Europhys. Lett.
Volume 72, Number 4, November 2005
Page(s) 534 - 540
Section General
Published online 14 October 2005
Europhys. Lett., 72 (4), pp. 534-540 (2005)
DOI: 10.1209/epl/i2005-10286-8

Wave chaos in elastodynamic cavity scattering

A. 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.

© EDP Sciences 2005