The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries

M. Belhadi, O. Rafil, R. Tigrine, A. Khater, J. Hardy, A. Virlouvet, K. Maschke

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The influence of linear defect boundaries on the transmission and scattering of elastic waves in quasi-two-dimensional wave-guides is studied using the matching method. A linear defect boundary separating two wave-guide crystalline lattice domains is characterised here by a linear chain of defect masses and by modified elastic constants in the boundary, different from their values in the bulk of the domains. In particular a square lattice is considered to model the domains of the two-dimensional planar wave-guide containing the linear defect. The reflection and transmission probabilities, and the total transmission probabilities are calculated numerically and presented for the scattering processes in a variety of cases. We show that the interaction between the localised modes introduced by the defect boundary and the propagating modes of the system leads to Fano resonances. These resonances shift to higher (lower) frequencies for smaller (larger) defect masses, and for the same mass as function of the angle of the incident wave. Other spectral features shown to exist are due to interference effects especially at oblique incidence and when modifying the boundary elastic constants.

Original languageEnglish
Pages (from-to)435-443
Number of pages9
JournalEuropean Physical Journal B
Volume15
Issue number3
Publication statusPublished - 1 Jun 2000
Externally publishedYes

Fingerprint

Planar waveguides
Elastic waves
elastic waves
Scattering
waveguides
Defects
defects
scattering
Elastic constants
elastic properties
Crystal lattices
incidence
Crystalline materials
low frequencies
interference
shift

Keywords

  • 61.12.Bt Theories of diffraction and scattering
  • 61.46.+w Clusters, nanoparticles, and nanocrystalline materials
  • 68.65.+g Low-dimensional structures (superlattices, quantum well structures, multilayers): structure, and nonelectronic properties

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Belhadi, M., Rafil, O., Tigrine, R., Khater, A., Hardy, J., Virlouvet, A., & Maschke, K. (2000). The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries. European Physical Journal B, 15(3), 435-443.

The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries. / Belhadi, M.; Rafil, O.; Tigrine, R.; Khater, A.; Hardy, J.; Virlouvet, A.; Maschke, K.

In: European Physical Journal B, Vol. 15, No. 3, 01.06.2000, p. 435-443.

Research output: Contribution to journalArticle

Belhadi, M, Rafil, O, Tigrine, R, Khater, A, Hardy, J, Virlouvet, A & Maschke, K 2000, 'The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries', European Physical Journal B, vol. 15, no. 3, pp. 435-443.
Belhadi, M. ; Rafil, O. ; Tigrine, R. ; Khater, A. ; Hardy, J. ; Virlouvet, A. ; Maschke, K. / The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries. In: European Physical Journal B. 2000 ; Vol. 15, No. 3. pp. 435-443.
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