By using the linearized two-fluid quantum hydrodynamic model for σ and π orbitals, the dispersion relations of electromagnetic waves in the single-walled carbon nanotubes are investigated. By injection of a relativistic electron beam, the excitation of electromagnetic waves in this system is studied. The graphs of operating frequency with respect to the accelerating voltage and time growth rate with respect to the wave number for excitation of slow electric mode waves (transverse magnetic mode waves) are presented.
In the linearized hydrodynamic model metallic single-wall carbon nanotubes (SWCNTs) are assumed to be free electron gas layers. By considering the friction force due to the interaction of surface plasmon waves propagating along the metallic SWCNTs and graphite lattice we generalized the results on calculating the dispersion relation of SWCNTs with linearized hydrodynamic model. We obtained a more accurate dispersion relation and investigated the friction force dependence of dispersion relations for transverse magnetic and transverse electric propagations of two azimuthal modes.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.