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Periodic orbits in scattering from elastic voids
Niels Sondergaard, Predrag Cvitanovic, Andreas Wirzba
The scattering determinant for the scattering of waves from several obstacles is considered in the case of elastic solids with voids. The multi-scattering determinant displays cont…
Resolving isospectral "drums" by counting nodal domains
Sven Gnutzmann, Uzy Smilansky, Niels Sondergaard
Several types of systems were put forward during the past decades to show that there exist {\it isospectral} systems which are {\it metrically} different. One important class consi…
Counting function for a sphere of anisotropic quartz
N. Sondergaard, T. Guhr, M. Oxborrow +2
We calculate the leading Weyl term of the counting function for a mono-crystalline quartz sphere. In contrast to other studies of counting functions, the anisotropy of quartz is a…
Wave Chaos in Elastodynamic Cavity Scattering
Andreas Wirzba, Niels Sondergaard, Predrag Cvitanovic
The exact elastodynamic scattering theory is constructed to describe the spectral properties of two- and more-cylindrical cavity systems, and compared to an elastodynamic generaliz…