6533b873fe1ef96bd12d4cb4

RESEARCH PRODUCT

Longitudinal versus transverse spheroidal vibrational modes of an elastic sphere

Daniel B. MurraySaviot Lucien

subject

PhysicsCondensed Matter - Materials ScienceContinuum mechanicsPhonon[ PHYS.COND.CM-MS ] Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]Materials Science (cond-mat.mtrl-sci)FOS: Physical sciences02 engineering and technologyInelastic scattering021001 nanoscience & nanotechnologyCondensed Matter Physics01 natural sciencesLight scatteringElectronic Optical and Magnetic MaterialsTransverse planeClassical mechanicsNormal modeSpeed of soundMolecular vibration0103 physical sciences[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]010306 general physics0210 nano-technology

description

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 transverse. This is not a sharp distinction. However, there is a relatively stark contrast between the two kinds of modes. Primarily transverse modes have a small divergence and have frequencies that are almost functionally independent of the longitudinal speed of sound. Analysis of inelastic light scattering intensity from confined acoustic phonons in nanoparticles requires an understanding of this qualitative distinction between different spheroidal modes. In addition, some common misconceptions about spheroidal modes are corrected.

https://hal.archives-ouvertes.fr/hal-00014389