Study of terahertz wave propagation in carbon nanotube arrays based on the symplectic formulation

With the effective medium model, the properties of terahertz wave propagation in the periodic arrays of carbon nanotubes were investigated. In view of the nonlocal quasistatic model, the relative permittivity was derived. The symplectic formulation was used to solve the eigenvalue problem of the electromagnetic wave propagation in the periodic arrays of carbon nanotubes and the dispersion relation was obtained. The properties of electromagnetic wave propagation in arrays of vertical and tilted carbon nanotubes were given through the numerical calculation. The numerical simulation shows that the effective medium model without nonlocal spatial dispersion gives results in good agreement with those from the electrodynamical model at the frequencies within the terahertz range, thus the spatial dispersion can be ignored. The research makes a theoretical reference for the design of the propagation devices for terahertz waves.