Open AccessThe connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle
Author(s) -
Saviot L.,
Murray D. B.
Publication year - 2004
Publication title -
physica status solidi (c)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 46
eISSN - 1610-1642
pISSN - 1610-1634
DOI - 10.1002/pssc.200405333
Subject(s) - vibration , scattering , cross section (physics) , shell (structure) , connection (principal bundle) , nanoparticle , plane (geometry) , plane wave , acoustic wave , matrix (chemical analysis) , mode (computer interface) , physics , s matrix theory , acoustics , materials science , optics , geometry , composite material , mathematics , computer science , quantum mechanics , operating system
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 the complex frequency plane. The location of the poles is unchanged even if the incident wave is nonplanar. A second approach approximating the infinite matrix as a very large shell surrounding the nanoparticle provides an alternate way of predicting the mode frequencies. The wave function of the vibration is also provided. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)