Nonlinear interaction of electromagnetic waves with chiral carbon nanotubes. Helical parametrization

Sergey A. Maksimenko, Arkadii A. Khrushchinsky, Gregory Ya Slepyan, Oleg V. Kibis

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The parametrization scheme for carbon nanotubes (CNTs) - helical parametrization - has been developed, where the crystalline structure of non-zigzag (n1, n2) CNTs is described as a set of n 2 double helices, and the electron energy spectrum of the CNTs consists of n2 different helicoidal branches. The parametrization scheme is shown to be natural and more convenient for analyzing the electromagnetic response properties of chiral CNTs. Bloch equations for the density matrix have been obtained and adapted for the helical parametrization that allows studying the interaction between chiral CNTs and electromagnetic fields with arbitrary polarization and spatial structure. As an example, the spectra of high-order harmonics in chiral CNTs have been evaluated from the Bloch equations.

Original languageEnglish
Title of host publicationNanomodeling II
StatePublished - 2006
Externally publishedYes
EventNanomodeling II - San Diego, CA, United States
Duration: 13 Aug 200615 Aug 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceNanomodeling II
Country/TerritoryUnited States
CitySan Diego, CA


  • Carbon nanotubes
  • Electromagnetic waves
  • Optical nonlinearity
  • Parametrization


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