

this paper studies the behavior of conventional or "right-handed materials" (rhm) and "left handed materials" (lhm) also named metamaterial, of cylindrical nanostructures (nanotubes) from the classical point of view. the nanotubes are building imposing boundary conditions in an infinite two-dimensional network of coupled lc circuits with interaction to nearest-neighbors. in this article, materials are classified considering the sign of the cosine of the angle between the group velocity vector and the phase velocity vector, in such a way that we have lhm behavior for negative cosine and we have rhm when the cosine is positive. the axis of the nanocylinders coincides, as the first case, with the dual transmission line, and as a second case, with the direct or conventional transmission line. this study shows that both nanocyinders have rhm and lhm behavior. in addition, it is found that these nanocylinders continues to have low-pass and high-pass filter behavior, but now a discrete number of cutting frequencies appear in each case, in contrast with the transmission lines behavior.