Wave chaos in elastodynamic cavity scattering

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.