Recent advances in the fabrication and characterization of nanomaterials have led to intelligible applications of such nanomaterials in next generation flexible electronics and highly efficient photovoltaic devices. Nano devices are moving on a path toward smaller designs. This idea helps scientists to extend the efficiency of nano devices such as antennas, sensors and nano robots. On the other hand, the excellent electron transport property of Graphene makes it an attractive choice for next generation electronics and applications in nanotechnology. In this paper we present a mathematically analyze of Carbon Nanotubes (CNT) based Nano antennas (Nantennas) and further we present some applications regarding to a novel design in scale of nano meter