Abstract: We calculate effective dielectric constant of a single carbon nanotube with the mean field method. A finite difference time domain method is used to simulate the effective dielectric constant of two-dimensional photonic crystal which is formed with carbon nanotubes. Compared with Maxwell-Gamett's method,these results are closer to the experimental data.

Key words: carbon nanobube, two-dimensional photonic crystal, finite difference time domain method, effective dielectric constant, numerical simulation