In this paper, Maxwell-Garnett theory for the effective medium approximation of composite materials is developed to obtain the effective dielectric function of a composite of single-walled carbon nanotubes. To do this, a single-walled carbon nanotube is modeled by an infinitesimally thin cylindrical shell of the π and σ electrons and electronic excitations of this shell are described by means of the two-dimensional two-fluid hydrodynamic theory.

Keywords: Quasi-static approximation, Maxwell-Garnett theory, Single-walled carbon nanotube, Hydrodynamic theory

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