Transmission of phonon modes in quasi-one-dimensional waveguides via double L-shaped joint nanostructures

M. Belhadi, A. Khater, K. Maschke

Research output: Contribution to journalArticle

12 Citations (Scopus)


The influence of a special class of atomic nanostructures embedded on a waveguide is analyzed for the scattering and transmission of elastic waves in quasi-one-dimensional multicanal waveguides. The quasi-one-dimensional waveguide is constructed of double chains of atoms, and the nanostructures consist of geometrical configurations, where the double chains are arranged to form several types of double L-shaped joints. Numerical results are presented for the three types of nanostructures, using the matching method. The theoretical approach allows us to calculate the reflection and the transmission probabilities as well as the average phonon conductance of the system along the waveguide. The results show that the transmission probabilities and the average conductance depend strongly on the type of geometrical joint nanostructure. The pronounced fluctuations in the transmission and conductance spectra as a function of the frequency can be understood as Fano resonances that result from the coherent coupling between the propagating modes and the localized vibrational modes induced by the nanostructures.

Original languageEnglish
Pages (from-to)87-97
Number of pages11
JournalSurface Review and Letters
Issue number1
Publication statusPublished - Feb 2004
Externally publishedYes



  • Interface dynamics
  • Low-dimensional structures
  • Spin waves
  • Theory of scattering

ASJC Scopus subject areas

  • Materials Science(all)
  • Surfaces and Interfaces
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

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