Wave chaos in elastodynamic cavity scatteringA. Wirzba1, N. Søndergaard2 and P. Cvitanovic3
1 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
received 29 June 2005; accepted in final form 26 September 2005
published online 14 October 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.
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.
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