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Transmission Of Phonon Modes In Quasi-One-Dimensional Waveguides Via Double L-Shaped Joint Nanostructures

Author

Listed:
  • M. BELHADI

    (Département de Physique, Faculté des Sciences, Université Mouloud Mammeri de Tizi-Ouzou, B. P. No. 17 RP, 15000 Tizi-Ouzou, Algeria)

  • A. KHATER

    (Laboratoire de Physique de l'Etat Condensé UMR 6087, Université du Maine, 72085 Le Mans, France;
    Université Française d'Egypte et Ambassade de France, Le Caire, Egypt)

  • K. MASCHKE

    (Institut de Théories des Phénomènes Physiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland)

Abstract

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 ofdoubleL-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.

Suggested Citation

  • M. Belhadi & A. Khater & K. Maschke, 2004. "Transmission Of Phonon Modes In Quasi-One-Dimensional Waveguides Via Double L-Shaped Joint Nanostructures," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 87-97.
  • Handle: RePEc:wsi:srlxxx:v:11:y:2004:i:01:n:s0218625x04005950
    DOI: 10.1142/S0218625X04005950
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