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.