| The exact scattering resonances are calculated for a system of several cylindrical cavities in plane strain elastodynamics. A basis of scattering states is constructed and the scattering determinant is found. The high frequency limit is investigated by studying the Green's function for one cavity. In the high frequency limit the spectrum is dominated by infinitely many periodic orbits, each orbit consisting of classical particle trajectory segments with varying polarizations, and surface wave segments, with contributions of longer orbits decreasing in importance with the orbit length. |
