92 citations · 337 across the 9 of their papers we have counts for
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Longitudinal versus transverse spheroidal vibrational modes of an elastic sphere
L. Saviot, D. B. Murray
Analysis of the spheroidal modes of vibration of a free elastic sphere show that they can be qualitatively grouped into two categories: primarily longitudinal and primarily transve…
The connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle
L. Saviot, D. B. Murray
Arbitrary waves incident on a solid embedded nanoparticle are studied. The acoustic vibrational frequencies are shown to correspond to the poles of the scattering cross section in…
Continuum elastic sphere vibrations as a model for low-lying optical modes in icosahedral quasicrystals
E. Duval, L. Saviot, A. Mermet +1
The nearly dispersionless, so-called "optical" vibrational modes observed by inelastic neutron scattering from icosahedral Al-Pd-Mn and Zn-Mg-Y quasicrystals are found to correspon…
Long lived acoustic vibrational modes of an embedded nanoparticle
Lucien Saviot, Daniel B. Murray
Classical continuum elastic calculations show that the acoustic vibrational modes of an embedded nanoparticle can be lightly damped even when the longitudinal plane wave acoustic i…
Phonons in an Inhomogeneous Continuum: Vibrations of an Embedded Nanoparticle
Daniel B. Murray, Lucien Saviot
The spectrum of acoustic vibrational modes of an inhomogeneous elastic continuum are analyzed with application to a spherical nanoparticle embedded in an infinite glass block. The…
Vibrations of free and embedded anisotropic elastic spheres: Application to low-frequency Raman scattering of silicon nanoparticles in silica
Lucien Saviot, Daniel B Murray, Maria Del Carmen Marco De Lucas
Vibrational mode frequencies and damping are calculated for an elastic sphere embedded in an infinite, homogeneous, isotropic elastic medium. Anisotropic elasticity of the sphere s…