Electrodynamics of carbon nanotubes

A theoretical concept on electrodynamics of carbon nanotubes (CNTs) based on the effective two-side impedance boundary conditions for electromagnetic field is presented. The effective tensor of sheet impedance is introduced as a phenomenological parameter for single- and double-walled CNTs basing on the quantum models of charge carrier transport. Two types of boundary value problems are formulated for CNT electrodynamics: (i) eigenmodes of CNTs and (ii) CNT excitation by the external field. The second type of the problems takes into account the finite-length effects basing on the integral equation technique. These problems have been applied to the surface plasmon propagation and antenna resonances. In particular, it gives an interpretation of the terahertz conductivity peak, which physical origin has been debated by different research groups for a long time. The generalization to the quantum optical problems based on the concept of the surface noise current is given. It is applied to analysis of Purcell effect and thermal radiation in CNT.