Analysis of Large Planar Arrays of Single-Wall Carbon Nanotubes

Electromagnetic properties of finite planar arrays of infinite-length single-wall carbon nanotubes are determined. A modal capacitance and inductance is identified and the nanotube-to-ground-plane total capacitance is obtained using two methods, one based on the total capacitance matrix and the other on a dynamic modal method. Both methods incorporate the quantum capacitance in a natural manner. The formulation proceeds from Boltzmann's equation and Maxwell's equations and does not require as an initial assumption an equivalent transmission line model. Good agreement is shown with measured results.