Volume 72, Number 4, November 2005
|Page(s)||534 - 540|
|Published online||14 October 2005|
Wave chaos in elastodynamic cavity scattering
Institut für Kernphysik, Forschungszentrum Jülich - D-52425 Jülich, Germany
2 Matematisk Fysik, Lunds Universitet - Box 118, SE-22100 Lund, Sweden
3 Center for Nonlinear Science, School of Physics, Georgia Institute of Technology Atlanta, GA 30332-0430, USA
Accepted: 26 September 2005
The exact elastodynamic scattering theory is constructed to describe the spectral properties of two- and more- cylindrical cavity systems, and compared to an elastodynamic generalization of the semi-classical Gutzwiller unstable periodic orbits formulas. In contrast to quantum mechanics, complex periodic orbits associated with the surface Rayleigh waves dominate the low-frequency spectrum, and already the two-cavity system displays chaotic features.
PACS: 05.45.Mt – Quantum chaos; semiclassical methods / 46.40.Cd – Mechanical wave propagation (including diffraction, scattering, and dispersion) / 62.30.+d – Mechanical and elastic waves; vibrations
© EDP Sciences, 2005
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