Scattering of vibrational waves in perturbed quasi-one-dimensional multichannel waveguides

A. Fellay, F. Gagel, K. Maschke, A. Virlouvet, A. Khater

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

We investigate the scattering properties of vibrational waves in perturbed quasi-one-dimensional multichannel waveguides in the harmonic approximation. Local defects are introduced by changing the masses or the spring constants of the perfect waveguide. For both types of defects we find resonances in the continuum. These are due to the coherent coupling between local defect states and propagating states. Beyond the similarity with the quantum-mechanical case of electron scattering and associated Fano resonances, the scattering behavior of vibrational waves appears to be more complex. This complexity can be attributed to the vector character of the vibrational amplitudes and to additional possibilities for mode-mode coupling by the defects. To illustrate the method a detailed discussion of the transmission spectra is presented for the generic case of a double chain containing defects, which shows already the essential characteristic features of a multichannel system.

Original languageEnglish
Pages (from-to)1707-1717
Number of pages11
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number3
Publication statusPublished - 15 Jan 1997
Externally publishedYes

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Waveguides
Scattering
waveguides
Defects
defects
scattering
Electron scattering
coupled modes
electron scattering
continuums
harmonics
approximation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Scattering of vibrational waves in perturbed quasi-one-dimensional multichannel waveguides. / Fellay, A.; Gagel, F.; Maschke, K.; Virlouvet, A.; Khater, A.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 3, 15.01.1997, p. 1707-1717.

Research output: Contribution to journalArticle

Fellay, A, Gagel, F, Maschke, K, Virlouvet, A & Khater, A 1997, 'Scattering of vibrational waves in perturbed quasi-one-dimensional multichannel waveguides', Physical Review B - Condensed Matter and Materials Physics, vol. 55, no. 3, pp. 1707-1717.
Fellay, A. ; Gagel, F. ; Maschke, K. ; Virlouvet, A. ; Khater, A. / Scattering of vibrational waves in perturbed quasi-one-dimensional multichannel waveguides. In: Physical Review B - Condensed Matter and Materials Physics. 1997 ; Vol. 55, No. 3. pp. 1707-1717.
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